Entanglement and quantum phase transition in the extended Hubbard model

Abstract

We study quantum entanglement in one-dimensional correlated fermionic system. Our results show, for the first time, that entanglement can be used to identify quantum phase transitions in fermionic systems.

5 pages, 4 figures

References in corpus (12)

• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Entanglement in the Quantum Heisenberg XY model
• Quantum Entanglement in Fermionic Lattices
• Quantum Correlations in Two-Fermion Systems
• Entangled Rings
• Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots
• Entanglement, quantum phase transition and scaling in XXZ chain
• Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
• Fermionic entanglement in itinerant systems
• Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking

Cited by in corpus (219)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Fidelity approach to quantum phase transitions
• Classical Correlation and Quantum Discord in Critical Systems
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Non-standard Hubbard models in optical lattices: a review
• Quantum Entanglement in Neural Network States
• New Trends in Density Matrix Renormalization
• Quantum and classical thermal correlations in the XY spin-1/2 chain
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Essential entanglement for atomic and molecular physics
• Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Two-site entropy and quantum phase transitions in low-dimensional models
• Dzyaloshinskii-Moriya Interaction and Anisotropy effects on the Entanglement of Heisenberg Model
• Quantum phase transitions and quantum fidelity in free fermion graphs
• Entanglement and Quantum Phase Transition Revisited
• Global entanglement and quantum criticality in spin chains
• Efficient description of strongly correlated electrons with mean-field cost
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• The renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
• Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems
• Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
• Linking entanglement and quantum phase transitions via density functional theory
• Renormalization of concurrence: the application of quantum renormalization group to the quantum information systems
• Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
• Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well
• Floquet dynamical phase transition and entanglement spectrum
• Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• Long-range quantum discord in critical spin systems
• Quantum Fidelity and Thermal Phase Transitions
• Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases
• Universal role of correlation entropy in critical phenomena
• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
• Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model
• Entanglement in spatially inhomogeneous many-fermion systems
• Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Local Entanglement and quantum phase transition in spin models
• Quantum discord and classical correlations in the bond-charge Hubbard model: quantum phase transitions, ODLRO and violation of the monogamy property for discord
• Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model
• Mott transition and dimerization in the one-dimensional SU$(n)$ Hubbard model
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Entanglement in an SU(n) Valence-Bond-Solid State
• Quantum correlations in the collective spin systems
• Correlation paradox of the dissociation limit: A quantum information perspective
• Entanglement induced in spin-1/2 particles by a spin chain near its critical points
• Single-site entanglement at superconductor-insulator transition in the Hirsch model
• Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
• Entanglement in extended Hubbard models and quantum phase transitions
• Geometric phases and quantum phase transitions
• Mott-Superfluid Transition for Spin-Orbit Coupled Bosons in One-Dimensional Optical Lattices
• Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model
• Quantum information analysis of the phase diagram of the half-filled extended Hubbard model
• Local entanglement and quantum phase transition in 1D transverse field Ising model
• Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking
• Dynamical topological quantum phase transitions in nonintegrable models
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
• Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain
• Equilibrium entanglement vanishes at finite temperature
• Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model
• Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• The Hubbard model as an approximation to the entanglement in nanostructures
• Exploring Quantum Phase Transitions with a Novel Sublattice Entanglement Scenario
• Reduced density matrix and order parameters of a topological insulator
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• Quantum State Transfer Characterized by Mode Entanglement
• Global Quantum Correlation in the Ising model
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Von Neumann entropy and localization-delocalization transition of electron states in quantum small-world networks
• Spatially nonuniform phases in the one-dimensional SU(n) Hubbard model for commensurate fillings
• Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
• Entanglement properties in (1/2,1) mixed-spin Heisenberg systems
• Two-component quantum Hall effects in topological flat bands
• Entanglement properties and quantum phases for a fermionic disordered one dimensional wire with attractive interactions
• Topological quantum phase transition in an extended Kitaev spin model
• The ground state of a mixture of two species of fermionic atoms in 1D optical lattice
• Engineering First-Order Quantum Phase Transitions for Weak Signal Detection
• Entanglement in Valence-Bond-Solid States
• Unified phase diagram of models exhibiting neutral-ionic transition
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
• Topological marker approach to an interacting Su-Schrieffer-Heeger model
• Entanglement from density measurements: analytical density-functional for the entanglement of strongly correlated fermions
• Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
• Entanglement modes and topological phase transitions in superconductors
• Feasibility of approximating spatial and local entanglement in long-range interacting systems using the extended Hubbard model
• Entanglement and local extremes at an infinite-order quantum phase transition
• Entanglement in a Quantum Mixed-Spin Chain
• Non-equilibrium quantum phase transition via entanglement decoherence dynamics
• Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model
• Entanglement Entropy in an Antiferromagnetic Heisenberg Spin Chain with Boundary Impurities
• 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
• Quantum Entanglement and fixed point Hopf bifurcation
• Localization-delocalization transitions in a two-dimensional quantum percolation model: von Neumann entropy studies
• Pseudoparticle approach to 1D integrable quantum models
• Two Mode Photon Bunching Effect as Witness of Quantum Criticality in Circuit QED
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• How much entanglement can be created in a closed system?
• Density-functional fidelity approach to quantum phase transitions
• Correlation-induced coherence and its use in detecting quantum phase transitions
• Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model
• Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
• Local Entropies across the Mott Transition in an Exactly Solvable Model
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
• Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain
• Thermal entanglement witness for materials with variable local spin lengths
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
• Entanglement of skeletal regions
• Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
• Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor
• Extracting electronic many-body correlations from local measurements with artificial neural networks
• Can we always get the entanglement entropy from the Kadanoff-Baym equations? The case of the T-matrix approximation
• Characterization of a correlated topological Kondo insulator in one dimension
• Universal and nonuniversal contributions to block-block entanglement in many-fermion systems
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Density Matrix Spectra and Order Parameters in the 1D Extended Hubbard Model
• Two-Point Entanglement Near a Quantum Phase Transition
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
• Quantifying Quantum Correlations in Fermionic Systems using Witness Operators
• Rich phase diagram of quantum phases in the anisotropic subohmic spin-boson model
• Fidelity and entanglement entropy for infinite-order phase transitions
• Machine Learning Phase Diagram in the Half-filled One-dimensional Extended Hubbard Model
• End-to-end entanglement in Bose-Hubbard chains
• Entanglement and transport through correlated quantum dot
• Thermal entanglement of Hubbard dimers in the nonextensive statistics
• Absence of logarithmic divergence of the entanglement entropies at the phase transitions of a 2D classical hard rod model
• Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Emergent phases in a compass chain with multisite interactions
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Partial entropy in finite-temperature phase transitions
• Entanglement and quantum phase transition in the asymmetric Hubbard chain: density-matrix renormalization group calculations
• von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems
• Universal quantum correlation close to quantum critical phenomena
• An entropy perspective on the thermal crossover in a fermionic Hubbard chain
• Entanglement in disordered superfluids: the impact of density, interaction and harmonic confinement on the Superconductor-Insulator transition
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• Sensitivity of the entanglement spectrum to boundary conditions as a characterization of the phase transition from delocalization to localization
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches
• Reduced fidelity approach for quantum phase transitions in spin-1/2 dimerized Heisenberg chains
• Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
• Hierarchy of double-time correlations
• Engineering antiferromagnetic Heisenberg spin chains for maximizing of the groundstate entanglement
• Pairwise quantum correlations in four-level quantum dot systems
• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Entanglement and dynamical phase transition in a spin-orbit-coupled Bose-Einstein condensate
• Shortcuts to adiabaticity in superconducting circuits for fast multi-partite state generation
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Klein tunneling of two correlated bosons
• Local Entanglement Entropy at the Mott Metal-Insulator Transition in Infinite Dimensions
• Quantum phase transition of two-mode Bose-Einstein condensates with an entanglement order parameter
• Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
• Entanglement in Anderson Nanoclusters
• Momentum-space analysis of multipartite entanglement at quantum phase transitions
• Establishing a microscopic model for nonfullerene organic solar cells: Self-accumulation effect of charges
• SU(4) Kondo entanglement in double quantum dot devices
• Competition between Hund's coupling and Kondo effect in a one-dimensional extended periodic Anderson model
• Long range entanglement in quantum dot systems under the Fermi-Hubbard approach
• Assembly of 2N entangled fermions into multipartite composite bosons
• Topological phase and lattice structures in spin chain models
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Wigner crystal versus Fermionization for one-dimensional Hubbard models with and without long-range interactions
• Phase transitions in the one-dimensional ionic Hubbard model
• Block Spin Density Matrix of the Inhomogeneous AKLT Model
• Entanglement of Valence-Bond-Solid on an Arbitrary Graph
• Cluster Mean-Field Signature of Entanglement Entropy in Bosonic Superfluid-Insulator Transitions
• Correlation in fermion or boson systems as the minimum of entropy relative to all free states
• Quantum phase transition in an atom-molecule conversion system with atomic hopping
• Spectral microscopic mechanisms and quantum phase transitions in a 1D correlated problem
• Lattice models with long-range and number-non-conserving interactions with Zeeman excitations of ultracold magnetic atoms
• Entanglement in the pseudogap regime of cuprate superconductors
• Quasiparticle mass enhancement as a measure of entanglement in the Kondo problem
• Odd-even effect of quantum discord and quantum phase transitions in the S=1/2 spin ladder with ring exchange
• Reduced density matrix and entanglement entropy of permutationally invariant quantum many-body systems
• Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
• Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
• A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model
• Nonfreeness and related functionals for measuring correlation in many-fermion states
• Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
• Topological quantum phase transitions of anisotropic AFM Kitaev model driven by magnetic field
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
• Chaos and bi-partite entanglement between Bose-Joephson junctions
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Quantum steering ellipsoids and quantum obesity in critical systems
• von Neumann entropy and on-site localization for perpetually coupled qubits
• Diatomic molecule as a quantum entanglement switch
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• Classifying fermionic states via many-body correlation measures
• Mott metal-insulator transition in a modified periodic Anderson model: Insights from entanglement entropy and role of short-range spatial correlations
• Exact diagonalization for spin-1/2 chains and the first order quantum phase transitions of the XXX chain in a uniform transverse field
• Error analysis of the density-matrix renormalization group algorithm for a chain of harmonic oscillators
• Energetical self-organization of a few strongly interacting particles
• Quantum State Reconstruction of Many Body System Based on Complete Set of Quantum Correlations Reduced by Symmetry
• Phase diagram of the SU$(3)$ Fermi-Hubbard model with next-neighbor interactions
• Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions
• Generation of concurrence in a generalized central spin model with a three-spin interacting environment
• Quantum Effects In Low Temperature Bosonic Systems
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• A simple model for magnetism in itinerant electron systems
• Non-local spin entanglement in a fermionic chain
• Half-Chain Entanglement Entropy in the One-Dimensional Spinless Fermion Model
• Toward Witnessing Molecular Exciton Entanglement from Spectroscopy
• Quantitative determination of the orbital-selective Mott transition and quantum entanglement in the orbital-selective Mott phase
• Entanglement in finite quantum systems under twisted boundary conditions
• Exploring Entanglement Spectrum and Phase Diagram in multi-electron Quantum Dot Chains
• Transfer learning of many-body electronic correlation entropy from local measurements