Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems
arXiv:2411.07181 · doi:10.1103/srx7-cpl4
Abstract
The dynamical quantum phase transition (DQPT) is an important concept in nonequilibrium critical phenomena; however, its relation to the equilibrium quantum phase transition (EQPT) remains obscure. Substantial evidence has suggested that quenching across the underlying equilibrium phase boundary is neither a sufficient nor a necessary condition for the existence of the DQPT. In this work, we give a necessary and sufficient condition for the occurrence of DQPTs in two-band systems by introducing the quench fidelity, which is defined as the fidelity between the ground-state wave functions of the prequench and postquench Hamiltonian, and elaborate it by taking the one-dimensional anisotropic XY model as an example. The relation between EQPTs and DQPTs is analyzed in detail in terms of the quench fidelity.
10 pages, 6 figures
References in corpus (49)
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Ground state overlap and quantum phase transitions
- Dynamical quantum phase transitions: a review
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Observation of a dynamical topological phase transition
- 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
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Dynamical phase diagram of spin chains with long-range interactions
- 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
- Anomalous dynamical phase in quantum spin chains with long-range interactions
- Ground-state fidelity in one-dimensional gapless model
- Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
- Quantum fidelity in the thermodynamic limit
- Quenches and dynamical phase transitions in a non-integrable quantum Ising model
- Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
- Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
- Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field
- Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
- Dynamical topological invariant after a quantum quench
- Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
- Fidelity approach to quantum phase transitions: finite size scaling for quantum Ising model in a transverse field
- Dynamical Quantum Phase Transition and Quasi Particle Excitation
- Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
- Ground state fidelity and quantum phase transitions in free Fermi systems
- Out-of-equilibrium phase diagram of long-range superconductors
- Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
- Tuning the presence of dynamical phase transitions in a generalized spin chain
- Dynamical Topological Quantum Phase Transitions at Criticality
- Quasiparticle origin of dynamical quantum phase transitions
- Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
- Oscillating fidelity susceptibility near a quantum multicritical point
- Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
- Fidelity as a probe for a deconfined quantum critical point
- Signature of nonequilibrium quantum phase transition in the long time average of Loschmidt echo
- Fidelity susceptibility of the anisotropic model: The exact solution
- Dynamical singularity of the rate function for quench dynamics in finite-size quantum systems
- Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
- Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
- Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
- Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
- Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
- The Loschmidt Index
- Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions