Geometry effect of the dynamical quantum phase transitions at finite temperatures
arXiv:2410.17940 · doi:10.1103/PhysRevB.111.174310
Abstract
Dynamical quantum phase transitions (DQPTs) probe the nonequilibrium evolution of quantum systems, unveiling their geometric and topological characteristics. In this study, we introduce the concepts of parallel quench and dynamic geometrical order parameter (DGOP) for non-band models, where these quantities capture the geometric shifts associated with DQPTs. At zero temperature, the DGOP corresponds to the Pancharatnam geometric phase, while at finite temperatures, it extends to the interferometric geometric phase. We further generalize the dynamic topological order parameter (DTOP) to finite-temperature band models, examining its behavior in the Su-Schrieffer-Heeger (SSH) model. Our analysis shows that thermal fluctuations and boundary effects at finite temperatures disrupt the quantization of the DTOP, yet it retains signatures of topological transitions. These findings deepen the understanding of geometric and topological properties in quantum dynamics, illuminating DQPTs across both non-band and band frameworks.
arXiv comment14 pages, 5 figures
References in corpus (89)
- Probing many-body dynamics on a 51-atom quantum simulator
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Dynamical quantum phase transitions: a review
- Geometric phases for mixed states in interferometry
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Dynamical phase transition in correlated fermionic lattice systems
- Observation of a dynamical topological phase transition
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- 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
- Simulating dynamic quantum phase transitions in photonic quantum walks
- Dynamical quantum phase transitions in systems with broken-symmetry phases
- Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
- Dynamical phase diagram of spin chains with long-range interactions
- Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
- An experimental observation of geometric phases for mixed states using NMR interferometry
- Anomalous dynamical phase in quantum spin chains with long-range interactions
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
- Dynamical quantum phase transitions in non-Hermitian lattices
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Observation of dynamical quantum phase transition by a superconducting qubit simulation
- Mixed state dynamical quantum phase transition and emergent topology
- Dynamical Topological Quantum Phase Transitions for Mixed States
- Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
- Quenches and dynamical phase transitions in a non-integrable quantum Ising model
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Floquet dynamical quantum phase transitions
- Dynamical Quantum Phase Transitions: A Geometric Picture
- Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
- Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
- Experimental Determination of Dynamical Lee-Yang Zeros
- Quench dynamics and zero-energy modes: the case of the Creutz model
- Measurement of geometric phase for mixed states using single photon interferometry
- Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
- Floquet dynamical phase transition and entanglement spectrum
- Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
- Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
- Dynamical phase transitions in the two-dimensional transverse-field Ising model
- Dynamical quantum phase transitions in quantum link models
- Observation of dynamical phase transitions in a topological nanomechanical system
- Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
- Tuning the presence of dynamical phase transitions in a generalized spin chain
- Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
- Floquet dynamical quantum phase transitions under synchronized periodic driving
- Dynamical quantum phase transitions in the quantum Potts chain
- The fate of dynamical phase transitions at finite temperatures and in open systems
- Quasiparticle origin of dynamical quantum phase transitions
- Experimental Realization of the Rabi-Hubbard Model with Trapped Ions
- Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
- Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
- Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
- Out-of-time-order correlations and Floquet dynamical quantum phase transition
- Detecting dynamical quantum phase transition via out-of-time-order correlations in a solid-state quantum simulator
- Dynamical quantum phase transitions and non-Markovian dynamics
- Finite temperature dynamical quantum phase transition in a non-Hermitian system
- 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 phase transitions in dissipative quantum dynamics with quantum optical realization
- Observation of nonadditive mixed state phases with polarized neutrons
- Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
- Many-body dynamical phase transition in quasi-periodic potential
- Zeros of Loschmidt echo in the presence of Anderson localization
- Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
- Boundaries and unphysical fixed points in Dynamical Quantum Phase Transitions
- Dynamical quantum phase transitions in a mesoscopic superconducting system
- Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems
- Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
- Floquet dynamical quantum phase transitions in periodically quenched systems
- Experimental Measurement of Mixed State Geometric Phase by Quantum Interferometry using NMR
- Geometric Phases for Mixed States of the Kitaev Chain
- Finite-temperature topological phase transitions of spin- systems in Uhlmann processes: General formalism and experimental protocols
- Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
- Dynamical Quantum Phase Transitions in Extended Toric-Code Models
- Landau theory for finite-time dynamical phase transitions
- Dynamical quantum phase transitions in Weyl semimetals
- Dynamical Quantum Phase Transition Without An Order Parameter
- Dynamical quantum phase transitions on cross-stitch flat band networks
- Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
- Geometrical quench and dynamical quantum phase transition in the lattice
- Uhlmann quench and geometric dynamic quantum phase transition of mixed states
- Dynamical phase transition in Floquet optical bistable systems: An approach from finite-size quantum systems