Fidelity susceptibility, scaling, and universality in quantum critical phenomena

Abstract

We study fidelity susceptibility in one-dimensional asymmetric Hubbard model, and show that the fidelity susceptibility can be used to identify the universality class of the quantum phase transitions in this model. The critical exponents are found to be 0 and 2 for cases of half-filling and away from half-filling respectively.

4 pages, 4 figures

References in corpus (13)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum critical scaling of the geometric tensors
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Mixed-state fidelity and quantum criticality at finite temperature
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Quantum fidelity and quantum phase transitions in matrix product states
• Quantum phase transitions and quantum fidelity in free fermion graphs
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Spin-1/2 fermions on spin-dependent optical lattices
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• Segregation in the asymmetric Hubbard model
• Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model

Cited by in corpus (81)

• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Bayesian parameter inference from continuously monitored quantum systems
• Entanglement renormalization and gauge symmetry
• Fidelity analysis of topological quantum phase transitions
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Direct observation of quantum criticality in Ising spin chains
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Quantum Fidelity and Thermal Phase Transitions
• The fidelity approach to the Hubbard model
• Measurement of Topological Order based on Metric-Curvature Correspondence
• Fidelity Susceptibility in One-dimensional Disordered Lattice Models
• Free-Fermionic Topological Quantum Sensors
• Oscillating fidelity susceptibility near a quantum multicritical point
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
• Multiparameter critical quantum metrology with impurity probes
• Fidelity Susceptibility in the Quantum Rabi Model
• Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
• Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
• Spectral function and fidelity susceptibility in quantum critical phenomena
• Stark localization as a resource for weak-field sensing with super-Heisenberg precision
• Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Quantum metrology in the noisy intermediate-scale quantum era
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Modular Many-Body Quantum Sensors
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Entanglement modes and topological phase transitions in superconductors
• From Classical to Quantum Information Geometry: A Guide for Physicists
• Ground-state fidelity in the BCS-BEC crossover
• Reduced fidelity in Kitaev honeycomb model
• Novel Approach to Unveil Quantum Phase Transitions Using Fidelity Map
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Thermal states of the Kitaev honeycomb model: a Bures metric analysis
• Density-functional fidelity approach to quantum phase transitions
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• Partial-state fidelity and quantum phase transitions induced by continuous level crossing
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Long-range interacting Stark many-body probes with Super-Heisenberg precision
• Dicke-type phase transition in a multimode optomechanical system
• Universal shot-noise limit for quantum metrology with local Hamiltonians
• Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
• Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
• Operator Quantum Geometric Tensor and Quantum Phase Transitions
• Quantum Thermometry with a Dissipative Quantum Rabi System
• Nonlinearity-enhanced quantum sensing in Stark probes
• Exact results for the criticality of quench dynamics in quantum Ising models
• Quantum Geometry and the Hidden Scales in Materials
• Quantum geometrical properties of topological materials
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
• Detecting quantum critical points at finite temperature via quantum teleportation
• Sharp detection of the onset of Floquet heating using eigenstate sensitivity
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Steady-state susceptibility in continuous phase transitions of dissipative systems
• Multicritical quantum sensors driven by symmetry-breaking
• Time-Optimal Quantum Driving by Variational Circuit Learning
• Dynamical scaling laws in the quantum $q$-state clock chain
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Quantum criticality driven by the cavity coupling in Rabi-dimer model
• A universal black-box quantum Monte Carlo approach to quantum phase transitions
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Direct measurement of the quantum geometric tensor in pseudo-Hermitian systems
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies
• Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench
• Relativistic meson spectra on ion-trap quantum simulators
• Arithmetic Tuning of Dynamical Critical Exponents in Quasiperiodic Localization Transitions
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• Tunable Hilbert space fragmentation and extended critical regime
• Quantum criticality and factorization in a constrained Rydberg spin chain