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Title: 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:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy; Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics
  2. City Univ. of New York (CUNY), NY (United States)
  3. 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.
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Friedman, Aaron J., Gopalakrishnan, Sarang, & Vasseur, Romain. Integrable Many-Body Quantum Floquet-Thouless Pumps. United States. https://doi.org/10.1103/PhysRevLett.123.170603
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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.
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@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}
}
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https://doi.org/10.1103/PhysRevLett.123.170603
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Cited by: 3 works
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Figures / Tables:

FIG. 1 FIG. 1: Chiral quasiparticles in the DFFA model. (a) Dispersion relations showing the (bare) single-particle Floquet quasi-energies $ε$($k$) for both + and − quasiparticles, for $λ$ = 0.3 (solid lines) and $λ$ = 0.65 (dashed lines). Both bands are topological (chiral) as they wrap around the periodic quasi-energy direction, andmore » can only exist in a periodically driven system. Note that for $λ$ = 0.65, the ±-particles can be left(right)-moving for some range of momenta. (b) Soliton gas picture. The scattering events in the DFFA model factorize onto simple two-body processes, which semi-classically correspond to a displacement $∆x$ = ±1 after a collision, independently of the momenta of the quasiparticles.« less
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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

Pre-thermal phases of matter protected by time-translation symmetry
text, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2017

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text, January 2017

Analytic solution of the Domain Wall non-equilibrium stationary state
text, January 2017

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text, January 2017

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text, January 2017

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text, January 2017

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text, January 2018

Operator Entanglement in Interacting Integrable Quantum Systems: the Case of the Rule 54 Chain
text, January 2019

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text, January 2006

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