Floquet dynamical quantum phase transitions in periodically quenched systems

Abstract

Dynamical quantum phase transitions (DQPTs) are characterized by nonanalytic behaviors of physical observables as functions of time. When a system is subject to time-periodic modulations, the nonanalytic signatures of its observables could recur periodically in time, leading to the phenomena of Floquet DQPTs. In this work, we systematically explore Floquet DQPTs in a class of periodically quenched one-dimensional system with chiral symmetry. By tuning the strength of quench, we find multiple Floquet DQPTs within a single driving period, with more DQPTs being observed when the system is initialized in Floquet states with larger topological invariants. Each Floquet DQPT is further accompanied by the quantized jump of a dynamical topological order parameter, whose values remain quantized in time if the underlying Floquet system is prepared in a gapped topological phase. The theory is demonstrated in a piecewise quenched lattice model, which possesses rich Floquet topological phases and is readily realizable in quantum simulators like the nitrogen-vacancy center in diamonds. Our discoveries thus open a new perspective for the Floquet engineering of DQPTs and the dynamical detection of topological phase transitions in Floquet systems.

arXiv comment12pages, 6 figures, close to the published version

References in corpus (61)

• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Floquet Engineering of Quantum Materials
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamical quantum phase transitions: a review
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Floquet topological insulators
• Time crystals: a review
• Observation of a dynamical topological phase transition
• Discrete Time Crystals
• Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
• Dynamical Topological Order Parameters far from Equilibrium
• Dynamical quantum phase transitions: scaling and universality
• Topology and Broken Symmetry in Floquet Systems
• 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
• First order dynamical phase transitions
• Dynamics after a sweep through a quantum critical point
• Dynamical quantum phase transitions in non-Hermitian lattices
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Observation of dynamical quantum phase transition by a superconducting qubit simulation
• Quantized Adiabatic Transport in Momentum Space
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Floquet dynamical quantum phase transitions
• Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
• Dynamical topological invariant after a quantum quench
• Time crystals in periodically driven systems
• Experimental Observation of a Generalized Thouless Pump with a Single Spin
• Quantum Walk in Momentum Space with a Bose-Einstein Condensate
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Floquet dynamical phase transition and entanglement spectrum
• Topological Entanglement-Spectrum Crossing in Quench Dynamics
• Floquet topological phases in a spin-1/2 double kicked rotor
• Dynamical quantum phase transitions: a brief survey
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
• Measuring a Dynamical Topological Order Parameter in Quantum Walks
• Dynamical quantum phase transitions in discrete time crystals
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Observation of dynamical phase transitions in a topological nanomechanical system
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Condensed Matter Physics in Time Crystals
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Dual topological characterization of non-Hermitian Floquet phases
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• A quantum random walk of a Bose-Einstein condensate in momentum space
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Signatures of topology in quantum quench dynamics and their interrelation
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Super-exponential diffusion in nonlinear non-Hermitian systems

Cited by in corpus (21)

• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Non-Hermitian Floquet Topological Matter -- A Review
• Dissipative Floquet Dynamical Quantum Phase Transition
• Floquet topological phase transitions in a periodically quenched dimer
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Engineering Floquet Dynamical Quantum Phase Transition
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Quantum coherence assisted dynamical phase transition
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Quantum Phase Transitions in periodically quenched systems
• Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous