Fidelity approach to quantum phase transitions

Abstract

We review briefly the quantum fidelity approach to quantum phase transitions in a pedagogical manner. We try to relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which might provide an alternative paradigm for understanding quantum critical phenomena. The definition of the fidelity and the scaling behavior of its leading term, as well as their explicit applications to the one-dimensional transverse-field Ising model and the Lipkin-Meshkov-Glick model, are introduced at the graduate-student level. In addition, we survey also other types of fidelity approach, such as the fidelity per site, reduced fidelity, thermal-state fidelity, operator fidelity, etc; as well as relevant works on the fidelity approach to quantum phase transitions occurring in various many-body systems.

41 pages, 31 figures. We apologize if we omit acknowledging your relevant works. Do tell. An updated version with clearer figures can be found at: http://www.phy.cuhk.edu.hk/~sjgu/fidelitynote.pdf

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• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
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• Quantum Critical Scaling of Fidelity Susceptibility
• Entanglement entropy in the Lipkin-Meshkov-Glick model
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• Majorana Fermions, Exact Mappings between Classical and Topological Orders
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• Linking entanglement and quantum phase transitions via density functional theory
• Detection of quantum critical points by a probe qubit
• Entanglement and correlation in anisotropic quantum spin systems
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• An alternative quantum fidelity for mixed states of qudits
• Scaling Properties of Fidelity in Spin-one Anisotropic Model
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• The ground state entanglement in the $XXZ$ model
• Direct observation of quantum criticality in Ising spin chains
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• Universal decoherence induced by an environmental quantum phase transition
• Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices
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• First order phase transition in the anisotropic quantum orbital compass model
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• Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
• Spin-1/2 fermions on spin-dependent optical lattices
• Ground state fidelity and quantum phase transitions in free Fermi systems
• Creation and Manipulation of Anyons in the Kitaev Model
• Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
• Large-N scaling behavior of the ground-state energy and fidelity in the Dicke Model
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• Fidelity and Purity Decay in Weakly Coupled Composite Systems
• Quantum Fidelity and Thermal Phase Transitions
• Thermodynamics and excitations of the one-dimensional Hubbard model
• Fidelity approach to the disordered quantum XY model
• Ellipses of Constant Entropy in the XY Spin Chain
• Operator fidelity susceptibility: an indicator of quantum criticality
• Scaling dimension of fidelity susceptibility in quantum phase transitions
• The fidelity approach to the Hubbard model
• Fidelity of a Bose-Einstein Condensate
• Fidelity in topological quantum phases of matter
• The Wavefunction of an Anyon
• Fully-connected network of superconducting qubits in a cavity
• Fidelity susceptibility in the two-dimensional transverse field Ising and XXZ models
• Induced decoherence and entanglement by interacting quantum spin baths
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Fidelity approach to Gaussian transitions
• Operator fidelity susceptibility, decoherence and quantum criticality
• Entanglement induced in spin-1/2 particles by a spin chain near its critical points
• Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
• Adiabatic Fidelity for Atom-Molecule Conversion in a Nonlinear Three-Level Λ-system
• Decoherence induced by a dynamic spin environment (I): The universal regime
• Bang-Bang control of a qubit coupled to a quantum critical spin bath
• Macroscopic Distinguishability Between Quantum States Defining Different Phases of Matter: Fidelity and the Uhlmann Geometric Phase
• Local entanglement and quantum phase transition in 1D transverse field Ising model
• Universal equilibrium distribution after a small quantum quench
• Quantum instability and edge entanglement in a quasi-long-range order
• DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
• Scaling of the fidelity susceptibility in a disordered quantum spin chain
• Quantum Critical Dynamics of A Qubit Coupled to An Isotropic Lipkin-Meshkov-Glick Bath
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Local temperature in quantum thermal states
• Teleportation of an atomic ensemble quantum state
• Decay of the classical Loschmidt echo in integrable systems
• Continuous-Variable Quantum State Transfer with Partially Disembodied Transport
• Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
• The ground state of a mixture of two species of fermionic atoms in 1D optical lattice
• Atom-to-molecule conversion efficiency and adiabatic fidelity
• Entanglement and quantum phase transitions
• Universal sub-leading terms in ground state fidelity
• Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model
• Thermal states of the Kitaev honeycomb model: a Bures metric analysis
