Scaling of Entanglement close to a Quantum Phase Transitions

Abstract

In this Letter we discuss the entanglement near a quantum phase transition by analyzing the properties of the concurrence for a class of exactly solvable models in one dimension. We find that entanglement can be classified in the framework of scaling theory. Further, we reveal a profound difference between classical correlations and the non-local quantum correlation, entanglement: the correlation length diverges at the phase transition, whereas entanglement in general remains short ranged.

4 pages, 4 figures, revtex. Stylistic changes and format modified

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• Entanglement and Nonlocality in Infinite 1D Systems
• Preparing Greenberger-Horne-Zeilinger and $W$ states on a long-range Ising spin model by global controls
• Entanglement negativity between separated regions in quantum critical systems
• Universal short-time quantum critical dynamics in imaginary time
• Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• On the entanglement structure in quantum cloning
• Global entanglement and quantum phase transitions in the transverse XY Heisenberg chain
• Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
• Entanglement of two delocalised electrons
• Entanglement properties in (1/2,1) mixed-spin Heisenberg systems
• Atomic Entanglement vs Photonic Visibility for Quantum Criticality of Hybrid System
• Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Entanglement in macroscopic systems
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Quantum Phase Transitions and Matrix Product States in Spin Ladders
• Mixed State Entanglement for Holographic Axion Model
• Tripartite thermal correlations in an inhomogeneous spin-star system
• In and out of equilibrium quantum metrology with mean-field quantum criticality
• Entanglement Properties of Some Fractional Quantum Hall Liquids
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Sufficient Condition for Entanglement Area Laws in Thermodynamically Gapped Spin Systems
• A scheme for entanglement extraction from a solid
• Multi-partite quantum nonlocality and Bell-type inequalities in an infinite-order quantum phase transition of the one-dimensional spin-1/2 XXZ chain
• Entanglement and quantum phase transitions in matrix product spin one chains
• Quantum Phase Transition and Entanglement in Topological Quantum Wires
• Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model
• Analytic results on the geometric entropy for free fields
• Entanglement of Purification in Holographic Systems
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Detection of multipartite entanglement with two-body correlations
• Comb entanglement in quantum spin chains
• Entanglement of eta-pairing state with off-diagonal long-range order
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Genuine Tripartite Entanglement in a Spin-Star Network at Thermal Equilibrium
• Heisenberg Uncertainty Principle as Probe of Entanglement Entropy: Application to Superradiant Quantum Phase Transitions
• Topological quantum phase transition in an extended Kitaev spin model
• Pairwise tomography networks for many-body quantum systems
• A variational method based on weighted graph states
• Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
• Quantum entanglement in states generated by bilocal group algebras
• The ground state of a mixture of two species of fermionic atoms in 1D optical lattice
• Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement
• Entanglement and quantum phase transitions
• Entanglement in Valence-Bond-Solid States
• Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking
• Quantum entanglement generation with surface acoustic waves
• Multipartite-Entanglement Tomography of a Quantum Simulator
• Dynamical quantum correlations after sudden quenches
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• Many-body entanglement in a topological chiral ladder
• Dissipative Dicke model with non-linear atom-photon interaction
• Observing a Quantum Phase Transition by Measuring a Single Spin
• Scaling of the local quantum uncertainty at quantum phase transitions
• Scaling of the entanglement spectrum in driving critical dynamics
• Tree tensor networks and entanglement spectra
• Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
• Entanglement Entropy of One-dimensional Gapped Spin Chains
• Mutual information and spontaneous symmetry breaking
• Entanglement convertibility by sweeping through the quantum phases of the alternating bonds $XXZ$ chain
• Entanglement Enhanced Information Transfer through Strongly Correlated Systems and its Application to Optical Lattices
• Quantum state engineering in hybrid open quantum systems
• Measurement induced transitions in non-Markovian free fermion ladders
• Unified phase diagram of models exhibiting neutral-ionic transition
• Exact Calculation of Entanglement in a 19-site 2D Spin System
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement
• Entanglement from density measurements: analytical density-functional for the entanglement of strongly correlated fermions
• Entanglement of an impurity and conduction spins in the Kondo model
• Stability of global entanglement in thermal states of spin chains
• Enhancing the Detection of Natural Thermal Entanglement with Disorder
• Dynamics of entanglement in the transverse Ising model
• Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
• Reconstructing Quantum Geometry from Quantum Information: Area Renormalisation, Coarse-Graining and Entanglement on Spin Networks
• Probing quantum complexity via universal saturation of stabilizer entropies
• Quantum Renormalization Group for Ground-State Fidelity
• Quantum channels in random spin chains
• Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations
• Quantum Phase Transitions detected by a local probe using Time Correlations and Violations of Leggett-Garg Inequalities
• Matrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions
• Quantum states far from the energy eigenstates of any local Hamiltonian
• Emergent quantum phases in a heteronuclear molecular Bose--Einstein condensate model
• Out of equilibrium correlation functions of quantum anisotropic XY models: one-particle excitations
• Zero dimensional area law in a gapless fermion system
• Lee-Yang theory of criticality in interacting quantum many-body systems
• Entanglement in the quantum Ising model
• Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii-Moriya interaction
• Entanglement and local extremes at an infinite-order quantum phase transition
• Majorana charges, winding numbers and Chern numbers in quantum Ising models
• Critical light-matter entanglement at cavity mediated phase transition
• Finite-size criticality in fully connected spin models on superconducting quantum hardware
• A measure of tripartite entanglement in bosonic and fermionic systems
• Entanglement Entropy in Random Quantum Spin-S Chains
• Finite Size Corrections to Entanglement in Quantum Critical Systems
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Novel Approach to Unveil Quantum Phase Transitions Using Fidelity Map
• Dynamics of entanglement in a two-dimensional spin system
• Non-equilibrium quantum phase transition via entanglement decoherence dynamics
• Entanglement in the One-dimensional Kondo Necklace Model
• Entanglement and magnetic order
• Quantum correlations and entanglement in a Kitaev-type spin chain
• Two Mode Photon Bunching Effect as Witness of Quantum Criticality in Circuit QED
• Localization-delocalization transitions in a two-dimensional quantum percolation model: von Neumann entropy studies
• When finite-size corrections vanish: The S=1/2 XXZ model and the Razumov-Stroganov state
• Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions
• Entanglement classification with matrix product states
• Thermal entanglement between non-nearest-neighbor spins on fractal lattices
• Entanglement of a qubit coupled to a resonator in the adiabatic regime
• Quantum Entanglement and fixed point Hopf bifurcation
• Efficient mutual magic and magic capacity with matrix product states
• Fermionic concurrence in the extended Hubbard dimer
• Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
• Probing the quantum phase transition in the Dicke model through mechanical vibrations
• How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
• Entanglement and dephasing of quantum dissipative systems
• Entanglement of inhomogeneous free fermions on hyperplane lattices
• Scaling of entanglement at quantum phase transition for two-dimensional array of quantum dots
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Phase diagram of truncated tetrahedral model
• Correlation-induced coherence and its use in detecting quantum phase transitions
• Conditions for monogamy of quantum correlations in multipartite systems
• Energy cost of entanglement extraction in complex quantum systems
• Entanglement in quantum catastrophes
• Quantum renormalization group approach to geometric phases in spin chains
• Entanglement between distant qubits in cyclic XX chains
• Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
• Lower Bound of Concurrence for Qubit Systems
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Higher particle form factors of branch point twist fields in integrable quantum field theories
• Benford's Law Detects Quantum Phase Transitions similarly as Earthquakes
• Global quantum discord and quantum phase transition in XY model
• Entanglement and exotic superfluidity in spin-imbalanced lattices
• Quantum Correlation with Sandwiched Relative Entropies: Advantageous as Order Parameter in Quantum Phase Transitions
• Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
• Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
• Dicke-like quantum phase transition and vacuum entanglement with two coupled atomic ensembles
• Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
• Fast simulation of a quantum phase transition in an ion-trap realisable unitary map
• Description of thermal entanglement with the static path plus random-phase approximation
• Entanglement as a quantum order parameter
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Entanglement dynamics of one-dimensional driven spin systems in time-varying magnetic fields
• Quenching Dynamics and Quantum Information
• Lower Bound of Concurrence Based on Positive Maps
• Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
• Entanglement statistics in Markovian open quantum systems: a matter of mutation and selection
• Complexity and Floquet dynamics: non-equilibrium Ising phase transitions
• Entanglement resonances of driven multi-partite quantum systems
• Mixed State Entanglement and Thermal Phase Transitions
• Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy
• Entangled States and Super-radiant Phase Transition
• Bipartite entanglement and localization of one-particle states
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• Signature of Quantum Entanglement in NH4CuPO4.H2O
• Finite temperature reservoir engineering and entanglement dynamics
• Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
• Scale vs Conformal invariance from Entanglement Entropy
• Thermodynamic Entanglement of Magnonic Condensates
