Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases

Abstract

Dynamical quantum phase transitions can occur following quenches in quantum systems when the rate function, a dynamical analogue of the free energy, becomes non-analytic at critical times. Here we exhaustively investigate in an exemplary model how the dynamically evolving state responds to a second quench. We demonstrate that for quenches where the initial and final Hamiltonian belong to different phases always result in dynamical quantum phase transitions, irrespective of the intermediate quench and dynamics or the time of the second quench. However, if the initial and final Hamiltonian belong to the same equilibrium phase then the intermediate Hamiltonian must belong to a different phase. In this case, the second quench time in relation to the critical times of the first quench becomes crucial to the existence of dynamical quantum phase transitions.

References in corpus (107)

• Topological Insulators
• Unpaired Majorana fermions in quantum wires
• Nonequilibrium dynamics of closed interacting quantum systems
• Quantum Coherence as a Resource
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Ground state overlap and quantum phase transitions
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• 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
• 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
• Mixed-state fidelity and quantum criticality at finite temperature
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Dynamical phase diagram of spin chains with long-range interactions
• Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
• 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
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• 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
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Floquet dynamical quantum phase transitions
• Loschmidt Echo Revivals: Critical and Noncritical
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Entanglement view of dynamical quantum phase transitions
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
• Floquet dynamical phase transition and entanglement spectrum
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
• 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
• Out-of-equilibrium phase diagram of long-range superconductors
• Dynamical quantum phase transitions in $U(1)$ quantum link models
• Dynamical Topological Quantum Phase Transitions at Criticality
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Dynamical quantum phase transitions in the quantum Potts chain
• Loschmidt echo and dynamical fidelity in periodically driven quantum systems
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Quasiparticle origin of dynamical quantum phase transitions
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Dissipative Floquet Dynamical Quantum Phase Transition
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Local measures of dynamical quantum phase transitions
• Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Finite-component dynamical quantum phase transitions
• Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
• Out-of-time-order correlations and Floquet dynamical quantum phase transition
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Dynamical quantum phase transitions and non-Markovian dynamics
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Dynamical Topological Phase Transition in a Bose-Einstein Condensate
• Dynamical quantum phase transition in a system of non-interacting bosons
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Universality in dynamical phase transitions of diffusive systems
• Dynamical topological quantum phase transitions in nonintegrable models
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Distinguishing phases using the dynamical response of driven-dissipative light-matter systems
• Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Many-body dynamical phase transition in quasi-periodic potential
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
• Controlling Dynamical Quantum Phase Transitions
• Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
• Dynamical quantum phase transitions in a mesoscopic superconducting system
• Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
• Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Floquet dynamical quantum phase transitions in periodically quenched systems
• Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain
• Dynamical Quantum Phase Transitions in Extended Toric-Code Models
• Dynamical quantum phase transition in a bosonic system with long-range interactions
• Dynamical quantum phase transitions in the random field Ising model
• Entanglement and precession in two-dimensional dynamical quantum phase transitions
• Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
• Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Dynamical quantum phase transitions in a spin chain with deconfined quantum critical points
• Quantum spin fluctuations in dynamical quantum phase transitions
• Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model
• Dynamical Phase Transitions in Topological Insulators
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• Dynamical Quantum Phase transitions and Recurrences in the Non-Equilibrium BCS model
• Duality and topology

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• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
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• Relaxation time as a control parameter for exploring dynamical phase diagrams
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
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• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter