Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators

Abstract

We analyze signatures of the dynamical quantum phase transitions in physical observables. In particular, we show that both the expectation value and various out of time order correlation functions of the finite length product or string operators develop cusp singularities following quench protocols, which become sharper and sharper as the string length increases. We illustrated our ideas analyzing both integrable and nonintegrable one-dimensional Ising models showing that these transitions are robust both to the details of the model and to the choice of the initial state.

arXiv comment14 pages, 8 captioned figures. Title changed and supplementary added

References in corpus (65)

• Nonequilibrium dynamics of closed interacting quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Quantum many-body systems out of equilibrium
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Quantum Quench in the Transverse Field Ising Chain
• Dynamical quantum phase transitions: a review
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Observation of a dynamical topological phase transition
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
• 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
• Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Dynamical phase diagram of spin chains with long-range interactions
• Quantum phase transitions in transverse field spin models: from statistical physics to quantum information
• 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
• First order dynamical phase transitions
• Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
• Dynamics after a sweep through a quantum critical point
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Mixed state dynamical quantum phase transition and emergent topology
• Dynamical Topological Quantum Phase Transitions for Mixed States
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Locality, Quantum Fluctuations, and Scrambling
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
• Entanglement view of dynamical quantum phase transitions
• Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
• Floquet dynamical phase transition and entanglement spectrum
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• 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
• Non-analytic behavior of the Loschmidt echo in XXZ spin chains: exact results
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
• Detection of quantum phases via out-of-time-order correlators
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Probing ground-state phase transitions through quench dynamics
• Local measures of dynamical quantum phase transitions
• Edge exponents in work statistics out of equilibrium and dynamical phase transitions from scattering theory in one dimensional gapped systems
• Signatures of quantum phase transitions after quenches in quantum chaotic one-dimensional systems
• Controlling Dynamical Quantum Phase Transitions
• Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
• Sensitivity to small perturbations in systems of large quantum spins
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Locating topological phase transitions using nonequilibrium signatures in local bulk observables
• Quantum echo dynamics in the Sherrington-Kirkpatrick model
• Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
• Constructing effective free energies for dynamical quantum phase transitions in the transverse-field Ising chain
• Sudden jumps and plateaus in the quench dynamics of a Bloch state
• Locating quantum critical points with Kibble-Zurek quenches
• Dynamical quantum phase transitions

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• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Topological dynamical quantum phase transition in a quantum skyrmion phase
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Loschmidt amplitude spectrum in dynamical quantum phase transitions
• Entanglement and precession in two-dimensional dynamical quantum phase transitions
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Dynamical quantum phase transitions following a noisy quench
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Quantum spin fluctuations in dynamical quantum phase transitions
• Late-time critical behavior of local string-like observables under quantum quenches
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Scrambling under quench
• Pausing ultrafast melting by timed multiple femtosecond-laser pulses
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Subsystem Evolution Speed as Indicator of Relaxation
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Distinguishing dynamical quantum criticality through local fidelity distances
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• Characterizing dynamical phase transitions in a spinor Bose-Einstein condensate via quantum and semiclassical analyses