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Title: Absence of thermalization in finite isolated interacting Floquet systems

Journal Article · · Physical Review B
 [1];  [2];  [3];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst. and Joint Center for Quantum Information and Computer Science
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division; Univ. of California, Berkeley, CA (United States). Dept. of Physics; Univ. of Texas at Dallas, Richardson, TX (United States)
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Conventional wisdom suggests that the long time behavior of isolated interacting periodically driven (Floquet) systems is a featureless maximal entropy state characterized by an infinite temperature. Efforts to thwart this uninteresting fixed point include adding sufficient disorder to realize a Floquet many-body localized phase or working in a narrow region of drive frequencies to achieve glassy non-thermal behavior at long time. Here we show that in clean systems the Floquet eigenstates can exhibit non-thermal behavior due to finite system size. We consider a one-dimensional system of spinless fermions with nearest-neighbor interactions where the interaction term is driven. Interestingly, even with no static component of the interaction, the quasienergy spectrum contains gaps and a significant fraction of the Floquet eigenstates, at all quasienergies, have non-thermal average doublon densities. Finally, we show that this non-thermal behavior arises due to emergent integrability at large interaction strength and discuss how the integrability breaks down with power-law dependence on system size.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1435129
Alternate ID(s):
OSTI ID: 1418397
Journal Information:
Physical Review B, Vol. 97, Issue 1; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 31 works
Citation information provided by
Web of Science

References (111)

Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model journal November 2015
Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields journal August 2014
Topological characterization of periodically driven quantum systems journal December 2010
Equilibrium states of generic quantum systems subject to periodic driving journal July 2014
Thermalization and its mechanism for generic isolated quantum systems journal April 2008
Relaxation and Prethermalization in an Isolated Quantum System journal September 2012
Generalized Gibbs ensemble in integrable lattice models journal June 2016
Recent progress in many-body localization: Recent progress in many-body localization journal July 2017
Effects of interactions on periodically driven dynamically localized systems journal January 2017
Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems journal September 2010
Floquet Topological Order in Interacting Systems of Bosons and Fermions journal March 2017
Occupation of topological Floquet bands in open systems journal June 2015
Floquet topological insulator in semiconductor quantum wells journal March 2011
Majorana Fermions in Equilibrium and in Driven Cold-Atom Quantum Wires journal June 2011
Direct observation of effective ferromagnetic domains of cold atoms in a shaken optical lattice journal October 2013
Colloquium : Nonequilibrium dynamics of closed interacting quantum systems journal August 2011
Heating and many-body resonances in a periodically driven two-band system journal April 2016
Observation of discrete time-crystalline order in a disordered dipolar many-body system journal March 2017
Periodic Steady Regime and Interference in a Periodically Driven Quantum System journal December 2012
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering journal March 2015
Ground-State Energies of Spinless Free Fermions and Hard-Core Bosons journal September 2013
Floquet Time Crystals journal August 2016
Many-body energy localization transition in periodically driven systems journal June 2013
Prethermal Phases of Matter Protected by Time-Translation Symmetry journal March 2017
Chiral Floquet Phases of Many-Body Localized Bosons journal December 2016
Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields journal March 2016
The open XXZ -chain: bosonization, the Bethe ansatz and logarithmic corrections journal January 2006
Floquet topological phases with symmetry in all dimensions journal May 2017
Quantum chaos and thermalization in gapped systems journal July 2010
Ultrafast and reversible control of the exchange interaction in Mott insulators journal March 2015
Partial breakdown of quantum thermalization in a Hubbard-like model journal February 2017
Periodically driven ergodic and many-body localized quantum systems journal February 2015
Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices journal October 2013
Prethermal time crystals in a one-dimensional periodically driven Floquet system journal September 2017
Adiabatic perturbation theory and geometry of periodically-driven systems journal May 2017
Classification of topological phases in periodically driven interacting systems journal May 2016
Quasi-Many-Body Localization in Translation-Invariant Systems journal December 2016
Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system journal April 2017
Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices journal October 2013
Effective Hamiltonians for periodically driven systems journal July 2003
Discrete Time Crystals: Rigidity, Criticality, and Realizations journal January 2017
Dissipative Floquet topological systems journal November 2014
Abelian Floquet symmetry-protected topological phases in one dimension journal September 2016
Crossover from adiabatic to sudden interaction quenches in the Hubbard model: prethermalization and non-equilibrium dynamics journal May 2010
Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems journal July 2013
Probing and controlling spin chirality in Mott insulators by circularly polarized laser journal July 2017
Prethermalization in quenched spinor condensates journal August 2011
Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench journal March 2010
Localization of interacting fermions at high temperature journal April 2007
Disorder-Free Localization journal June 2017
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics journal May 2016
Periodic Thermodynamics of Isolated Quantum Systems journal April 2014
Photonic Floquet topological insulators journal April 2013
Photovoltaic Hall effect in graphene journal February 2009
Thermalization after an Interaction Quench in the Hubbard Model journal July 2009
Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths journal December 2015
Radical chiral Floquet phases in a periodically driven Kitaev model and beyond journal December 2017
Prethermalization journal September 2004
Quench Dynamics and Nonequilibrium Phase Diagram of the Bose-Hubbard Model journal April 2007
Many-Body Localization in Periodically Driven Systems journal April 2015
Periodically driving a many-body localized quantum system journal January 2017
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems journal June 2017
Phase Structure of Driven Quantum Systems journal June 2016
Experimental realization of the topological Haldane model with ultracold fermions journal November 2014
Floquet systems coupled to particle reservoirs journal May 2015
Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump journal May 2016
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems journal April 2016
Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels journal December 2011
Many-Body Localization and Thermalization in Quantum Statistical Mechanics journal March 2015
Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems journal December 2014
Exact ground states and correlation functions of chain and ladder models of interacting hardcore bosons or spinless fermions journal October 2009
Classification of Interacting Topological Floquet Phases in One Dimension journal October 2016
Quantum statistical mechanics in a closed system journal February 1991
Chaos and quantum thermalization journal August 1994
Observation of a discrete time crystal journal March 2017
Dynamically enriched topological orders in driven two-dimensional systems journal April 2017
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases journal June 2016
Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases journal June 2016
Fate of Many-Body Localization Under Periodic Driving journal July 2015
Ultrafast and reversible control of the exchange interaction in Mott insulators text January 2015
Photonic Floquet topological insulators conference September 2013
Periodically driving a many-body localized quantum system text January 2017
Photovoltaic Hall effect in graphene text January 2008
Exact ground states and correlation functions of chain and ladder models of interacting hardcore bosons or spinless fermions text January 2009
Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench text January 2010
Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems text January 2010
Topological characterization of periodically-driven quantum systems text January 2010
Periodic steady state and interference in a periodically driven quantum system text January 2012
Photonic Floquet Topological Insulators text January 2012
Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems text January 2012
Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices text January 2013
Equilibrium states of generic quantum systems subject to periodic driving text January 2014
Many body localization and thermalization in quantum statistical mechanics text January 2014
Fate of many-body localization under periodic driving text January 2014
Occupation of topological Floquet bands in open systems text January 2015
Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model text January 2015
From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics text January 2015
Classification of topological phases in periodically driven interacting systems text January 2016
Generalized Gibbs ensemble in integrable lattice models text January 2016
Partial breakdown of quantum thermalization in a Hubbard-like model text January 2016
Pre-thermal phases of matter protected by time-translation symmetry text January 2016
Periodically Driving a Many-Body Localized Quantum System text January 2016
Discrete time crystals: rigidity, criticality, and realizations text January 2016
Effects of interactions on periodically driven dynamically localized systems text January 2016
Observation of a Discrete Time Crystal text January 2016
Dynamically enriched topological orders in driven two-dimensional systems text January 2016
Floquet topological phases with symmetry in all dimensions text January 2016
Disorder-Free Localization text January 2017
Localization of interacting fermions at high temperature text January 2006
Chaos and Quantum Thermalization text January 1994
Effective Hamiltonians for periodically driven systems text January 2003

Cited By (8)

Stability and pre-thermalization in chains of classical kicked rotors journal October 2018
Ultrafast control of spin interactions in honeycomb antiferromagnetic insulators journal August 2019
Ergodic-localized junctions in periodically driven systems journal December 2018
Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator journal November 2019
Onset of Floquet Thermalisation text January 2018
Steady state of interacting Floquet insulators text January 2018
Ultrafast Control of Spin Interactions in Honeycomb Antiferromagnetic Insulators text January 2019
Bosonic fractional quantum Hall states in driven optical lattices text January 2019

Figures / Tables (13)

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