Effective metal-insulator non-equilibrium quantum phase transition
arXiv:1809.01035 · doi:10.1103/PhysRevB.98.214306
Abstract
We consider the steady state behavior of observables in the Su-Schrieffer-Heeger model and in the one dimensional transverse field quantum Ising model after a sudden quantum quench of the parameter controlling the gap. In the thermodynamic limit, and for times , we find non-analyticities even in simple local observables as a function of the quench parameter, that is, a non-equilibrium quantum phase transition. We trace the appearance of this non-equilibrium quantum phase transition to an effective metal-insulator transition which occurs on the level of the generalized Gibbs Ensemble (describing the steady-state of the equilibrated system). Studying whether these transitions are robust, we find, in the paradigmatic case of the SSH model, that they persist for both quantum quench protocols of finite duration in time as well as thermal initial states, while they are washed out in the presence of fermion-fermion interactions and for finite system size.
arXiv comment12 pages, 6 figures
References in corpus (56)
- The density-matrix renormalization group in the age of matrix product states
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Quantum many-body scars
- Many-body localization in a quantum simulator with programmable random disorder
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Quantum Quenches in Extended Systems
- Experimental Observation of a Generalized Gibbs Ensemble
- The Luttinger model following a sudden interaction switch-on
- Universal dynamics and renormalization in many body localized systems
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Dynamical phase transition in correlated fermionic lattice systems
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Dephasing and the steady state in quantum many-particle systems
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Recent progress in many-body localization
- Parafermionic edge zero modes in Z_n-invariant spin chains
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
- Prethermalization and thermalization in models with weak integrability breaking
- An introduction to integrable techniques for one-dimensional quantum systems
- Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
- Critical thermalization of a disordered dipolar spin system in diamond
- Interacting Fibonacci anyons in a Rydberg gas
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
- Anomalous dynamical phase in quantum spin chains with long-range interactions
- Time-Reversal-Invariant Fractional Josephson Effect
- Dynamical transitions and quantum quenches in mean-field models
- Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
- Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
- Quantum quench phase diagrams of an s-wave BCS-BEC condensate
- Quantum quenches as classical critical films
- Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
- Extending the range of real time density matrix renormalization group simulations
- Stationary entropies after a quench from excited states in the Ising chain
- AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
- Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
- The chiral anomaly in real space
- Fractional Wigner crystal in the helical Luttinger liquid
- Out of equilibrium density dynamics of a quenched fermionic system
- Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
- Locating topological phase transitions using nonequilibrium signatures in local bulk observables
- Spin textures of strongly correlated spin Hall quantum dots
- Fractional charge oscillations in quantum spin Hall quantum dots
- Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
- Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot