Ground state overlap and quantum phase transitions
arXiv:quant-ph/0512249 · doi:10.1103/PhysRevE.74.031123
Abstract
We present a characterization of quantum phase transitions in terms of the the overlap function between two ground states obtained for two different values of external parameters. On the examples of the Dicke and XY models, we show that the regions of criticality of a system are marked by the extremal points of the overlap and functions closely related to it. Further, we discuss the connections between this approach and the Anderson orthogonality catastrophe as well as with the dynamical study of the Loschmidt echo for critical systems.
5 pages. Version to be published, title changed
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- Order parameter, correlation functions and fidelity susceptibility for the BCS model in the thermodynamic limit
- Phase transitions with finite atom number in the Dicke Model
- Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
- Quantum criticality driven by the cavity coupling in Rabi-dimer model
- The scaling of the density of states in systems with resonance states
- Holographic Cavalieri Principle as a Universal relation between Holographic Complexity and Holographic Entanglement Entropy
- Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder
- Thermodynamic and Holographic Information Dual to Volume
- Scaling behavior for a class of quantum phase transitions
- Quantum phases of a three-level matter-radiation interaction model using coherent states with different cooperation numbers
- Exciton Condensation in Quantum Hall Bilayers at Total Filling
- Critical behavior of the fidelity susceptibility for the d=2 transverse-field Ising model
- Bipartite fidelity of critical dense polymers
- Information geometric analysis of long range topological superconductors
- Optimal basis for the generalized Dicke model
- Quantifying fermionic interactions from the violation of Wick's theorem
- Quantum phase transition induced by real-space topology
- State Space Geometry of the Spin-1 Antiferromagnetic Heisenberg Chain
- The quantum geometric tensor from generating functions
- Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
- Saturable global quantum sensing
- Distinguishing Phases with Ansatz Wavefunctions
- Quantum computing fidelity susceptibility using automatic differentiation
- Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach
- Quantum quench thermodynamics at high temperatures
- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
- Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
- Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems
- Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
- Quantum critical scaling of fidelity in BCS-like model
- Spin-singlet and spin-triplet pairing correlations in antiferromagnetically coupled Kondo systems
- Critical quantum metrology robust against dissipation and non-adiabaticity
- The transition to chaos of coupled oscillators: An operator fidelity susceptibility study
- Adiabatic Transformations in Dissipative and Non-Hermitian Phase Transitions
- Learning topological states from randomized measurements using variational tensor network tomography
- Phase diagram for the Harper model of the honeycomb lattice
- Transverse-field spin chain with the competing long-range interactions: Multi-criticality around the -symmetric point
- Quantum geometry in many-body systems with precursors of criticality
- A universal black-box quantum Monte Carlo approach to quantum phase transitions
- Capturing magic angles in twisted bilayer graphene from information theory markers
- Critical slowing down of multi-atom entanglement by Rydberg blockade
- Quantum phase transitions in an effective Hamiltonian: fast and slow systems
- Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
- Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
- A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
- Information geometry and synchronization phase transition in Kuramoto model
- Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
- Semiclassical approach to the quantum Loschmidt echo in deep quantum regions: from validity to breakdown
- Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
- Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
- Signature of quantum phase transition manifested in quantum fidelity at finite temperature
- Adiabatic echo protocols for robust quantum many-body state preparation
- Infinite Distance Limits and Information Theory
- Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results
- A binary mixture of Bose-Einstein-condensates in a double-well potential: Berry phase and two-mode entanglement
- Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
- Hahn echo and criticality in spin-chain systems
- Sudden quench of harmonically trapped mass-imbalanced fermions
- Universal Anomaly of Dynamics at Phase Transition Points Induced by Pancharatnam-Berry Phase
- Quantum Information Approach to Bose-Einstein Condensate in a Tilted Double-Well System
- Zero Curvature Condition for Quantum Criticality
- Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
- Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
- Quantum Liang Information Flow Probe of Causality across Critical Points
- Adiabatic Sensing Enhanced by Quantum Criticality
- Quantum phase transitions and ground-state correlations in BCS-like models
- Entropy of entanglement between quantum phases of a three-level matter-radiation interaction model
- Pairwise Entanglement and Geometric Phase in -Dimensional Free-Fermion Lattice Systems
- Analytic approach to the Landau-Zener problem in bounded parameter space
- Quantum phase transition of two-level atoms interacting with a finite radiation field
- Super Mario's prison break -- a proposal of object-intelligent-feedback-based classical Zeno and anti-Zeno effects
- Two-dimensional easy-plane SU magnet with the transverse field: Anisotropy-driven multicriticality
- Dynamics of Majorana zero modes across hybrid Kitaev chain
- Investigating Dirty Crossover through Fidelity Susceptibility and Density of States
- Noisy Stark probes as quantum-enhanced sensors
- Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model
- Entanglement manifestation of knot topology in a non-Hermitian lattice
- Fractional topological excitations and quantum phase transition in a bilayer 2DEG adjacent to a superconductor film
- Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
- Fidelity-mediated analysis of the transverse-field chain with the long-range interactions: Anisotropy-driven multi-criticality
- Small quench dynamics as a probe for trapped ultracold atoms
- Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations
- Extension of the Adiabatic Theorem
- -VBS phase boundary for the square-lattice - model with the ring exchange
- End-point singularity of the -paramagnetic phase boundary for the D square-lattice - model with the single-ion anisotropy
- Quantum Information metric for time-dependent quantum systems and higher-order corrections
- Characterizing quantum phase transition by teleportation
- Multipartite entanglement in quantum phase transitions
- Ground state overlap knows about ultraviolet dynamics: results for the Kondo model
- Universal witnesses of vanishing energy gap
- Adiabatic continuity and broken symmetry in many-electron systems: a variational perspective
- Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
- False signals of chaos from quantum probes
- Non-destructively probing the thermodynamics of quantum systems with qumodes
- Unveiling hidden features of the Kitaev model through a complex-network analysis
- Polynomial deformations of and unified algebraic framework for solutions of a class of spin models
- Time correlations from steady-state expectation values
- Discrete time crystal for periodic-field sensing with quantum-enhanced precision
- The quantum Ising model: finite sums and hyperbolic functions
- Generation of concurrence in a generalized central spin model with a three-spin interacting environment
- Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
- The toric code under antiferromagnetic isotropic Heisenberg interactions
- Sensitivity Bounds of Multiparameter Metrology at Thermal Equilibrium
- Enhanced quantum metrology by criticality-assisted noncommutative preparation
- Arithmetic Tuning of Dynamical Critical Exponents in Quasiperiodic Localization Transitions
- The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
- Longitudinal-field fidelity susceptibility analysis of the - transverse-field Ising model around
- Probing phase transitions in non-Hermitian systems with quantum entanglement