Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit

Abstract

We analytically investigated the dynamical quantum phase transitions in the Bose-Hubbard model using the Loschmidt echo as an observable, revealing that after a quench, the global Loschmidt echo exhibits cusp singularities with a logarithmically divergent rate function near criticality and a critical exponent of zero. Through extensive calculations across various system sizes and initial states, we have demonstrated that in the strongly interacting regime, the critical singularity of dynamical quantum phase transitions exhibits consistency across different model details and initial product states (charge-density wave states). Moreover, we find that modifying the harmonic potential well not only preserves the phase transition but also enables precise control over the transition timing.

References in corpus (44)

• Many-Body Physics with Ultracold Gases
• Quantum Simulation
• Superconducting Qubits: Current State of Play
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Quantum Quench in the Transverse Field Ising Chain
• Dynamical quantum phase transitions: a review
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Observation of a dynamical topological phase transition
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Dynamical Topological Order Parameters far from Equilibrium
• Dynamical phase transitions after quenches in non-integrable models
• Dynamical quantum phase transitions: scaling and universality
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Topological classification of dynamical phase transitions
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• First order dynamical phase transitions
• Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
• Observation of dynamical quantum phase transition by a superconducting qubit simulation
• Mixed state dynamical quantum phase transition and emergent topology
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Dynamical quantum phase transitions in discrete time crystals
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• Dynamical phase transitions, time-integrated observables and geometry of states
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Local measures of dynamical quantum phase transitions
• Dynamical properties of hard-core anyons in one-dimensional optical lattices
• Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators
• Dynamical Topological Phase Transition in a Bose-Einstein Condensate
• Dynamical quantum phase transition in a system of non-interacting bosons
• Dynamical quantum phase transition for mixed states in open systems
• Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
• Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
• Dynamical singularity of the rate function for quench dynamics in finite-size quantum systems
• Dynamical quantum phase transitions in Weyl semimetals
• Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
• Dynamical Quantum Phase Transition Without An Order Parameter
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Dynamical quantum phase transitions on cross-stitch flat band networks
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Quantum dynamics of hard-core bosons in tilted bichromatic optical lattices