Quench dynamics and zero-energy modes: the case of the Creutz model

Abstract

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model $-$ describing a system of spinless fermions hopping on a two-leg ladder pierced by a magnetic field $-$ the gap closing at the quantum phase transition between the two topologically nontrivial phases of the model can be moved by tuning the hopping amplitudes. We take advantage of this property to examine the nonequilibrium dynamics of the model after a sudden quench of the magnetic flux through the plaquettes of the ladder. For a quench to one of the equilibrium quantum critical points we find that the revival period of the Loschmidt echo $-$ measuring the overlap between initial and time-evolved states $-$ is controlled by the gap closing zero-energy modes. In particular, and contrary to expectations, the revival period of the Loschmidt echo for a finite ladder does not scale linearly with size but exhibits jumps determined by the presence or absence of zero-energy modes. We further investigate the conditions for the appearance of dynamical quantum phase transitions in the model and find that, for a quench {\em to} an equilibrium critical point, such transitions occur only for ladders of sizes which host zero-energy modes. Exploiting concepts from quantum thermodynamics, we show that the average work and the irreversible work per lattice site exhibit a weak dependence on the size of the system after a quench {\em across} an equilibrium critical point, suggesting that quenching into a different phase induces effective correlations among the particles.

References in corpus (78)

• Many-Body Physics with Ultracold Gases
• A nonequilibrium equality for free energy differences
• Classification of topological quantum matter with symmetries
• Nonequilibrium dynamics of closed interacting quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Time-dependence of correlation functions following a quantum quench
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• 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
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Dynamics of Loschmidt echoes and fidelity decay
• Environment-independent decoherence rate in classically chaotic systems
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Observation of a dynamical topological phase transition
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
• Measuring the characteristic function of the work distribution
• 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
• Boundary energy and boundary states in integrable quantum field theories
• End states, ladder compounds, and domain wall fermions
• Decoherence induced by interacting quantum spin baths
• Dynamical phase diagram of spin chains with long-range interactions
• Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
• Topology induced anomalous defect production by crossing a quantum critical point
• Emergent thermodynamics in a quenched quantum many-body system
• Anomalous dynamical phase in quantum spin chains with long-range interactions
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Dynamics after a sweep through a quantum critical point
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Disentanglement in a quantum critical environment
• Nonsymmorphic symmetry-required band crossings in topological semimetals
• Mixed state dynamical quantum phase transition and emergent topology
• Dynamical Topological Quantum Phase Transitions for Mixed States
• Non-Markovianity, Loschmidt echo and criticality: a unified picture
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Loschmidt Echo Revivals: Critical and Noncritical
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Universal decoherence induced by an environmental quantum phase transition
• Direct observation of quantum criticality in Ising spin chains
• Exact infinite-time statistics of the Loschmidt echo for a quantum quench
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• Disentanglement of two qubits coupled to an XY spin chain: Role of quantum phase transition
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• 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
• Universality and robustness of revivals in the transverse field XY model
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Phase diagram and quench dynamics of the Cluster-XY spin chain
• Fate of Majorana fermions and Chern numbers after a quantum quench
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• Dynamical delocalization of Majorana edge states by sweeping across a quantum critical point
• Dynamical phase transitions, time-integrated observables and geometry of states
• Dynamical quantum phase transitions in the quantum Potts chain
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Characterization of topological phase transitions via topological properties of transition points
• Dynamic finite-size scaling after a quench at quantum transitions
• Quantum Charge Pumps with Topological Phases in Creutz Ladder
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Decoherence by engineered quantum baths
• Decoherence in the dynamical quantum phase transition of the transverse Ising chain
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Nonequilibrium critical scaling from quantum thermodynamics
• Dynamic sensitivity of phton-dressed atomic ensenmble with quantum criticality
• On the possibility of complete revivals after quantum quenches to a critical point
• Measurement quench in many-body systems
• One-half of the Kibble-Zurek quench followed by free evolution
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Study of Loschmidt Echo for two-dimensional Kitaev model

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• Floquet dynamical quantum phase transitions
• Coherent and dissipative dynamics at quantum phase transitions
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• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
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• Flat-band localization in Creutz superradiance lattices
• Topological Invariants for Quantum Quench Dynamics from Unitary Evolution
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• Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench
• Determination of dynamical quantum phase transitions in strongly correlated many-body systems using Loschmidt cumulants
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• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
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• Finite temperature dynamical quantum phase transition in a non-Hermitian system
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• Engineering Floquet Dynamical Quantum Phase Transition
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
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• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
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• Non-linear current and dynamical quantum phase transitions in the flux-quenched Su-Schrieffer-Heeger model
• Dynamical singularity of the rate function for quench dynamics in finite-size quantum systems
• Loschmidt amplitude spectrum in 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
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
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• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
• Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Return amplitude after a quantum quench in the XY chain
• Quantum spin fluctuations in dynamical quantum phase transitions
• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Detecting exceptional points through dynamics in non-Hermitian systems
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Dynamical quantum phase transition in diamond: applications in quantum metrology
• Topological chiral currents in the Gross-Neveu model extension
• Topological properties of a periodically driven Creutz ladder
• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
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• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Exotic signature of dynamical quantum phase transition in the time evolution of engineered initial state
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• Quantum coherence assisted dynamical phase transition
• Dynamical quantum phase transitions in Stark quantum spin chains
• Recognizing critical lines via entanglement in non-Hermitian systems
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
• Effect of long-range hopping on dynamic quantum phase transitions of an exactly solvable free-fermion model: Nonanalyticities at almost all times
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models
• Higher order topology in a Creutz ladder
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Characterizing dynamical phase transitions in a spinor Bose-Einstein condensate via quantum and semiclassical analyses