Integrable many-body quantum Floquet-Thouless pumps
arXiv:1905.03265 · doi:10.1103/PhysRevLett.123.170603
Abstract
We construct an interacting integrable Floquet model featuring quasiparticle excitations with topologically nontrivial chiral dispersion. This model is a fully quantum generalization of an integrable classical cellular automaton. We write down and solve the Bethe equations for the generalized quantum model, and show that these take on a particularly simple form that allows for an exact solution: essentially, the quasiparticles behave like interacting hard rods. The generalized thermodynamics and hydrodynamics of this model follow directly. Although the model is interacting, its unusually simple structure allows us to construct operators that spread with no butterfly effect; this construction does not seem to be possible in other interacting integrable systems. This model illustrates the existence a new class of exactly solvable, interacting quantum systems specific to the Floquet setting.
arXiv comment4+epsilon pages main text, 12 pages supplementary material
References in corpus (97)
- Quantum Computing in the NISQ era and beyond
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- A bound on chaos
- Experimental realisation of the topological Haldane model
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Floquet Topological Insulator in Semiconductor Quantum Wells
- The many-body localization phase transition
- Photovoltaic Hall effect in graphene
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Topological characterization of periodically-driven quantum systems
- Atomic quantum gases in periodically driven optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Observation of a Discrete Time Crystal
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Generalized Gibbs ensemble in integrable lattice models
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Discrete time crystals: rigidity, criticality, and realizations
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Universal dynamics and renormalization in many body localized systems
- Area laws in a many-body localized state and its implications for topological order
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Spectral signatures of many-body localization with interacting photons
- Localization protected quantum order
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Exponentially slow heating in periodically driven many-body systems
- Fate of many-body localization under periodic driving
- Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
- Generalized HydroDynamics on an Atom Chip
- Hydrodynamic Diffusion in Integrable Systems
- Topological singularities and the general classification of Floquet-Bloch systems
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Soliton gases and generalized hydrodynamics
- Pre-thermal phases of matter protected by time-translation symmetry
- Disorder-induced Floquet Topological Insulators
- The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
- "Light-cone" dynamics after quantum quenches in spin chains
- Floquet engineering with quasienergy bands of periodically driven optical lattices
- Solvable Hydrodynamics of Quantum Integrable Systems
- Classification of Interacting Topological Floquet Phases in One Dimension
- Periodic thermodynamics of isolated systems
- Far-from-equilibrium spin transport in Heisenberg quantum magnets
- Classification of topological phases in periodically driven interacting systems
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
- Microscopic origin of ideal conductivity in integrable quantum models
- Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- 1D Many-body localized Floquet systems II: Symmetry-Broken phases
- Out-of-time-ordered correlators in quantum Ising chain
- Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
- Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
- A note on generalized hydrodynamics: inhomogeneous fields and other concepts
- Operator Entanglement in Interacting Integrable Quantum Systems: the Case of the Rule 54 Chain
- Velocity-dependent Lyapunov exponents in many-body quantum, semi-classical, and classical chaos
- Drude Weight for the Lieb-Liniger Bose Gas
- Critical Time Crystals in Dipolar Systems
- Chiral Floquet Phases of Many-body Localized Bosons
- Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
- Integrable Trotterization: Local Conservation Laws and Boundary Driving
- Enhancement and sign change of magnetic correlations in a driven quantum many-body system
- Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
- Abelian Floquet symmetry-protected topological phases in one dimension
- Ergodic properties of a generic non-integrable quantum many-body system in thermodynamic limit
- Operator growth and eigenstate entanglement in an interacting integrable Floquet system
- Floquet topological phases with symmetry in all dimensions
- Exact large-scale correlations in integrable systems out of equilibrium
- Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
- Integrable Floquet dynamics
- Topological Floquet-Thouless energy pump
- Exact time-correlation functions of quantum Ising chain in a kicking transversal magnetic field
- Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods
- Emergent prethermalization signatures in out-of-time ordered correlations
- Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
- Integrability of a deterministic cellular automaton driven by stochastic boundaries
- On Classical Integrability of the Hydrodynamics of Quantum Integrable Systems
- Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
- Universal chiral quasi-steady states in periodically driven many-body systems
- Cellular Automata and Ultra-Discrete Painlevé Equations
- Spin polarization through Floquet resonances in a driven central spin model
- Exact matrix product decay modes of a boundary driven cellular automaton
- Disordered Chern insulator with a two step Floquet drive
- Integrable Floquet QFT: Elasticity and factorization under periodic driving
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- Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
- Correlation functions and transport coefficients in generalised hydrodynamics
- Microscopic origin of the quantum Mpemba effect in integrable systems
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
- Rule 54: Exactly solvable model of nonequilibrium statistical mechanics
- Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
- Dynamics of charge fluctuations from asymmetric initial states
- Correlations and commuting transfer matrices in integrable unitary circuits
- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- A Yang-Baxter integrable cellular automaton with a four site update rule
- -deformed conformal field theories out of equilibrium
- Exact solution of the Floquet-PXP cellular automaton
- Matrix product state of multi-time correlations
- Diffusion from Convection
- Thermal transport in -deformed conformal field theories: from integrability to holography
- Non-equilibrium dynamics of symmetry-resolved entanglement and entanglement asymmetry: Exact asymptotics in Rule 54
- Space-like dynamics in a reversible cellular automaton
- Slow dynamics and large deviations in classical stochastic Fredkin chains
- Integrable nonunitary quantum circuits
- Integrable deformations of superintegrable quantum circuits
- An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
- Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumping
- First-Principles Demonstration of Non-adiabatic Thouless Pumping of Electrons in A Molecular System
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- Entanglement dynamics and phase transitions of the Floquet cluster spin chain
- Reversible Cellular Automata as Integrable Interactions Round-a-Face: Deterministic, Stochastic, and Quantized
- The Fredkin staircase: An integrable system with a finite-frequency Drude peak
- Integrable spin chains and cellular automata with medium range interaction
- Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
- Exact solution of the Rule 150 reversible cellular automaton
- Molecular Control of Floquet Topological Phase in Non-adiabatic Thouless Pumping
- Hopf algebras and solvable unitary circuits
- Operator spreading in quantum hardcore gases
- Topological Thouless pumping in arrays of coupled spin chains
- Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
- Superintegrable cellular automata and dual unitary gates from Yang-Baxter maps
- Universal thermalization dynamics in (1+1)d QFTs
- Entanglement dynamics and ergodicity breaking in a quantum cellular automaton