• Entanglement and quantum phase transition in quantum mixed spin chains
• Generalized dynamic scaling for quantum critical relaxation in imaginary time
• n-cluster models in a transverse magnetic field
• Estimating localizable entanglement from witnesses
• Entanglement between atomic condensates in an optical lattice: effects of interaction range
• Quasilocal entanglement across the Mott-Hubbard transition
• Progress towards a unified approach to entanglement distribution
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
• Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
• Phase transitions of the Dicke model: a unified perspective
• Experimental Measurement of Multi-dimensional Entanglement via Equivalent Symmetric Projection
• Anomalous behavior of the energy gap in the one-dimensional quantum XY model
• Global entanglement in a topological quantum phase transition
• Bound entanglement in quantum phase transitions
• Degenerate groundstates and multiple bifurcations in a two-dimensional q-state quantum Potts model
• Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field
• Swapping and permutation operators as entanglement witnesses for quantum Heisenberg spin-$s$ systems
• Massless Lifshitz Field Theory for Arbitrary $z$
• Entanglement Microscopy: Tomography and Entanglement Measures via Quantum Monte Carlo
• Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
• Ground-State Entanglement in a Coupled-Cavity Model
• Entanglement scaling at first order phase transitions
• Determination of ground state properties in quantum spin systems by single qubit unitary operations and entanglement excitation energies
• A complete characterization of the spectrum of the Kitaev model on spin ladders
• Quantum Discord in a spin-1/2 transverse XY Chain Following a Quench
• Effects of the interplay between interaction and disorder in bipartite entanglement
• The entanglement dynamics of interacting qubits embedded in a spin environment with Dzyaloshinsky-Moriya term
• Violation of Bell inequality in perfect translation invariant systems
• Analytic results on long distance entanglement mediated by gapped spin chains
• Entanglement at the boundary of spin chains near a quantum critical point and in systems with boundary critical points
• Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
• Universal behavior of the Shannon mutual information in non-integrable self-dual quantum chains
• Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Entangling qubit registers via many-body states of ultracold atoms
• Monogamy and ground-state entanglement in highly connected systems
• Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions
• Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
• Entanglement witnesses in the XY chain: Thermal equilibrium and postquench nonequilibrium states
• Characteristic length scales from entanglement dynamics in electric-field-driven tight-binding chains
• Quantum Critical Point and Entanglement in a Matrix Product Ground State
• Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions
• Many-body localization transition through pairwise correlations
• Fidelity susceptibility of one-dimensional models with twisted boundary conditions
• Ground-state phase diagram of the frustrated spin-1/2 two-leg honeycomb ladder
• Ground-state and spectral properties of an asymmetric Hubbard ladder
• The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction
• Topology-induced confined superfluidity in inhomogeneous arrays
• Many body physics from a quantum information perspective
• Quench Dynamics of Topological Maximally-Entangled States
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• A Geometrical Approach towards Entanglement
• Link representation of the entanglement entropies for all bipartitions
• Quantum entangling power of adiabatically connected hamiltonians
• Quantum Chernoff Bound metric for the XY model at finite temperature
• Spatial entanglement entropy in the ground state of the Lieb-Liniger model
• Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• The discrimination problem for two ground states or two thermal states of the quantum Ising model
• Markovian evolution of classical and quantum correlations in transverse-field XY model
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Mott-Anderson Metal-Insulator Transitions from Entanglement
• Distribution of quantum coherence and quantum phase transition in the Ising system
• Longitudinal magnetization dynamics in the quantum Ising ring: A Pfaffian method based on correspondence between momentum space and real space
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Scaling of macroscopic superpositions close to a quantum phase transition
• Reducing Computational Complexity of Quantum Correlations
• Thermal Fluctuations Enhance Order-from-Disorder of Quantum Correlations in Quenched Disordered Spin Models
• Revealing Quantum Advantage in a Quantum Network
• Efficient Test to Demonstrate Genuine Three Particle Nonlocality
• Density Matrix Spectra and Order Parameters in the 1D Extended Hubbard Model
• Persistence of entanglement in thermal states of spin systems
• Two-Point Entanglement Near a Quantum Phase Transition
• Quantum kinetic Ising models
• Entanglement in pure and thermal cluster states
• Nano-Thermodynamics: On the minimal length scale for the existence of temperature
• Entanglement and level crossings in frustrated ferromagnetic rings
• The two-body random spin ensemble and a new type of quantum phase transition
• Ground-State Entanglement in Interacting Bosonic Graphs
• Exact Solution of a Yang-Baxter Spin-1/2 Chain Model and Quantum Entanglement
• Entanglement in bosonic systems
• Nonclassicality and criticality in symmetry-protected magnetic phases
• Quantum uncertainty in critical systems with three spins interaction
• One-way deficit and quantum phase transitions in $XY$ model and extended Ising model
• Random matrices and quantum spin chains
• Scaling theory of entanglement entropy in confinements near quantum critical points
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation
• Entanglement entropy scaling of the XXZ chain
• Geometric Phase and Quantum Phase Transition : Two-Band Model
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Non universality of entanglement convertibility
• Optimal control of many-body quantum dynamics: chaos and complexity
• Two-spin subsystem entanglement in spin 1/2 rings with long range interactions
• Double dot chain as a macroscopic quantum bit
• Entanglement at the quantum phase transition in a harmonic lattice
• Quantifying Spontaneously Symmetry Breaking of Quantum Many-body Systems
• Compatibility conditions from multipartite entanglement measures
• Renormalization of trace distance and multipartite entanglement close to the quantum phase transitions of one- and two-dimensional spin-chain systems
• Constrained bounds on measures of entanglement
• Grüneisen parameter as an entanglement compass and the breakdown of the Hellmann-Feynman theorem
• Multipartite entanglement characterization of a quantum phase transition
• Robust non-ergodicity of ground state in the $\beta$ ensemble
• Ultrafast critical ground state preparation via bang-bang protocols
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition
• Fidelity and entanglement entropy for infinite-order phase transitions
• Entanglement-assisted local operations and classical communications conversion in the quantum critical systems
• Entanglement entropy in scalar field theory and ${\mathbb{Z}}_M$ gauge theory on Feynman diagrams
• Entanglement sum rules in exactly solvable models
• Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems
• Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivity
• Exact dimer phase with anisotropic interaction for one dimensional magnets
• Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• Entanglement and transport through correlated quantum dot
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Localized Entanglement in one-dimensional Anderson model
• Multipartite entanglement, quantum coherence, and quantum criticality in triangular and Sierpiński fractal lattices
• Randomized measurement protocols for lattice gauge theories
• Tripartite Entanglement Extraction from the Black Hole Vacuum
• Detecting high-dimensional entanglement in cold-atom quantum simulators
• Quantum Hysteresis in Coupled Light-Matter Systems
• Quench Dynamics of Entanglement in an Opened Anisotropic Spin-1/2 Heisenberg Chain
• Numerical estimation of critical parameters using the Bond entropy
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Exact one- and two-site reduced dynamics in a finite-size quantum Ising ring after a quench: A semi-analytical approach
• Bell-CHSH function approach to quantum phase transitions in matrix product systems
• Unifying Geometric Entanglement and Geometric Phase in a Quantum Phase Transition
• Scaling in driven dynamics starting in the vicinity of a quantum critical point
• Enhancement of entanglement in one-dimensional disordered systems
• Entanglement in spin-1/2 dimerized Heisenberg systems
• Geometric Phases and Critical Phenomena in a Chain of Interacting Spins
• Entanglement versus energy in quantum spin models
• Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices
• Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
• Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model
• Dynamics and Asymptotics of Correlations in a Many-Body Localized System
• Entanglement properties of quantum spin chains
• Universal quantum correlation close to quantum critical phenomena
• Survival of time-evolved correlations depends on whether quenching is across critical point in XY spin chain
• Patterns of Genuine Multipartite Entanglement in Frustrated Quantum Spin Systems
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Universal scaling of a classical impurity in the quantum Ising chain
• Emergent phases in a compass chain with multisite interactions
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
• Entanglement used to identify critical systems
• Partial entropy in finite-temperature phase transitions
• Entanglement control in one-dimensional $s=1/2$ random XY spin chain
• Entanglement and quantum phase transition in the asymmetric Hubbard chain: density-matrix renormalization group calculations
• Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in real-time domain
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Thermal entanglement of Hubbard dimers in the nonextensive statistics
• Edge State, Entanglement Entropy Spectra and Critical Hopping Coupling of Anisotropic Honeycomb Lattice
• Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
• Area Law Violations and Quantum Phase Transitions in Modified Motzkin Walk Spin Chains
• Environment induced dynamical quantum phase transitions in two-qubit Rabi model
• Shared Purity of Multipartite Quantum States
• Local entanglement and String Order Parameter in dimerized models
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Interacting bosons in generalized zig-zag and railroad-trestle models
• Fidelity, entanglement, and information complementarity relation
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Quantum Discord, Decoherence and Quantum Phase Transitions
• Anomalous criticality with bounded fluctuations and long-range frustration induced by broken time-reversal symmetry
• The entanglement spectrum and Rényi entropies of non-relativistic conformal fermions
• Sensitivity of the entanglement spectrum to boundary conditions as a characterization of the phase transition from delocalization to localization
• Emergent entanglement structures and self-similarity in quantum spin chains
• Quantum-enhanced gyroscopy with rotating anisotropic Bose--Einstein condensates
• Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice
• Phase transitions, entanglement and quantum noise interferometry in cold atoms
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• Selftrapping triggered by losses in cavity QED
• GHZ and W Entanglement Witnesses for the Non-interacting Fermi gas
• Spotlighting quantum phase transition in spin-1/2 Ising-Heisenberg diamond chain employing Measurement-Induced Nonlocality
• Entanglement of disjoint blocks in the one dimensional Spin 1 VBS
• Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
• Multi-distributed Entanglement in Finitely Correlated Chains
• The double Caldeira-Leggett model: Derivation and solutions of the master equations, reservoir-induced interactions and decoherence
• Decoherence and relaxation of topological states in extended quantum Ising models
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Unveiling quantum phase transitions from traps in variational quantum algorithms
• Entanglement generation in a system of two atomic quantum dots coupled to a pool of interacting bosons
• Pulsed Generation of Quantum Coherences and Non-classicality in Light-Matter Systems
• Path dependent scaling of geometric phase near a quantum multi-critical point
• Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
• Reduced fidelity approach for quantum phase transitions in spin-1/2 dimerized Heisenberg chains
• Thermalization through unitary evolution of pure states
• Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
• Identifying quantum phase transitions via geometric measures of nonclassicality
• Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Evidence of quantum phase transition in real-space vacuum entanglement of higher derivative scalar quantum field theories
• Many-body entanglement and topology from uncertainties and measurement-induced modes
• Semiclassical bifurcations and quantum trajectories: a case study of the open Bose-Hubbard dimer
• Mixed-state Entanglement for AdS Born-Infeld Theory
• Linking Phase Transitions and Quantum Entanglement at Arbitrary Temperature
• Multipartite entanglement in spin chains and the Hyperdeterminant
• Strong entanglement of spins inside a quantum domain wall
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Witnessing entanglement in phase space using inefficient detectors
• The mixed-state entanglement in holographic p-wave superconductor model
• The fourtangle in the transverse XY model
• Benford's law gives better scale exponents in phase transitions of quantum XY models
• Exact symmetry breaking ground states for quantum spin chains
• Entanglement generation resonances in XY chains
• Relative entropy in higher spin holography
• Quantum phase transition of two-mode Bose-Einstein condensates with an entanglement order parameter
• Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon
• Anomalous relaxation and multiply time scales in the quantum $XY$ model with boundary dissipation
• Cavity assisted generation of sustainable macroscopic entanglement of ultracold gases
• Discrete and generalized phase space techniques in critical quantum spin chains
• Momentum-space analysis of multipartite entanglement at quantum phase transitions
• Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions
• Generative Neural Samplers for the Quantum Heisenberg Chain
• Method for measuring the entanglement of formation for arbitrary-dimensional pure states
• Entanglement and dynamical phase transition in a spin-orbit-coupled Bose-Einstein condensate
• Entanglement and entropy production in coupled single-mode Bose-Einstein condensates
• Signature of special behaviours of $1/r^2$ interaction in the quantum entanglement entropy
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• Transverse Ising Model: Markovian evolution of classical and quantum correlations under decoherence
• Entanglement of electron pairs extracted from a many-body system
• Entanglement in Anderson Nanoclusters
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Shortcuts to adiabaticity in superconducting circuits for fast multi-partite state generation
• Entanglement oscillations in open Heisenberg chains
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Entanglement in the Bogoliubov vacuum
• Complexity and quenches in models with three and four spin interactions
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Upper bound for SL-invariant entanglement measures of mixed states
• Influence of intrinsic decoherence on tripartite entanglement and bipartite fidelity of polar molecules in pendular states
• Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models
• Even-odd entanglement in boson and spin systems
• SU(4) Kondo entanglement in double quantum dot devices
• Entanglement and the Interplay between Staggered Fields and Couplings
• Quantum phase transition without gap opening
• Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
• Finite entanglement properties in the matrix product states of the one-dimensional Hubbard model
• Phase boundary location with information-theoretic entropy in tensor renormalization group flows
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• Geometry-induced entanglement in a mass-imbalanced few-fermion system
• Condition on the Rényi Entanglement Entropy under Stochastic Local Manipulation
• Single-ion anisotropy effects on the critical behaviors of quantum entanglement and correlation in the spin-1 Heisenberg chain
• Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model
• Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
• Storing quantum states in bosonic dissipative networks
• Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dot
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Proposal of an experimentally accessible measure of many-fermion entanglement
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Qubit entanglement in multimagnon states
• Complex entanglement entropy for complex conformal field theory
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Finite temperature detection of quantum critical points: a comparative study
• Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids
• Compatibility Relations between the Reduced and Global Density Matrixes
• Decoherence of Bell states by local interactions with a suddenly quenched spin environment
• Quantum entanglement and Hawking temperature
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
• The Fate of Entanglement
• Multipartite entanglement in fermionic systems via a geometric measure
• Entanglement Creation and Storage in Two Qubits Coupling to an Anisotropic Heisenberg Spin Chain
• Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
• Quantum phases of spin-1/2 extended XY model in transverse magnetic field
• Statistical Mechanics of the Quantum K-Satisfiability problem
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Distinguishing Phases with Ansatz Wavefunctions
• Majorization relation in quantum critical systems
• Entanglement signatures of phase transition in higher-derivative quantum field theories
• Correlations and confinement of excitations in an asymmetric Hubbard ladder
• Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
• Topological phase and lattice structures in spin chain models
• Bipartite entanglement in the spin-1/2 Ising-Heisenberg planar lattice constituted of identical trigonal bipyramidal plaquettes
• Characterizing the width of entanglement
• Quantum Information Aspects on Bulk and Nano Interacting Fermi System: Spin-Space Density Matrix Approach
• Dimensionality induced entanglement in macroscopic dimer systems
• Cumulative measure of correlation for multipartite quantum states
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Entanglement of spin chains with general boundaries and of dissipative systems
• Entanglement entropy of a quantum unbinding transition and entropy of DNA
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Path integral approach to the full Dicke model with dipole-dipole interaction
• Dynamical scaling laws in the quantum $q$-state clock chain
• Probing $n$-Spin Correlations in Optical Lattices
• Symmetry classification of typical quantum entanglement
• Szego limit theorem for operators with discontinuous symbols and applications to entanglement entropy
• Configuration-Space Location of the Entanglement between Two Subsystems
• Fermionic logarithmic negativity in the Krawtchouk chain
• Total correlations as fully additive entanglement monotones
• Bipartite fidelity of critical dense polymers
• Finite temperature detection of quantum critical points via internal quantum teleportation
• Can multipartite entanglement be characterized by two-point connected correlation functions ?
• Information geometric analysis of long range topological superconductors
• Generation and distribution of atomic entanglement in coupled-cavity arrays
• Entanglement sharing in $E\otimes \epsilon$ Jahn-Teller model in the presence of a magnetic field
• Learning quantum phases via single-qubit disentanglement
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• Witnessing entanglement by proxy
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Entanglement and its facets in condensed matter systems
• Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
• Recognizing critical lines via entanglement in non-Hermitian systems
• Work statistics and Entanglement across the fermionic superfluid-insulator transition
• How creating one additional well can generate Bose-Einstein condensation
• Entanglement detection in quantum materials with competing orders
• Detecting entanglement from macroscopic measurements of the electric field and its fluctuations
• Entanglement quantifiers and phase transitions
• Surveying structural complexity in quantum many-body systems
• Quantum Phase Transitions and Heat Capacity in a two-atoms Bose-Hubbard Model
• Relation between phase space coverage and entanglement for spin-1/2 systems
• Role of quantum state texture in probing resource theories and quantum phase transition
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Local spreading of stabilizer Rényi entropy in a brickwork random Clifford circuit
• Phase transitions in the one-dimensional ionic Hubbard model
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Kibble-Zurek mechanism in quantum link model
• Genuine correlations in finite-size spin systems
• Block Spin Density Matrix of the Inhomogeneous AKLT Model
• Entanglement of Valence-Bond-Solid on an Arbitrary Graph
• Entanglement of Free Fermions and Bosons at Finite Temperature
• Quantum quench thermodynamics at high temperatures
• The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain
• The SU(N) Fermi-Hubbard Model on two sites: Bethe Ansatz solution and Quantum Phase Transition of the Lipkin-Meshkov-Glick Model in the large-N limit
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Bell-type correlation at quantum phase transitions in spin-1 chain
• On the logarithmic bipartite fidelity of the open XXZ spin chain at $\Delta =-1/2$
• Effective mapping of spin-1 chains onto integrable fermionic models. A study of string and Neel correlation functions
• Suppression of Quantum Correlations in a Clean-Disordered Atom-Nanophotonic Interface
• Entanglement generation and scaling from noisy quenches across a quantum critical point
• Inducing critical phenomena in spin chains through sparse alternating fields
• Entanglement, BEC, and superfluid-like behavior of two-mode photon systems
• Entanglement Energetics in the Ground State
• Efficient quantum information probes of non-equilibrium quantum criticality
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• The local detection method: Dynamical detection of quantum discord with local operations
• Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
• Dynamics of Entanglement and the Schmidt Gap in a Driven Light-Matter System
• Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
• Coherence as resource in scattering quantum walk search on complete graph
• Odd-even effect of quantum discord and quantum phase transitions in the S=1/2 spin ladder with ring exchange
• Probing Quantum Phase Transitions on a Spin Chain with a Double Quantum Dot
• Negative entanglement measure for bipartite separable mixed states
• Hahn echo and criticality in spin-chain systems
• Vacuum entanglement governs the bosonic character of magnons
• Upper bound on three tangles of reduced states of four-qubit pure states
• Quasiparticle mass enhancement as a measure of entanglement in the Kondo problem
• Phase diagram of quantum critical system via local convertibility of ground state
• Entanglement and area law with a fractal boundary in a topologically ordered phase
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
• Renyi information from entropic effects in one higher dimension
• Coherent states and the classical-quantum limit considered from the point of view of entanglement
• Geometrically induced singular behavior of entanglement
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• Entanglement of bosonic modes in symmetric graphs
• Entanglement entropy between virtual and real excitations in quantum electrodynamics
• Entanglement and area laws in weakly correlated gaussian states
• Response of macroscopic and microscopic dynamical quantifiers to the quantum critical region
• Bypassing state initialisation in perfect state transfer protocols on spin-chains
• Interconversion between block coherence and multipartite entanglement in many-body systems
• Genuine $k$-partite correlations and entanglement in the ground state of the Dicke model for interacting qubits
• Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
• von Neumann entropy and on-site localization for perpetually coupled qubits
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Ground State Instabilities and Entanglement in the Detuned Dicke Model
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Identifying Entanglement Phases with Bipartite Projected Ensembles
• Temporal Bell inequalities in non-relativistic many-body physics
• Revisiting the symmetry-resolved entanglement for non-invertible symmetries in $1+1$d conformal field theories
• Exact analysis of the spectral properties of the anisotropic two-bosons Rabi model
• Separable ellipsoids around multipartite states
• Chaos and bi-partite entanglement between Bose-Joephson junctions
• Quantum Fisher information as a witness of non-Markovianity and criticality in the spin-boson model
• Dynamics of entanglement creation between two spins coupled to a chain
• Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems
• A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model
• Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
• Coherence in quantum estimation
• Diatomic molecule as a quantum entanglement switch
• Entanglement and the Kondo effect in double quantum dots
• Landau-type sudden transitions of quantum correlations
• Distribution of entanglement Hamiltonian spectrum in free fermion models
• Decoherence of one-dimensional flying qubits due to their cross-talk and imperfections
• Competition of Direct and Indirect Sources of Thermal Entanglement in a spin star network
• Benford analysis of quantum critical phenomena: First digit provides high finite-size scaling exponent while first two and further are not much better
• Entanglement duality in spin-spin interactions
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality
• Multipartite quantum correlations in a two-mode Dicke model
• Concurrence for infinite-dimensional quantum systems
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Geometric Entanglement in Valance-Bond-Solid state
• Superfluid-Normal Quantum Phase Transitions in an Imbalanced Fermi Gas
• Projective approach to the entanglement entropy of 1-$d$ fermions
• The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
• Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies
• Quantum steering ellipsoids and quantum obesity in critical systems
• Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement
• Lower bound of multipartite concurrence based on sub-multipartite quantum systems
• Inverse Hamiltonian design of highly-entangled quantum systems
• Investigating Lipkin-Meshkov-Glick Model and Criticality-Enhanced Metrology in a Coherent Ising Machine
• Hidden quantum correlations in the ground states of quasiclassical spin systems
• Maximal Entanglement: Applications in Quantum Information and Particle Physics
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Zero-temperature study of a tetrameric spin-$1/2$ chain in a transverse magnetic field
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature
• Entanglement and symmetry effects in the transition to the Schroedinger cat regime
• A simple electronic ladder model harboring ${\mathbb{Z}}_4$ parafermions
• Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
• Fermionic Partial Transpose in the Overlap Matrix Framework for Entanglement Negativity
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Global quantum discord and von Neumann entropy in multipartite two-level atomic systems
• Exact diagonalization for spin-1/2 chains and the first order quantum phase transitions of the XXX chain in a uniform transverse field
• Decoherence of a quantum memory coupled to a collective spin bath
• Teleportation based detection of quantum critical points using small spin chains
• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• Directional Localization in Disordered 2D Tight-Binding Systems: Insights from Single Particle Entanglement Measures
• Characterizing the delocalized-localized Anderson phase transition based on the system's response to boundary conditions
• Quantum correlations in a cluster spin model with three-spin interactions
• Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
• Persistent spin current and entanglement in the anisotropic spin ring i
• Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench
• Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
• Four interacting spins: addition of angular momenta, spin-spin correlation functions, and entanglement
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• Quantum Separability of Thermal Spin One Boson Systems
• Multiparty Entanglement Microscopy of Quantum Ising models in 1d, 2d and 3d
• Designing lattice structures with maximal nearest-neighbor entanglement
• Quantum entanglement of space domains occupied by interacting electrons
• Equally entangled multiqubit states
• Entanglement distribution in fermion model with long-range interaction
• Entanglement and Quantum Phase Transitions via Adiabatic Quantum Computation
• Single-particle Entanglement of the Entanglement Hamiltonian Eigen-modes
• Geometrical picture of the electron-electron correlation at the large-D limit
• Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian
• Matrix-product entanglement characterizing the optimality of state-preparation quantum circuits
• Volume-law entanglement entropy of typical pure quantum states
• Entanglement dynamics in minimal Kitaev chains
• Entanglement entropy as a probe of topological phase transitions
• Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
• Resource complexity of Symmetry Protected Topological phases
• Local quantum Fisher information and one-way quantum deficit in spin-$\frac{1}{2}$ $XX$ Heisenberg chain with three-spin interaction
• Collective Quantum Batteries and Charger-Battery Setup in Open Quantum Systems: Impact of Inter-Qubit Interactions, Dissipation, and Quantum Criticality
• Shared purity and concurrence of a mixture of ground and low-lying excited states as indicators of quantum phase transitions
• Entanglement signatures of a percolating quantum system
• Generation of concurrence in a generalized central spin model with a three-spin interacting environment
• Entanglement and its applications in systems with many degrees of freedom
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Qubit frugal entanglement determination with the deep multi-scale entanglement renormalization ansatz
• Quantum Phase Recognition via Quantum Attention Mechanism
• Non-commutative Index of Measurement-only Entanglement Phase Transition
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Scaling of quantum correlation and monogamy relation near a quantum phase transitions in two-dimensional XY spin system
• Characterizing quantum phase transition by teleportation
• Few strongly interacting fermions of different mass driven in the vicinity of a critical point
• Measuring entanglement without local addressing in quantum many-body simulators via spiral quantum state tomography
• Entanglement in finite quantum systems under twisted boundary conditions
• Emergent geometry from entanglement structure
• Toward Witnessing Molecular Exciton Entanglement from Spectroscopy
• Superradiant Quantum Phase Transition in Open Systems: System-Bath Interaction at the Critical Point
• Fully multi-qubit entangled states
• Quantum Information metric for time-dependent quantum systems and higher-order corrections
• Synchronizing two superconducting qubits through a dissipating resonator
• Volume-law entanglement fragmentation of quasiparticles
• Multipartite Entanglement in Crossing the Quantum Critical Point
• Excitation and Entanglement Transfer Near Quantum Critical Points
• A new family of matrix product states with Dzyaloshinski-Moriya interactions
• $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals
• Entanglement creation in cold molecular gases using strong laser pulses
• Non-local spin entanglement in a fermionic chain
• Entanglement of Hard-Core Bosons in Bipartite Lattices
• Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions
• Multipartite entanglement in quantum phase transitions
• Electron-nuclear entanglement in the cold lithium gas
• Probing non-Gaussian correlations through entanglement generation in a many-body quantum system
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair