Fidelity, dynamic structure factor, and susceptibility in critical phenomena

Abstract

Motivated by the growing importance of fidelity in quantum critical phenomena, we establish a general relation between fidelity and structure factor of the driving term in a Hamiltonian through a newly introduced concept: fidelity susceptibility. Our discovery, as shown by some examples, facilitates the evaluation of fidelity in terms of susceptibility using well developed techniques such as density matrix renormalization group for the ground state, or Monte Carlo simulations for the states in thermal equilibrium.

4 pages, 2 figures, final version accepted by PRE

References in corpus (6)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Ground state overlap and quantum phase transitions
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Mixed-state fidelity and quantum criticality at finite temperature
• Quantum phase transitions and quantum fidelity in free fermion graphs

Cited by in corpus (373)

• Quantum spin squeezing
• Quantum Fisher information matrix and multiparameter estimation
• Fidelity approach to quantum phase transitions
• Quantum enhanced measurements without entanglement
• Measuring multipartite entanglement via dynamic susceptibilities
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Differentiable Learning of Quantum Circuit Born Machine
• Quench dynamics near a quantum critical point
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Quantum Critical Scaling of Fidelity Susceptibility
• Quantum phases of Rydberg atoms on a kagome lattice
• Geometry of quantum phase transitions
• Dynamic framework for criticality-enhanced quantum sensing
• Ground state fidelity from tensor network representations
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Classifying and measuring the geometry of the quantum ground state manifold
• Ground-state fidelity in one-dimensional gapless model
• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Interaction effects and quantum phase transitions in topological insulators
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
• At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
• Extracting the quantum metric tensor through periodic driving
• Quantum fidelity in the thermodynamic limit
• Abelian and Non-Abelian Quantum Geometric Tensor
• Bures metric over thermal state manifolds and quantum criticality
• Multipartite entanglement in topological quantum phases
• Bayesian parameter inference from continuously monitored quantum systems
• Entanglement renormalization and gauge symmetry
• Fidelity analysis of topological quantum phase transitions
• Scaling Properties of Fidelity in Spin-one Anisotropic Model
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Dipolar Molecules in Optical Lattices
• Ultracold bosons with short-range interaction in regular optical lattices
• Direct observation of quantum criticality in Ising spin chains
• Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model
• Coherent and dissipative dynamics at quantum phase transitions
• Quantum mechanical and information theoretic view on classical glass transitions
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Quench dynamics near a quantum critical point: application to the sine-Gordon model
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• Phases of correlated spinless fermions on the honeycomb lattice
• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach
• Dissipation driven quantum phase transitions and symmetry breaking
• Fidelity Between Partial States as Signature of Quantum Phase Transitions
• Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
• Large-N scaling behavior of the ground-state energy and fidelity in the Dicke Model
• Exact many-body scars and their stability in constrained quantum chains
• Quantum Fidelity and Thermal Phase Transitions
• Fidelity approach to the disordered quantum XY model
• Unsupervised identification of topological order using predictive models
• Fidelity and criticality of quantum Ising chain with long-range interactions
• Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Fluctuations, uncertainty relations, and the geometry of quantum state manifolds
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Complexity change under conformal transformations in AdS${}_3$/CFT${}_2$
• Hamiltonian Learning for Quantum Error Correction
• Operator fidelity susceptibility: an indicator of quantum criticality
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Finite temperature fidelity susceptibility for one-dimensional quantum systems
• Scaling dimension of fidelity susceptibility in quantum phase transitions
• The fidelity approach to the Hubbard model
• Measurement of Topological Order based on Metric-Curvature Correspondence
• Fidelity in topological quantum phases of matter
• Characterization of topological phase transitions via topological properties of transition points
• Fidelity susceptibility of the quantum Ising model in the transverse field: The exact solution
• Fidelity Susceptibility in One-dimensional Disordered Lattice Models
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
• Fidelity susceptibility in the two-dimensional transverse field Ising and XXZ models
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• The Euler Number of Bloch States Manifold and the Quantum Phases in Gapped Fermionic Systems
• Field-induced phase transitions of repulsive spin-1 bosons in optical lattices
• Operator fidelity susceptibility, decoherence and quantum criticality
• Oscillating fidelity susceptibility near a quantum multicritical point
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Fidelity approach to Gaussian transitions
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
• Critical quantum metrology assisted by real-time feedback control
• Dynamical quantum phase transition from a critical quantum quench
• Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
• Steady-state Hall response and quantum geometry of driven-dissipative lattices
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Reduced fidelity in topological quantum phase transitions
• Geometric phases and quantum phase transitions
• Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied
• Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
• Quantum Criticality in a Bosonic Josephson Junction
• Ground-state fidelity at first-order quantum transitions
• Macroscopic Distinguishability Between Quantum States Defining Different Phases of Matter: Fidelity and the Uhlmann Geometric Phase
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• Fidelity susceptibility in Gaussian Random Ensembles
• Universal equilibrium distribution after a small quantum quench
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Finite-Size Geometric Entanglement from Tensor Network Algorithms
• Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
• Generalized fidelity susceptibility at phase transitions
• Fidelity Susceptibility in the Quantum Rabi Model
• Quantum instability and edge entanglement in a quasi-long-range order
• Energy level dynamics across the many-body localization transition
• Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Criticality-enhanced quantum sensing in ferromagnetic Bose-Einstein condensates: role of readout measurement and detection noise
• Magnetic properties of nanoscale compass-Heisenberg planar clusters
• Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
• Resonant energy scales and local observables in the many-body localised phase
• Scaling of the fidelity susceptibility in a disordered quantum spin chain
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Spectral function and fidelity susceptibility in quantum critical phenomena
• Fidelity susceptibility near topological phase transitions in quantum walks
• Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
• Ground-state fidelity of Luttinger liquids: A wave functional approach
• Spontaneous symmetry breaking and bifurcations in ground state fidelity for quantum lattice systems
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Fidelity as a probe for a deconfined quantum critical point
• Signature of nonequilibrium quantum phase transition in the long time average of Loschmidt echo
• Stark localization as a resource for weak-field sensing with super-Heisenberg precision
• Quantum coherence and the localization transition
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
• Helical multiferroics for electric field controlled quantum information processing
• Achieving sub-shot-noise sensing at finite temperatures
• Quantum phase transitions in spin-1 XXZ chains with rhombic single-ion anisotropy
• Fidelity susceptibility of the anisotropic $XY$ model: The exact solution
• Quantum phase transitions in coupled two-level atoms in a single-mode cavity
• Localization Driven Quantum Sensing
• Phase transitions in the ${\mathbb{Z}}_p$ and U(1) clock models
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Strings of ultracold molecules in a synthetic dimension
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Fidelity and superconductivity in two-dimensional t-J models
• Quantum metrology in the noisy intermediate-scale quantum era
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Determining the Continuous Family of Quantum Fisher Information from Linear Response Theory
• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• Edge insulating topological phases in a two-dimensional long-range superconductor
• Interplay of interactions, disorder and topology in the Haldane-Hubbard model
• General Quantum Fidelity Susceptibilities for the J1-J2 Chain
• Kitaev honeycomb tensor networks: exact unitary circuits and applications
• Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing
• Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement
• A Fidelity Study of the Superconducting Phase Diagram in the 2D Single-band Hubbard Model
• Universal sub-leading terms in ground state fidelity
• Entanglements and correlations of one-dimensional quantum spin-1/2 chain with anisotropic power-law long range interactions
• Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
• Entanglement modes and topological phase transitions in superconductors
• Universal fidelity near quantum and topological phase transitions in finite 1D systems
• From Classical to Quantum Information Geometry: A Guide for Physicists
• Quantum Renormalization Group for Ground-State Fidelity
• Dynamical quantum phase transitions in Weyl semimetals
• Sensitivity of (multi)fractal eigenstates to a perturbation of the Hamiltonian
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Hamiltonians and gauge-invariant Hilbert space for lattice Yang-Mills-like theories with finite gauge group
• Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Polar bosons in one-dimensional disordered optical lattices
• Novel Approach to Unveil Quantum Phase Transitions Using Fidelity Map
• Reduced fidelity in Kitaev honeycomb model
• Thermal states of the Kitaev honeycomb model: a Bures metric analysis
• Quantum criticality of the Rabi-Stark model at finite frequency ratios
• Weak Ergodicity Breaking in Non-Hermitian Many-body Systems
• Ground-state fidelity in the BCS-BEC crossover
• Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau
• Critical quantum thermometry and its feasibility in spin systems
• Fluctuation-dissipation theorem for non-equilibrium quantum systems
• Global phase diagram of two-component Bose gases in antiparallel magnetic fields
• Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
• Geometry along Evolution of Mixed Quantum States
• Parity breaking and scaling behavior in light-matter interaction
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Extracting non-Abelian quantum metric tensor and its related Chern numbers
• Bilayer Hubbard model: Analysis based on the fermionic sign problem
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Fidelity Study of Superconductivity in Extended Hubbard Models
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• Density-functional fidelity approach to quantum phase transitions
• Fidelity susceptibility and quantum adiabatic condition in thermodynamic limits
• Ferromagnetically coupled dimers on the distorted Shastry-Sutherland lattice: Application to (CuCl)LaNb2O7
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
• Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Global quantum discord and quantum phase transition in XY model
• Partial-state fidelity and quantum phase transitions induced by continuous level crossing
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Criticality in the Bose-Hubbard model with three-body repulsion
• Bound entanglement in quantum phase transitions
• Identifying non-Hermitian critical points with quantum metric
• Local geometry and quantum geometric tensor of mixed states
• Ground-state phases of rung-alternated spin-1/2 Heisenberg ladder
• Long-range interacting Stark many-body probes with Super-Heisenberg precision
• Fidelity spectrum and phase transitions of quantum systems
• Quantum Information Approach to Rotating Bose-Einstein Condensate
• Quantum entanglement in the one-dimensional spin-orbital SU(2)$\otimes XXZ$ model
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Detecting phase transitions and crossovers in Hubbard models using the fidelity susceptibility
• Exponentially-enhanced quantum sensing with many-body phase transitions
• Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility
• Fidelity susceptibility of one-dimensional models with twisted boundary conditions
• Dimerized ground states in spin-S frustrated systems
• A study of cooperative breathing-mode in molecular chains
• Quantum Phase Diagrams of Matter-Field Hamiltonians I: Fidelity, Bures Distance, and Entanglement
• Fidelity susceptibility and topological phase transition of a two dimensional spin-orbit coupled Fermi superfluid
• Berry phase and fidelity susceptibility of the three-qubit Lipkin-Meshkov-Glick ground state
• Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Nonclassicality and criticality in symmetry-protected magnetic phases
• Multipartite entanglement and quantum Fisher information in conformal field theories
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Universal shift of the fidelity susceptibility peak away from the critical point of the Berezinskii-Kosterlitz-Thouless quantum phase transition
• Detection of avoided crossings by fidelity
• Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model
• Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
• Site-wise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
• Quantum phase transition in XXZ central spin model
• Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
• Fidelity and entanglement entropy for infinite-order phase transitions
• Operator Quantum Geometric Tensor and Quantum Phase Transitions
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• Entanglement-assisted local operations and classical communications conversion in the quantum critical systems
• Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Interferometric geometry from symmetry-broken Uhlmann gauge group with applications to topological phase transitions
• Cluster expansion for ground states of local Hamiltonians
• Entanglement Driven Phase Transitions in Spin-Orbital Models
• Identification of topological phases using classically-optimized variational quantum eigensolver
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
• Semiclassical Approach to Survival Probability at Quantum Phase Transitions
• Emergent phases in a compass chain with multisite interactions
• Quantum geometrical properties of topological materials
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Reduced basis surrogates for quantum spin systems based on tensor networks
• Applications of fidelity measures to complex quantum systems
• Fidelity in topological superconductors with end Majorana fermions
• Fidelity susceptibility and geometric phase in critical phenomenon
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Dynamical fidelity susceptibility of decoherence-free subspaces
• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
• Topological quasi-one-dimensional state of interacting spinless electrons
• Quantum chaos and level dynamics
• Ground-State Fidelity and Kosterlitz-Thouless Phase Transition for Spin 1/2 Heisenberg Chain with Next-to-the-Nearest-Neighbor Interaction
• Critical quantum metrology in a stabilized two-photon Rabi model
• Bose-Fermi Anderson Model with SU(2) Symmetry: Continuous-Time Quantum Monte Carlo Study
• Measure of the density of quantum states in information geometry and its application in the quantum multi-parameter estimation
• Linking Phase Transitions and Quantum Entanglement at Arbitrary Temperature
• Multi-mode Bose-Hubbard model for quantum dipolar gases in confined geometries
• Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
• Sj$\ddot{\text{o}}$qvist quantum geometric tensor of finite-temperature mixed states
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• Bifurcation in ground-state fidelity for a one-dimensional spin model with competing two-spin and three-spin interactions
• Path dependent scaling of geometric phase near a quantum multi-critical point
• Detecting quantum critical points at finite temperature via quantum teleportation
• Probing the superfluid-insulator phase transition by a non-Hermitian external field
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Holographic encoding of universality in corner spectra
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Entanglement susceptibility: Area laws and beyond
• Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility
• Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-$\frac{1}{2}$ chain
• Charge excitations across a superconductor-insulator transition
• Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
• $\mu PT$ statistical ensemble: systems with fluctuating energy, particle number, and volume
• Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy
• Phase diagram of the spin-1/2 Heisenberg alternating chain in a magnetic field
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
• Sensitivity of spin structures of small spin-1 condensates against a magnetic field studied beyond the mean field theory
• Probing chaos in the spherical p-spin glass model
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Time-Optimal Quantum Driving by Variational Circuit Learning
• Relations between quantum metrology and criticality in general su(1, 1) systems
• Adiabatic time evolution of highly excited states
• Non-linear response to electric field in extended Hubbard models
• Quantum phase transition without gap opening
• Imaginary-field-driven phase transition for the $2$D Ising antiferromagnet: A fidelity-susceptibility approach
• Steady-state susceptibility in continuous phase transitions of dissipative systems
• Spin-echo and quantum versus classical critical fluctuations in TmVO${}_4$
• Quantum criticality driven by the cavity coupling in Rabi-dimer model
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Z2 topological order and first-order quantum phase transitions in systems with combinatorial gauge symmetry
• Quantum computing fidelity susceptibility using automatic differentiation
• Dynamical scaling laws in the quantum $q$-state clock chain
• Lower and upper bounds on the fidelity susceptibility
• Capturing magic angles in twisted bilayer graphene from information theory markers
• Orbital elementary excitations as probes of entanglement and quantum phase transitions of collective spins in an entangled Bose-Einstein condensate
• Elementary modes of excitation caused by the quadratic Zeeman term and the sensitivity of spin structures of small spin-2 condensates against the magnetic field
• Critical quantum metrology robust against dissipation and non-adiabaticity
• A universal black-box quantum Monte Carlo approach to quantum phase transitions
• Quantum phase transition in an atom-molecule conversion system with atomic hopping
• Phase diagram for the Harper model of the honeycomb lattice
• Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems
• Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Hamming Distance and the onset of quantum criticality
• The transition to chaos of coupled oscillators: An operator fidelity susceptibility study
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Mixed-state fidelity susceptibility through iterated commutator series expansion
• Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
• Effects of the Hubbard interaction on the quantum metric
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Quantum geometrical effects in non-Hermitian systems
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Geometry, quantum correlations, and phase transitions in the $\Lambda$-atomic configuration
• Dynamical quantum phase transition of a two-component Bose-Einstein condensate in an optical lattice
• Geometrical properties of the ground state manifold in the spin boson model
• Information geometry and synchronization phase transition in Kuramoto model
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Topological order-by-disorder in orbitally degenerate dipolar bosons in zig-zag lattice
• Berry Phase and Fidelity in the Dicke model with $A^2$ term
• Nonadiabatic transition at a band-touching point
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
• Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
• Monotone Riemannian metrics and dynamic structure factor in condensed matter physics
• Renyi divergences, Bures geometry and quantum statistical thermodynamics
• Quantum Information Approach to Bose-Einstein Condensate in a Tilted Double-Well System
• Fidelity zeros and Lee-Yang theory of quantum phase transitions
• Precision magnetometry exploiting excited state quantum phase transitions
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Super Mario's prison break -- a proposal of object-intelligent-feedback-based classical Zeno and anti-Zeno effects
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Phase-sensitive nonclassical properties in quantum metrology with a displaced squeezed vacuum state
• Investigating Dirty Crossover through Fidelity Susceptibility and Density of States
• Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model
• Spin-polarized scanning tunneling microscopy measurement scheme for determining the quantum geometric tensor
• Quantum Information metric for time-dependent quantum systems and higher-order corrections
• The toric code under antiferromagnetic isotropic Heisenberg interactions
• Sensitivity Bounds of Multiparameter Metrology at Thermal Equilibrium
• Tunable Hilbert space fragmentation and extended critical regime
• Quantum criticality and factorization in a constrained Rydberg spin chain
• Arithmetic Tuning of Dynamical Critical Exponents in Quasiperiodic Localization Transitions
• Fidelity and quantum geometry approach to Dirac exceptional points in diamond nitrogen-vacancy centers
• Quantum Geometry of Finite XY Chains: A Comparison of Neveu-Schwarz and Ramond Sectors
• Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms
• Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• The quantum Ising model: finite sums and hyperbolic functions
• Adiabatic continuity and broken symmetry in many-electron systems: a variational perspective
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice