Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition

Abstract

The nonequilibrium dynamics of a periodically driven extended XY model, in the presence of linear time dependent magnetic filed, is investigated using the notion of dynamical quantum phase transitions (DQPTs). Along the similar lines to the equilibrium phase transition, the main purpose of this work is to search the fundamental concepts such as scaling and universality at the ramped quench DQPTs. We have shown that the critical points of the model, where the gap closing occurs, can be moved by tuning the driven frequency and consequently the presence/absence of DQPTs can be flexibly controlled by adjusting the driven frequency. %Taking advantage of this property, We have uncovered that, for a ramp across the single quantum critical point, the critical mode at which DQPTs occur is classified into three regions: the Kibble-Zurek (KZ) region, where the critical mode scales linearly with the square root of the sweep velocity, pre-saturated (PS) region, and the saturated (S) region where the critical mode makes a plateau versus the sweep velocity. While for a ramp that crosses two critical points, the critical modes disclose just KZ and PS regions. On the basis of numerical simulations, we find that the dynamical free energy scales linerly with time, as approaches to DQPT time, with the exponent $\nu =1\pm 0.01$ for all sweep velocities and driven frequencies.

arXiv comment11 pages

References in corpus (102)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Experimental realisation of the topological Haldane model
• Many-body localization, thermalization, and entanglement
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Many-body localization in a quantum simulator with programmable random disorder
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Dynamical quantum phase transitions: a review
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Observation of a dynamical topological phase transition
• 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
• Conformal field theory out of equilibrium: a review
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Transition times in the Landau-Zener model
• Information Scrambling and Loschmidt Echo
• Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
• 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
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Loschmidt Echo Revivals: Critical and Noncritical
• Floquet dynamical quantum phase transitions
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Entanglement view of dynamical quantum phase transitions
• Loschmidt echo and the many-body orthogonality catastrophe in a qubit-coupled Luttinger liquid
• Relaxation, pre-thermalization and diffusion in a noisy Quantum Ising Chain
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Floquet dynamical phase transition and entanglement spectrum
• 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
• Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
• Dynamical quantum phase transitions in discrete time crystals
• Out-of-equilibrium phase diagram of long-range superconductors
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• Dynamical Topological Quantum Phase Transitions at Criticality
• Loschmidt echo and dynamical fidelity in periodically driven quantum systems
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Dynamical quantum phase transitions in the quantum Potts 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 Extended Transverse Ising Models
• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
• Dissipative Floquet Dynamical Quantum Phase Transition
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Dynamical quantum phase transition from a critical quantum quench
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Dynamical and excited-state quantum phase transitions in collective systems
• Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
• Dynamical quantum phase transition in a system of non-interacting bosons
• Dynamical Topological Phase Transition in a Bose-Einstein Condensate
• Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
• Engineering Floquet Dynamical Quantum Phase Transition
• Loschmidt Echo in Many-Body Localized Phase
• Light-cone velocities after a global quench in a non-interacting model
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Topological dynamical quantum phase transition in a quantum skyrmion phase
• Many-body dynamical phase transition in quasi-periodic potential
• 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
• Dynamical singularity of the rate function for quench dynamics in finite-size quantum systems
• Anomalous correlation-induced dynamical phase transitions
• Entanglement and precession in two-dimensional dynamical quantum phase transitions
• Thermodynamic Properties of the One-Dimensional Extended Quantum Compass Model in the Presence of a Transverse Field
• Cusps in the quench dynamics of a Bloch state
• Quench dynamics and scaling laws in topological nodal loop semimetals
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Sudden jumps and plateaus in the quench dynamics of a Bloch state
• Lindblad master equation approach to the dissipative quench dynamics of planar superconductors
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Dissipation driven dynamical topological phase transitions in two-dimensional superconductors
• Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
• Return amplitude after a quantum quench in the XY chain
• Complex dynamics approach to dynamical quantum phase transitions: the Potts model
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• Entanglement dynamics and phase transitions of the Floquet cluster spin chain
• Dynamical quantum phase transition in diamond: applications in quantum metrology
• Quantum lower and upper speed limits
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Disorder-induced dynamical Griffiths singularities after certain quantum quenches
• Exotic signature of dynamical quantum phase transition in the time evolution of engineered initial state
• Localizing genuine multiparty entanglement in noisy stabilizer states

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• Dynamics of decoherence in a noisy driven environment
• Loschmidt echo zeros in finite-size quantum systems with linear quench
• Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models
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