Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures

Abstract

By deriving a general framework and analyzing concrete examples, we demonstrate a class of dynamical quantum phase transitions (DQPTs) in one-dimensional two-band systems going through double-quench processes. When this type of DQPT occurs, the Loschmidt amplitude vanishes and the rate function remains singular after the second quench, meaning the final state continually has no overlap with the initial state. This type of DQPT is named metamorphic DQPT to differentiate it from ordinary DQPTs that only exhibit zero Loschmidt amplitude and singular rate function at discrete time points. The metamorphic DQPTs occur at zero as well as finite temperatures. Our examples of the Su-Schrieffer-Heeger (SSH) model and Kitaev chain illustrate the conditions and behavior of the metamorphic DQPT. Since ordinary DQPTs have been experimentally realized in many systems, similar setups with double quenches will demonstrate the metamorphic DQPT. Our findings thus provide additional controls of dynamical evolution of quantum systems.

arXiv comment9 pages, 5 figures, submitted, title changed

References in corpus (53)

• Many-Body Physics with Ultracold Gases
• Unpaired Majorana fermions in quantum wires
• Nonequilibrium dynamics of closed interacting quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• Quantum many-body systems out of equilibrium
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Direct Measurement of the Zak phase in Topological Bloch Bands
• 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
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• 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
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Universal non-equilibrium properties of dissipative Rydberg gases
• Quantum transport in ultracold atoms
• First order dynamical phase transitions
• Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
• Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
• 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
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Experimental Determination of Dynamical Lee-Yang Zeros
• Dynamical topological invariant after a quantum quench
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
• 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
• Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
• Observation of dynamical phase transitions in a topological nanomechanical system
• Dynamical Topological Quantum Phase Transitions at Criticality
• Dynamical phase transitions, time-integrated observables and geometry of states
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Determination of dynamical quantum phase transitions in strongly correlated many-body systems using Loschmidt cumulants
• Detecting dynamical quantum phase transition via out-of-time-order correlations in a solid-state quantum simulator
• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
• Controlling Dynamical Quantum Phase Transitions
• Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
• Dynamical quantum phase transitions on cross-stitch flat band networks

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