Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model

Abstract

We analyze the quantum phase transition in the Bose-Hubbard model borrowing two tools from quantum-information theory, i.e. the ground-state fidelity and entanglement measures. We consider systems at unitary filling comprising up to 50 sites and show for the first time that a finite-size scaling analysis of these quantities provides excellent estimates for the quantum critical point.We conclude that fidelity is particularly suited for revealing a quantum phase transition and pinning down the critical point thereof, while the success of entanglement measures depends on the mechanisms governing the transition.

7 pages, 5 figures (endfloats used due to problems with figures and latex. Sorry about that); final version, similar to the published one

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Entanglement in a second order quantum phase transition
• Entanglement in a first order quantum phase transition
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions

Cited by in corpus (81)

• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum critical scaling of the geometric tensors
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Geometry of quantum phase transitions
• Ground state fidelity from tensor network representations
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• 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
• Bures metric over thermal state manifolds and quantum criticality
• 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
• Coherent and dissipative dynamics at quantum phase transitions
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Fidelity Between Partial States as Signature of Quantum Phase Transitions
• Quantum Fidelity and Thermal Phase Transitions
• Finite temperature fidelity susceptibility for one-dimensional quantum systems
• The fidelity approach to the Hubbard model
• Fidelity approach to Gaussian transitions
• 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
• Macroscopic Distinguishability Between Quantum States Defining Different Phases of Matter: Fidelity and the Uhlmann Geometric Phase
• Spectral function and fidelity susceptibility in quantum critical phenomena
• Ground-state fidelity of Luttinger liquids: A wave functional approach
• 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
• Fidelity and superconductivity in two-dimensional t-J models
• Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
• Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
• Entanglement modes and topological phase transitions in superconductors
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Ground-state fidelity in the BCS-BEC crossover
• Thermal states of the Kitaev honeycomb model: a Bures metric analysis
• The phases of the disordered Bose-Hubbard model with attractive interactions
• Reduced fidelity in Kitaev honeycomb model
• Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
• Fidelity Study of Superconductivity in Extended Hubbard Models
• Density-functional fidelity approach to quantum phase transitions
• Correlation-induced coherence and its use in detecting 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
• Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
• Pseudo-classical theory for fidelity of nearly resonant quantum rotors
• Quantum Chernoff Bound metric for the XY model at finite temperature
• Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
• Entanglement and level crossings in frustrated ferromagnetic rings
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation
• Operator Quantum Geometric Tensor and Quantum Phase Transitions
• Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
• Fidelity susceptibility and geometric phase in critical phenomenon
• Phase diagram reconstruction of the Bose-Hubbard model with a Restricted Boltzmann Machine wavefunction
• Reduced fidelity approach for quantum phase transitions in spin-1/2 dimerized Heisenberg chains
• Exact numerical methods for a many-body Wannier Stark system
• Detecting quantum critical points at finite temperature via quantum teleportation
• Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
• Classical and quantum analysis of a heterotriatomic molecular Bose-Einstein-condensate model
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• Time- and frequency-domain two-particle correlations of a driven dissipative Bose-Hubbard model
• Scaling behavior for a class of quantum phase transitions
• Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems
• Information geometry and synchronization phase transition in Kuramoto model
• Entanglement in the full state vector of boson sampling
• Dynamics of Entanglement and the Schmidt Gap in a Driven Light-Matter System
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Analytic approach to the Landau-Zener problem in bounded parameter space
• Adiabatic Sensing Enhanced by Quantum Criticality
• Characterizing the delocalized-localized Anderson phase transition based on the system's response to boundary conditions
• Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
• Polynomial deformations of $sl(2)$ and unified algebraic framework for solutions of a class of spin models
• Trapping polar molecules by surface acoustic waves
• Tunable Hilbert space fragmentation and extended critical regime
• False signals of chaos from quantum probes