Title: Universal transport in periodically driven systems without long-lived quasiparticles

Journal Article · · Physical Review Research

An intriguing regime of universal charge transport at high entropy density has been proposed for periodically driven interacting one-dimensional systems with Bloch bands separated by a large single-particle band gap. For weak interactions, a simple picture based on well-defined Floquet quasiparticles suggests that the system should host a quasisteady state current that depends only on the populations of the system's Floquet-Bloch bands and their associated quasienergy winding numbers. Here we show that such topological transport persists into the strongly interacting regime where the single-particle lifetime becomes shorter than the drive period. Analytically, we show that the value of the current is insensitive to interaction-induced band renormalizations and lifetime broadening when certain conditions are met by the system's nonequilibrium distribution function. We show that these conditions correspond to a quasisteady state. We support these predictions through numerical simulation of a system of strongly interacting fermions in a periodically modulated chain of Sachdev-Ye-Kitaev dots. Our paper establishes universal transport at high entropy density as a robust far from equilibrium topological phenomenon, which can be readily realized with cold atoms in optical lattices. Published by the American Physical Society 2024

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0019166
OSTI ID:
2282806
Journal Information:
Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 6; ISSN 2643-1564; ISSN PPRHAI
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (148)

SYK wormhole formation in real time journal April 2021
Quantum quenches and thermalization in SYK models journal July 2019
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems journal June 2017
Statistical mechanics of anyons journal January 1985
Anyons in an exactly solved model and beyond journal January 2006
Anyons and the quantum Hall effect—A pedagogical review journal January 2008
Periodically driven ergodic and many-body localized quantum systems journal February 2015
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems journal April 2016
Fundamental electrical standards and the quantum metrological triangle journal October 2004
Quantum Field Theory of Non-equilibrium States book January 2007
Principles of Condensed Matter Physics book January 1995
Field Theory of Non-Equilibrium Systems book January 2011
Photonic Floquet topological insulators journal April 2013
Experimental realization of the topological Haldane model with ultracold fermions journal November 2014
Observation of a discrete time crystal journal March 2017
Observation of discrete time-crystalline order in a disordered dipolar many-body system journal March 2017
Exploring 4D quantum Hall physics with a 2D topological charge pump journal January 2018
Photonic topological boundary pumping as a probe of 4D quantum Hall physics journal January 2018
Floquet topological insulators for sound journal June 2016
Experimental demonstration of anomalous Floquet topological insulator for sound journal November 2016
Observation of photonic anomalous Floquet topological insulators journal January 2017
Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice journal January 2017
Towards a quantum representation of the ampere using single electron pumps journal January 2012
Towards properties on demand in quantum materials journal October 2017
Partitioning of on-demand electron pairs journal December 2014
Floquet topological insulator in semiconductor quantum wells journal March 2011
Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms journal December 2014
A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice journal December 2015
Topological Thouless pumping of ultracold fermions journal January 2016
Gigahertz quantized charge pumping journal April 2007
Thouless pumping in disordered photonic systems journal October 2020
Electronic Floquet gyro-liquid crystal journal September 2021
Light-induced anomalous Hall effect in graphene journal November 2019
Realization of an anomalous Floquet topological system with ultracold atoms journal June 2020
Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms journal April 2021
Quantized nonlinear Thouless pumping journal August 2021
Giant modulation of optical nonlinearity by Floquet engineering journal December 2021
Band structure engineering and non-equilibrium dynamics in Floquet topological insulators journal May 2020
Time propagation of the Kadanoff–Baym equations for inhomogeneous systems journal June 2009
Periodic table for topological insulators and superconductors
  • Kitaev, Alexei; Lebedev, Vladimir; Feigel’man, Mikhail
  • ADVANCES IN THEORETICAL PHYSICS: Landau Memorial Conference, AIP Conference Proceedings https://doi.org/10.1063/1.3149495
conference January 2009
Ultrafast voltage sampling using single-electron wavepackets journal March 2017
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering journal March 2015
Light-induced gauge fields for ultracold atoms journal November 2014
Topological phases in two-dimensional materials: a review journal May 2016
Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction journal August 1984
Topological singularities and the general classification of Floquet–Bloch systems journal December 2015
High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective journal September 2015
An SYK-like model without disorder journal October 2019
Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time journal May 1965
Ultrafast dynamics of cold Fermi gas after a local quench journal March 2023
Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field journal June 1973
Hierarchy of Floquet gaps and edge states for driven honeycomb lattices journal April 2015
Floquet topological transitions in a driven one-dimensional topological insulator journal August 2015
Floquet-Boltzmann equation for periodically driven Fermi systems journal December 2015
Thermalization and prethermalization in periodically kicked quantum spin chains journal April 2021
Tunable fragile topology in Floquet systems journal March 2021
Quantum Boltzmann equation for strongly correlated electrons journal August 2021
Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath journal September 2021
Quenches and (pre)thermalization in a mixed Sachdev-Ye-Kitaev model journal January 2022
Thermalization of many many-body interacting Sachdev-Ye-Kitaev models journal February 2022
Prethermalization and entanglement dynamics in interacting topological pumps journal May 2022
Quantization of particle transport journal May 1983
Nonadiabatic particle transport in a one-dimensional electron system journal October 1994
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures journal January 1997
Scattering approach to parametric pumping journal October 1998
Quantum charge pumping and electric polarization in Anderson insulators journal July 2007
Photovoltaic Hall effect in graphene journal February 2009
Topological characterization of periodically driven quantum systems journal December 2010
Topological phases of fermions in one dimension journal February 2011
Topological classification of adiabatic processes journal November 2011
Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels journal December 2011
Localization-protected quantum order journal July 2013
Many-body localization and symmetry-protected topological order journal April 2014
Irradiated graphene as a tunable Floquet topological insulator journal September 2014
Dissipative Floquet topological systems journal November 2014
Heating and many-body resonances in a periodically driven two-band system journal April 2016
Classification of topological phases in periodically driven interacting systems journal May 2016
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
Floquet topological phases with symmetry in all dimensions journal May 2017
Periodic table for Floquet topological insulators journal October 2017
Quantum quench of the Sachdev-Ye-Kitaev model journal November 2017
Topological Sachdev-Ye-Kitaev model journal May 2018
Quantized transport and steady states of Floquet topological insulators journal June 2018
Floquet prethermalization in periodically driven classical spin systems journal September 2018
Anomalous Floquet insulators journal May 2019
Remarks on the Sachdev-Ye-Kitaev model journal November 2016
Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models journal February 2017
Equilibrium states of generic quantum systems subject to periodic driving journal July 2014
Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice journal December 2011
Topological States and Adiabatic Pumping in Quasicrystals journal September 2012
Floquet-Bloch Theory and Topology in Periodically Driven Lattices journal May 2013
Clock-Controlled Emission of Single-Electron Wave Packets in a Solid-State Circuit journal November 2013
Floquet Fractional Chern Insulators journal April 2014
Effective Theory of Floquet Topological Transitions journal December 2014
Multiterminal Conductance of a Floquet Topological Insulator journal December 2014
Exponentially Slow Heating in Periodically Driven Many-Body Systems journal December 2015
Phase Structure of Driven Quantum Systems journal June 2016
Floquet Time Crystals journal August 2016
Spin Pumping and Measurement of Spin Currents in Optical Superlattices journal October 2016
Floquet Topological Order in Interacting Systems of Bosons and Fermions journal March 2017
Interaction Dependent Heating and Atom Loss in a Periodically Driven Optical Lattice journal November 2017
Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models journal November 2017
Nonadiabatic Breaking of Topological Pumping journal March 2018
Asymptotic Prethermalization in Periodically Driven Classical Spin Chains journal January 2019
Periodically Driven Sachdev-Ye-Kitaev Models journal March 2020
Topological Field Theory Far from Equilibrium journal June 2020
Realization of Anomalous Floquet Insulators in Strongly Coupled Nanophotonic Lattices journal June 2020
Topological Pumping in a Floquet-Bloch Band journal July 2022
Elementary Excitations of a Linearly Conjugated Diatomic Polymer journal November 1982
Towards a quantum pump of electric charges journal April 1990
Gapless spin-fluid ground state in a random quantum Heisenberg magnet journal May 1993
Real-Time Evolution Using the Density Matrix Renormalization Group journal August 2004
Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition journal March 2020
Observation of Unidirectional Solitonlike Edge States in Nonlinear Floquet Topological Insulators journal December 2021
Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model journal May 2022
Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems journal July 2013
Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems journal December 2014
Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump journal May 2016
Classification of Interacting Topological Floquet Phases in One Dimension journal October 2016
Chiral Floquet Phases of Many-Body Localized Bosons journal December 2016
Universal Chiral Quasisteady States in Periodically Driven Many-Body Systems journal February 2017
Prethermal Phases of Matter Protected by Time-Translation Symmetry journal March 2017
Magnetotransport in a Model of a Disordered Strange Metal journal May 2018
Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models journal July 2018
Topological Phases of Non-Hermitian Systems journal September 2018
Flow Equation Approach to Periodically Driven Quantum Systems journal May 2019
Quantum field-theoretical methods in transport theory of metals journal April 1986
The density-matrix renormalization group journal April 2005
Non-Abelian anyons and topological quantum computation journal September 2008
Berry phase effects on electronic properties journal July 2010
Colloquium: Topological insulators journal November 2010
Topological insulators and superconductors journal October 2011
Colloquium : Artificial gauge potentials for neutral atoms journal November 2011
Single-electron current sources: Toward a refined definition of the ampere journal October 2013
Classification of topological quantum matter with symmetries journal August 2016
Colloquium: Atomic quantum gases in periodically driven optical lattices journal March 2017
Colloquium : Zoo of quantum-topological phases of matter journal December 2017
Topological bands for ultracold atoms journal March 2019
Topological photonics journal March 2019
Floquet metal-to-insulator phase transitions in semiconductor nanowires journal August 2020
Observation of Floquet-Bloch States on the Surface of a Topological Insulator journal October 2013
Pumping Electrons journal March 1999
An Adiabatic Quantum Electron Pump journal March 1999
A Capacitance Standard Based on Counting Electrons journal September 1999
Floquet Engineering of Quantum Materials journal March 2019
Topology and Broken Symmetry in Floquet Systems journal March 2020
Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps journal January 2020