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Vanishing environment-induced decoherence
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• Density-functional fidelity approach to quantum phase transitions
• Partial-state fidelity and quantum phase transitions induced by continuous level crossing
• Fidelity susceptibility and quantum adiabatic condition in thermodynamic limits
• Fidelity decay in trapped Bose-Einstein condensates
• Bound entanglement in quantum phase transitions
• Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
• Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor
• Quantum Chernoff Bound metric for the XY model at finite temperature
• Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model
• Two-Point Entanglement Near a Quantum Phase Transition
• Engineering fidelity echoes in Bose-Hubbard Hamiltonians
• Entanglement in spin-1/2 dimerized Heisenberg systems
• Semiclassical Approach to Survival Probability at Quantum Phase Transitions
• Entanglement and quantum phase transition in the asymmetric Hubbard chain: density-matrix renormalization group calculations
• Scaling Study of the Metal-Insulator Transition in one-Dimensional Fermion Systems
• Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds
• Reduced fidelity approach for quantum phase transitions in spin-1/2 dimerized Heisenberg chains
• Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
• Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
• Dynamical quantum phase transition of a two-component Bose-Einstein condensate in an optical lattice
• Hahn echo and criticality in spin-chain systems

Cited by in corpus (430)

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• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Band geometry, Berry curvature and superfluid weight
• Holographic Complexity
• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Quantum phases of Rydberg atoms on a kagome lattice
• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
• Geometry of quantum phase transitions
• Thermometry in the quantum regime: Recent theoretical progress
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• Gravity Dual of Quantum Information Metric
• Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Uhlmann fidelity between two-mode Gaussian states
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Discontinuities of the quantum Fisher information and the Bures metric
• Quantum fidelity in the thermodynamic limit
• Simple expression for the quantum Fisher information matrix
• Estimation of Gaussian quantum states
• Ultracold bosons with short-range interaction in regular optical lattices
• Coherent and dissipative dynamics at quantum phase transitions
• Critical dynamics of decoherence
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• A Complexity for Quantum Field Theory States and Application in Thermofield Double States
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Quantum phases with differing computational power
• Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
• Aspects of capacity of entanglement
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• Berry Curvature and Quantum Metric in $N$-band systems -- an Eigenprojector Approach
• Quantum geometry and flat band Bose-Einstein condensation
• Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
• Phase diagram and quench dynamics of the Cluster-XY spin chain
• Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
• Fidelity and criticality of quantum Ising chain with long-range interactions
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Fluctuations, uncertainty relations, and the geometry of quantum state manifolds
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Entanglement phases as holographic duals of anyon condensates
• Driving enhanced quantum sensing in partially accessible many-body systems
• Work statistics across a quantum phase transition
• Strongly Correlated Bosons on a Dynamical Lattice
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Measurement of Topological Order based on Metric-Curvature Correspondence
• Universal behavior of a bipartite fidelity at quantum criticality
• 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
• Quantum phase transitions in fully connected spin models: an entanglement perspective
• Fidelity Susceptibility in One-dimensional Disordered Lattice Models
• Conformal field theory complexity from Euler-Arnold equations
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
• Counterdiabatic driving of the quantum Ising model
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice
• Free-Fermionic Topological Quantum Sensors
• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• The Euler Number of Bloch States Manifold and the Quantum Phases in Gapped Fermionic Systems
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• Critical quantum metrology assisted by real-time feedback control
• Fast and robust control of two interacting spins
• Information Geometry and Quantum Phase Transitions in the Dicke Model
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
• Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
• Fidelity Based Measurement Induced Nonlocality
• Ground-state fidelity at first-order quantum transitions
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment
• Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
• Generalized fidelity susceptibility at phase transitions
• Fidelity Susceptibility in the Quantum Rabi Model
• Ground-state fidelity of the spin-1 Heisenberg chain with single ion anisotropy: quantum renormalization group and exact diagonalization approaches
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Energy level dynamics across the many-body localization transition
• Holographic Fidelity Susceptibility
• Sequential measurements for quantum-enhanced magnetometry in spin chain probes
• Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field
• Super-Heisenberg scaling in Hamiltonian parameter estimation in the long-range Kitaev chain
• Experimental Quantum Simulation of Entanglement in Many-body Systems
• Automatic differentiation of dominant eigensolver and its applications in quantum physics
• Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
• Fidelity susceptibility near topological phase transitions in quantum walks
• Spectral function and fidelity susceptibility in quantum critical phenomena
• Universal Hall Response in Synthetic Dimensions
• Dynamics of decoherence: universal scaling of the decoherence factor
• Fidelity as a probe for a deconfined quantum critical point
• Edge and bulk localization of Floquet topological superconductors
• Information metric and Euclidean Janus correspondence
• Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
• Stark localization as a resource for weak-field sensing with super-Heisenberg precision
• Quantum Critical Scaling under Periodic Driving
• Signature of nonequilibrium quantum phase transition in the long time average of Loschmidt echo
• Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• Quantum phase transitions in spin-1 XXZ chains with rhombic single-ion anisotropy
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
• Mathematical Methods in Quantum Optics: the Dicke Model
• Quantum Hall effects in fast rotating Fermi gases with anisotropic dipolar interaction
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Fidelity susceptibility of the anisotropic $XY$ model: The exact solution
• Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Quantum phase transitions of three-level atoms interacting with a one-mode electromagnetic field
• Scaling properties of work fluctuations after quenches at quantum transitions
• Direct measurement of quantum Fisher information
• Phase transitions in the ${\mathbb{Z}}_p$ and U(1) clock models
• Localization Driven Quantum Sensing
• Quantum kernels to learn the phases of quantum matter
• Superconducting Phases of the Square-Lattice Extended Hubbard Model
• Direct method for measuring of purity, superfidelity, and subfidelity of photonic two-qubit mixed states
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
• On de Sitter Spacetime and String Theory
• Non-Hermitian topological end breathers
• Universal Critical Behavior in the Dicke Model
• Quantum fidelity for degenerate groundstates in quantum phase transitions
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Quantum phases of disordered flatband lattice fractional quantum Hall systems
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Information geometry under hierarchical quantum measurement
• Holographic Computations of the Quantum Information Metric
• Edge mode dynamics of quenched topological wires
• Beyond the Berry Phase: Extrinsic Geometry of Quantum States
• Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing
• General Quantum Fidelity Susceptibilities for the J1-J2 Chain
• Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors
• Quantum phases of hard-core bosons in a frustrated honeycomb lattice
• On subregion holographic complexity and renormalization group flows
• Critical metrology of minimally accessible anisotropic spin chains
• One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
• Entanglements and correlations of one-dimensional quantum spin-1/2 chain with anisotropic power-law long range interactions
• Modular Many-Body Quantum Sensors
• Numerical studies of ground state fidelity of the Bose-Hubbard model
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Incommensurability enabled quasi-fractal order in 1D narrow-band moiré systems
• Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
• Hidden order and symmetry protected topological states in quantum link ladders
• Universal fidelity near quantum and topological phase transitions in finite 1D systems
• Quantum Renormalization Group for Ground-State Fidelity
• Complexity and information geometry in spin chains
• Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model
• Entanglement modes and topological phase transitions in superconductors
• From Classical to Quantum Information Geometry: A Guide for Physicists
• Bosonic integer quantum Hall states in topological bands with Chern number two
• Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
• Fluctuation-dissipation theorem for non-equilibrium quantum systems
• Novel Approach to Unveil Quantum Phase Transitions Using Fidelity Map
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Quantum criticality of the Rabi-Stark model at finite frequency ratios
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Discontinuity of Maximum Entropy Inference and Quantum Phase Transitions
• Exploring chaos in Dicke Model using ground state fidelity and Loschmidt echo
• Critical quantum thermometry and its feasibility in spin systems
• One-half of the Kibble-Zurek quench followed by free evolution
• Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Quantum phase transition between topologically distinct quantum critical points
• Role of mixed permutation symmetry sectors in the thermodynamic limit of critical three-level Lipkin-Meshkov-Glick atom models
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Critical non-Hermitian topology induced quantum sensing
• Topological edge modes and phase transition in the critical fermionic chain with long-range interaction
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• The three site interacting spin chain in staggered field: Fidelity vs Loschmidt echo
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
• Complexity and Floquet dynamics: non-equilibrium Ising phase transitions
• Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
• Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Global quantum discord and quantum phase transition in XY model
• Identifying non-Hermitian critical points with quantum metric
• XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• Quantum Anomalous Hall Phase Stabilized via Realistic Interactions on a Kagome Lattice
• Many-Body-Localization Transition : sensitivity to twisted boundary conditions
• Long-range interacting Stark many-body probes with Super-Heisenberg precision
• Friction-free quantum machines
• Ground-state phases of rung-alternated spin-1/2 Heisenberg ladder
• Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Quantum Zeno effect in correlated qubits
• Fidelity spectrum and phase transitions of quantum systems
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
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• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Classical analog of the quantum metric tensor
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• Trace distance and scaling behavior of coupled cavity lattice at finite temperature
• Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions
• A study of cooperative breathing-mode in molecular chains
• Phase space formulation of the Abelian and non-Abelian quantum geometric tensor
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• Detection of topological phases by quasi-local operators
• Quantum Phase Diagrams of Matter-Field Hamiltonians I: Fidelity, Bures Distance, and Entanglement
• Is attention all you need to solve the correlated electron problem?
• Detecting phase transitions and crossovers in Hubbard models using the fidelity susceptibility
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Quantum criticality at infinite temperature
• Fidelity susceptibility and topological phase transition of a two dimensional spin-orbit coupled Fermi superfluid
• Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
• Universal shift of the fidelity susceptibility peak away from the critical point of the Berezinskii-Kosterlitz-Thouless quantum phase transition
• Finite temperature geometric properties of the Kitaev honeycomb model
• Multipartite entanglement and quantum Fisher information in conformal field theories
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Density Matrix Spectra and Order Parameters in the 1D Extended Hubbard Model
• Fractional Quantum Hall States of Dipolar Gases in Chern Bands
• Exact thermal properties of free-fermionic spin chains
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
• Quantum phase transition in XXZ central spin model
• Low Depth Quantum Circuits for Ising Models
• Quantum dimer models with Rydberg gadgets
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation
• Quantum phase transition by employing trace distance along with the density matrix renormalization group
• Fidelity and entanglement entropy for infinite-order phase transitions
• Quantum adiabatic optimization with Rydberg arrays: localization phenomena and encoding strategies
• Anomalous pairing of bosons: Effect of multi body interactions in optical lattice
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice
• Renormalization of trace distance and multipartite entanglement close to the quantum phase transitions of one- and two-dimensional spin-chain systems
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Nonlinearity-enhanced quantum sensing in Stark probes
• Renormalization group approach to symmetry protected topological phases
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Detection of quantum phase boundary at finite temperatures in integrable spin models
• Entanglement-assisted local operations and classical communications conversion in the quantum critical systems
• Simulating continuous symmetry models with discrete ones
• Quantum critical phase diagram of bond alternating Ising model with Dzyaloshinskii-Moriya interaction: signature of ground state fidelity
• Geometry of the parameter space of a quantum system: Classical point of view
• Cluster expansion for ground states of local Hamiltonians
• Fibonacci anyon excitations of one-dimensional dipolar lattice bosons
• Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Fidelity susceptibility and Loschmidt echo for generic paths in a three spin interacting transverse Ising model
• Circuit Complexity through phase transitions: consequences in quantum state preparation
• Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
• Quantum geometrical properties of topological materials
• Emergent phases in a compass chain with multisite interactions
• Reduced basis surrogates for quantum spin systems based on tensor networks
• Entanglement spectrum as a marker for phase transitions in the density embedding theory for interacting spinless fermionic models
• Nature of continuous phase transitions in interacting topological insulators
• Applications of fidelity measures to complex quantum systems
• Unsupervised learning of phase transitions via modified anomaly detection with autoencoders
• Mass-Imbalanced Ionic Hubbard Chain
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
• Fidelity in topological superconductors with end Majorana fermions
• The role of quantum work statistics in many-body physics
• Fidelity susceptibility and geometric phase in critical phenomenon
• Orthogonality catastrophe and fractional exclusion statistics
• Dynamical fidelity susceptibility of decoherence-free subspaces
• Three-body constrained bosons in double-well optical lattice
• Topological quasi-one-dimensional state of interacting spinless electrons
• Critical quantum metrology in a stabilized two-photon Rabi model
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions
• Response of a quantum disordered spin system to a local periodic drive
• Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• Linking Phase Transitions and Quantum Entanglement at Arbitrary Temperature
• Detecting quantum critical points at finite temperature via quantum teleportation
• Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains
• Evidence of quantum phase transition in real-space vacuum entanglement of higher derivative scalar quantum field theories
• Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
• Measure of the density of quantum states in information geometry and its application in the quantum multi-parameter estimation
• Detecting composite orders in layered models via machine learning
• Footprints of impurity quantum phase transitions in quantum Monte Carlo statistics
• Classical criticality establishes quantum topological order
• Fidelity, susceptibility and critical exponents in the Dicke model
• Coarse-grained distinguishability of field interactions
• Role of marginality in quantum fidelity and Loschmidt echo: Dirac points in 2-D
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy
• Vanishing k-space fidelity and phase diagram's bulk-edge-bulk correspondence
• Classification of trivial spin-1 tensor network states on a square lattice
• Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility
• Complexity and quenches in models with three and four spin interactions
• Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-$\frac{1}{2}$ chain
• $\mu PT$ statistical ensemble: systems with fluctuating energy, particle number, and volume
• A learning algorithm with emergent scaling behavior for classifying phase transitions
• Emergent photon pair propagation in circuit QED with superconducting processors
• Time-Optimal Quantum Driving by Variational Circuit Learning
• Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field $XY$ model
• Phase diagram of the spin-1/2 Heisenberg alternating chain in a magnetic field
• Statistics-tuned phases of pseudofermions in one dimension
• Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
• Multicritical quantum sensors driven by symmetry-breaking
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Real space renormalization of Majorana fermions in quantum nano-wire superconductors
• Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
• Complexity and instability of quantum motion near a quantum phase transition
• Order parameter, correlation functions and fidelity susceptibility for the BCS model in the thermodynamic limit
• Steady-state susceptibility in continuous phase transitions of dissipative systems
• Critical crossover phenomena driven by symmetry-breaking defects at quantum transitions
• Phase transitions with finite atom number in the Dicke Model
• Classical description of the parameter space geometry in the Dicke and Lipkin-Meshkov-Glick models
• A triple point in 3-level systems
• Variational study of the quantum phase transition in bilayer Heisenberg model with Bosonic RVB wave function
• Z2 topological order and first-order quantum phase transitions in systems with combinatorial gauge symmetry
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Foliated order parameter in a fracton phase transition
• First-order quantum phase transitions as condensations in the space of states
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators
• Universal scaling of work statistics for quantum quenches
• Bipartite fidelity of critical dense polymers
• Information geometric analysis of long range topological superconductors
• Quantum criticality driven by the cavity coupling in Rabi-dimer model
• Dynamical scaling laws in the quantum $q$-state clock chain
• The quantum geometric tensor from generating functions
• Non-monotonicity of trace distance under tensor products
• The Quantum Geometric Tensor in a Parameter Dependent Curved Space
• Quantum phase transition induced by real-space topology
• Scaling behavior for a class of quantum phase transitions
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
• Spin-echo and quantum versus classical critical fluctuations in TmVO${}_4$
• Dynamic quantum-enhanced sensing without entanglement in central spin systems
• Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices
• Quantum phase transition in an atom-molecule conversion system with atomic hopping
• Quantum critical scaling of fidelity in BCS-like model
• Capturing magic angles in twisted bilayer graphene from information theory markers
• Genuine tripartite entanglement as a probe of quantum phase transitions in a spin-1 Heisenberg chain with single-ion anisotropy
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Adiabatic charge transport in extended SSH models
• Phase diagram for the Harper model of the honeycomb lattice
• Quantum quench thermodynamics at high temperatures
• A universal black-box quantum Monte Carlo approach to quantum phase transitions
• Spinor Bose-Einstein Condensates of Rotating Polar Molecules
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Lower and upper bounds on the fidelity susceptibility
• Quantum Renyi relative entropies on a spin chain with interface defects
• A New Framework for Quantum Phases in Open Systems: Steady State of Imaginary-Time Lindbladian Evolution
• Adiabatic echo protocols for robust quantum many-body state preparation
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
• Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
• Mixed-state fidelity susceptibility through iterated commutator series expansion
• Geometric phase in the Kitaev honeycomb model and scaling behavior at critical points
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Efficient quantum information probes of non-equilibrium quantum criticality
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Signature of quantum phase transition manifested in quantum fidelity at finite temperature
• Topological analysis of the complex SSH model using the quantum geometric tensor
• Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study
• Effects of the Hubbard interaction on the quantum metric
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Geometry, quantum correlations, and phase transitions in the $\Lambda$-atomic configuration
• Kosterlitz-Thouless phase and $Z_d$ topological quantum phase
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results
• Fidelity decay and error accumulation in random quantum circuits
• Geometrical properties of the ground state manifold in the spin boson model
• Generalized quantum geometric tensor for excited states using the path integral approach
• Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Refined Phase Diagram for a Spin-1 System Exhibiting a Haldane Phase
• Fidelity zeros and Lee-Yang theory of quantum phase transitions
• Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
• Precision magnetometry exploiting excited state quantum phase transitions
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Zero Curvature Condition for Quantum Criticality
• Monotone Riemannian metrics and dynamic structure factor in condensed matter physics
• Quantum Fisher information as a witness of non-Markovianity and criticality in the spin-boson model
• Quantitative Determination of the Critical Points of Mott Metal-Insulator Transition in Strongly Correlated Systems
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Noisy Stark probes as quantum-enhanced sensors
• Dynamics of qudit gates and effects of spectator modes on optimal control pulses
• Investigating Dirty Crossover through Fidelity Susceptibility and Density of States
• Partial thermalisation of a two-state system coupled to a finite quantum bath
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Topological charge scaling at a quantum phase transition
• Semi-classical geometric tensor in multiparameter quantum information
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Distinguishing dynamical quantum criticality through local fidelity distances
• Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
• Characterizing nonclassical correlations of tensorizing states in a bilocal scenario
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Extension of the Adiabatic Theorem
• Teleportation based detection of quantum critical points using small spin chains
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• Quantum many-body scarring from Kramers-Wannier duality
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• Nuclear magnetic resonance studies in a model transverse field Ising system
• Quantum Geometry of Finite XY Chains: A Comparison of Neveu-Schwarz and Ramond Sectors
• Ground state overlap knows about ultraviolet dynamics: results for the Kondo model
• Nonperturbative signatures of fractons in the twisted multiflavor Schwinger Model
• Comparing quantum complexity and quantum fidelity
• Characterizing quantum phase transition by teleportation
• Relativistic meson spectra on ion-trap quantum simulators
• Quantum geometric tensor determines the pure-state i.i.d. conversion rate in the resource theory of asymmetry for any compact Lie group
• Characterizing quantum ensemble using geometric measure of quantum coherence
• From generating functions to the geometric Binder cumulant
• Fidelity and quantum geometry approach to Dirac exceptional points in diamond nitrogen-vacancy centers
• Arithmetic Tuning of Dynamical Critical Exponents in Quasiperiodic Localization Transitions
• Sensitivity Bounds of Multiparameter Metrology at Thermal Equilibrium
• The toric code under antiferromagnetic isotropic Heisenberg interactions
• Principle of learning sign rules by neural networks in qubit lattice models
• Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
• Ground-state-energy universality of noninteracting fermionic systems
• Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder
• 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
• From Divergent Series to Geometry: Resurgence of the Quantum Metric
• Enhanced Quantum Metrology via Saddle-Point Scrambling in Phase Space
• Adiabatic continuity and broken symmetry in many-electron systems: a variational perspective