Integrable Many-Body Quantum Floquet-Thouless Pumps
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. Here, 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, providing an exact description of interacting chiral particles in the thermodynamic limit. 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 possible in other interacting integrable systems. This model exemplifies a new class of exactly solvable, interacting quantum systems specific to the Floquet setting.
- Authors:
-
- Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy; Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics
- City Univ. of New York (CUNY), NY (United States)
- Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1593349
- Grant/Contract Number:
- SC0019168; DGE-1321846; DMR-1455366; DMR-1653271
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 123; Journal Issue: 17; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Floquet systems; integrable systems; cellular automata
Citation Formats
Friedman, Aaron J., Gopalakrishnan, Sarang, and Vasseur, Romain. Integrable Many-Body Quantum Floquet-Thouless Pumps. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.170603.
Friedman, Aaron J., Gopalakrishnan, Sarang, & Vasseur, Romain. Integrable Many-Body Quantum Floquet-Thouless Pumps. United States. https://doi.org/10.1103/PhysRevLett.123.170603
Friedman, Aaron J., Gopalakrishnan, Sarang, and Vasseur, Romain. Wed .
"Integrable Many-Body Quantum Floquet-Thouless Pumps". United States. https://doi.org/10.1103/PhysRevLett.123.170603. https://www.osti.gov/servlets/purl/1593349.
@article{osti_1593349,
title = {Integrable Many-Body Quantum Floquet-Thouless Pumps},
author = {Friedman, Aaron J. and Gopalakrishnan, Sarang and Vasseur, Romain},
abstractNote = {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. Here, 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, providing an exact description of interacting chiral particles in the thermodynamic limit. 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 possible in other interacting integrable systems. This model exemplifies a new class of exactly solvable, interacting quantum systems specific to the Floquet setting.},
doi = {10.1103/PhysRevLett.123.170603},
journal = {Physical Review Letters},
number = 17,
volume = 123,
place = {United States},
year = {2019},
month = {10}
}
Web of Science
Figures / Tables:

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Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
text, January 2017
- Ilievski, Enej; De Nardis, Jacopo
- arXiv
On Classical Integrability of the Hydrodynamics of Quantum Integrable Systems
text, January 2017
- Bulchandani, Vir B.
- arXiv
Analytic solution of the Domain Wall non-equilibrium stationary state
text, January 2017
- Collura, Mario; De Luca, Andrea; Viti, Jacopo
- arXiv
Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods
text, January 2017
- Cao, Xiangyu; Bulchandani, Vir B.; Moore, Joel E.
- arXiv
Topological Floquet-Thouless energy pump
text, January 2017
- Kolodrubetz, Michael H.; Nathan, Frederik; Gazit, Snir
- arXiv
Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
text, January 2017
- Bertini, Bruno; Piroli, Lorenzo
- arXiv
Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
text, January 2017
- Caux, Jean-Sébastien; Doyon, Benjamin; Dubail, Jérôme
- arXiv
Operator growth and eigenstate entanglement in an interacting integrable Floquet system
text, January 2018
- Gopalakrishnan, Sarang
- arXiv
Operator Entanglement in Interacting Integrable Quantum Systems: the Case of the Rule 54 Chain
text, January 2019
- Alba, Vincenzo; Dubail, Jerome; Medenjak, Marko
- arXiv
Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
text, January 2005
- Basko, D. M.; Aleiner, I. L.; Altshuler, B. L.
- arXiv
Localization of interacting fermions at high temperature
text, January 2006
- Oganesyan, Vadim; Huse, David A.
- arXiv
Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
text, January 1997
- Prosen, Tomaz
- arXiv
Ergodic properties of a generic non-integrable quantum many-body system in thermodynamic limit
text, January 1998
- Prosen, Tomaz
- arXiv