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. doi: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. doi: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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
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 »
All figures and tables
(2 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
journal, August 2014
- Goldman, N.; Dalibard, J.
- Physical Review X, Vol. 4, Issue 3
Colloquium: Atomic quantum gases in periodically driven optical lattices
journal, March 2017
- Eckardt, André
- Reviews of Modern Physics, Vol. 89, Issue 1
Topological characterization of periodically driven quantum systems
journal, December 2010
- Kitagawa, Takuya; Berg, Erez; Rudner, Mark
- Physical Review B, Vol. 82, Issue 23
Critical Time Crystals in Dipolar Systems
journal, July 2017
- Ho, Wen Wei; Choi, Soonwon; Lukin, Mikhail D.
- Physical Review Letters, Vol. 119, Issue 1
Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
journal, August 2019
- Buča, Berislav; Garrahan, Juan P.; Prosen, Tomaž
- Physical Review E, Vol. 100, Issue 2
Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms
journal, May 2016
- Meinert, F.; Mark, M. J.; Lauber, K.
- Physical Review Letters, Vol. 116, Issue 20
Exact Time-Correlation Functions of Quantum Ising Chain in a Kicking Transversal Magnetic Field: Spectral Analysis of the Adjoint Propagator in Heisenberg Picture
journal, January 2000
- Prosen, Tomaž
- Progress of Theoretical Physics Supplement, Vol. 139
Hydrodynamic Diffusion in Integrable Systems
journal, October 2018
- De Nardis, Jacopo; Bernard, Denis; Doyon, Benjamin
- Physical Review Letters, Vol. 121, Issue 16
Integrable Floquet QFT: Elasticity and factorization under periodic driving
journal, January 2018
- Cortes Cubero, Axel
- SciPost Physics, Vol. 5, Issue 3
Generalized Gibbs ensemble in integrable lattice models
journal, June 2016
- Vidmar, Lev; Rigol, Marcos
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Transport in Out-of-Equilibrium Chains: Exact Profiles of Charges and Currents
journal, November 2016
- Bertini, Bruno; Collura, Mario; De Nardis, Jacopo
- Physical Review Letters, Vol. 117, Issue 20
Floquet topological insulator in semiconductor quantum wells
journal, March 2011
- Lindner, Netanel H.; Refael, Gil; Galitski, Victor
- Nature Physics, Vol. 7, Issue 6
Integrable Floquet dynamics
journal, January 2017
- Gritsev, Vladimir; Polkovnikov, Anatoli
- SciPost Physics, Vol. 2, Issue 3
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
journal, March 2015
- Bukov, Marin; D'Alessio, Luca; Polkovnikov, Anatoli
- Advances in Physics, Vol. 64, Issue 2
Floquet engineering with quasienergy bands of periodically driven optical lattices
journal, November 2015
- Holthaus, Martin
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 1
Floquet Time Crystals
journal, August 2016
- Else, Dominic V.; Bauer, Bela; Nayak, Chetan
- Physical Review Letters, Vol. 117, Issue 9
Prethermal Phases of Matter Protected by Time-Translation Symmetry
journal, March 2017
- Else, Dominic V.; Bauer, Bela; Nayak, Chetan
- Physical Review X, Vol. 7, Issue 1
Spectroscopic signatures of localization with interacting photons in superconducting qubits
journal, November 2017
- Roushan, P.; Neill, C.; Tangpanitanon, J.
- Science, Vol. 358, Issue 6367
Chiral Floquet Phases of Many-Body Localized Bosons
journal, December 2016
- Po, Hoi Chun; Fidkowski, Lukasz; Morimoto, Takahiro
- Physical Review X, Vol. 6, Issue 4
Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
journal, March 2016
- Bukov, Marin; Kolodrubetz, Michael; Polkovnikov, Anatoli
- Physical Review Letters, Vol. 116, Issue 12
On classical integrability of the hydrodynamics of quantum integrable systems
journal, October 2017
- Bulchandani, Vir B.
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 43
Large-Scale Description of Interacting One-Dimensional Bose Gases: Generalized Hydrodynamics Supersedes Conventional Hydrodynamics
journal, November 2017
- Doyon, Benjamin; Dubail, Jérôme; Konik, Robert
- Physical Review Letters, Vol. 119, Issue 19
Integrability of a deterministic cellular automaton driven by stochastic boundaries
journal, April 2016
- Prosen, Tomaž; Mejía-Monasterio, Carlos
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 18
Quantization of particle transport
journal, May 1983
- Thouless, D. J.
- Physical Review B, Vol. 27, Issue 10
Classification of topological phases in periodically driven interacting systems
journal, May 2016
- Else, Dominic V.; Nayak, Chetan
- Physical Review B, Vol. 93, Issue 20
Entanglement and thermodynamics after a quantum quench in integrable systems
journal, July 2017
- Alba, Vincenzo; Calabrese, Pasquale
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 30
Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium
journal, December 2016
- Castro-Alvaredo, Olalla A.; Doyon, Benjamin; Yoshimura, Takato
- Physical Review X, Vol. 6, Issue 4
Cellular automata and ultra-discrete Painlevé equations
journal, February 1997
- Grammaticos, B.; Ohta, Y.; Ramani, A.
- Physics Letters A, Vol. 226, Issue 1-2
Universal Chiral Quasisteady States in Periodically Driven Many-Body Systems
journal, February 2017
- Lindner, Netanel H.; Berg, Erez; Rudner, Mark S.
- Physical Review X, Vol. 7, Issue 1
Area laws in a many-body localized state and its implications for topological order
journal, September 2013
- Bauer, Bela; Nayak, Chetan
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 09
Integrable cellular automata
journal, September 1992
- Bruschi, M.; Santini, P. M.; Ragnisco, O.
- Physics Letters A, Vol. 169, Issue 3
Abelian Floquet symmetry-protected topological phases in one dimension
journal, September 2016
- Roy, Rahul; Harper, Fenner
- Physical Review B, Vol. 94, Issue 12
Velocity-dependent Lyapunov exponents in many-body quantum, semiclassical, and classical chaos
journal, October 2018
- Khemani, Vedika; Huse, David A.; Nahum, Adam
- Physical Review B, Vol. 98, Issue 14
Colloquium : Many-body localization, thermalization, and entanglement
journal, May 2019
- Abanin, Dmitry A.; Altman, Ehud; Bloch, Immanuel
- Reviews of Modern Physics, Vol. 91, Issue 2
Many-body localization phase transition
journal, November 2010
- Pal, Arijeet; Huse, David A.
- Physical Review B, Vol. 82, Issue 17
Localization of interacting fermions at high temperature
journal, April 2007
- Oganesyan, Vadim; Huse, David A.
- Physical Review B, Vol. 75, Issue 15
Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
journal, December 2018
- Gopalakrishnan, Sarang; Huse, David A.; Khemani, Vedika
- Physical Review B, Vol. 98, Issue 22
On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories
journal, January 1991
- Zamolodchikov, Al. B.
- Physics Letters B, Vol. 253, Issue 3-4
Photovoltaic Hall effect in graphene
journal, February 2009
- Oka, Takashi; Aoki, Hideo
- Physical Review B, Vol. 79, Issue 8
Solvable Hydrodynamics of Quantum Integrable Systems
journal, November 2017
- Bulchandani, Vir B.; Vasseur, Romain; Karrasch, Christoph
- Physical Review Letters, Vol. 119, Issue 22
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006
- Basko, D. M.; Aleiner, I. L.; Altshuler, B. L.
- Annals of Physics, Vol. 321, Issue 5
Ergodic properties of a generic nonintegrable quantum many-body system in the thermodynamic limit
journal, October 1999
- Prosen, Tomaž
- Physical Review E, Vol. 60, Issue 4
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
journal, June 2016
- Vasseur, Romain; Moore, Joel E.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Absolute stability and spatiotemporal long-range order in Floquet systems
journal, August 2016
- von Keyserlingk, C. W.; Khemani, Vedika; Sondhi, S. L.
- Physical Review B, Vol. 94, Issue 8
Phase Structure of Driven Quantum Systems
journal, June 2016
- Khemani, Vedika; Lazarides, Achilleas; Moessner, Roderich
- Physical Review Letters, Vol. 116, Issue 25
Disordered Chern insulator with a two-step Floquet drive
journal, December 2016
- Roy, Sthitadhi; Sreejith, G. J.
- Physical Review B, Vol. 94, Issue 21
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015
- Nandkishore, Rahul; Huse, David A.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Drude Weight for the Lieb-Liniger Bose Gas
journal, January 2017
- Doyon, Benjamin; Spohn, Herbert
- SciPost Physics, Vol. 3, Issue 6
Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
journal, January 2019
- Caux, Jean-Sébastien; Doyon, Benjamin; Dubail, Jerome
- SciPost Physics, Vol. 6, Issue 6
Topological singularities and the general classification of Floquet–Bloch systems
journal, December 2015
- Nathan, Frederik; Rudner, Mark S.
- New Journal of Physics, Vol. 17, Issue 12
Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach
journal, August 2017
- Ilievski, Enej; De Nardis, Jacopo
- Physical Review B, Vol. 96, Issue 8
Exact large-scale correlations in integrable systems out of equilibrium
journal, January 2018
- Doyon, Benjamin
- SciPost Physics, Vol. 5, Issue 5
Enhancement and sign change of magnetic correlations in a driven quantum many-body system
journal, January 2018
- Görg, Frederik; Messer, Michael; Sandholzer, Kilian
- Nature, Vol. 553, Issue 7689
Floquet Spectrum and Transport through an Irradiated Graphene Ribbon
journal, November 2011
- Gu, Zhenghao; Fertig, H. A.; Arovas, Daniel P.
- Physical Review Letters, Vol. 107, Issue 21
A quantum Newton's cradle
journal, April 2006
- Kinoshita, Toshiya; Wenger, Trevor; Weiss, David S.
- Nature, Vol. 440, Issue 7086
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
journal, June 2016
- von Keyserlingk, C. W.; Sondhi, S. L.
- Physical Review B, Vol. 93, Issue 24
Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases
journal, June 2016
- von Keyserlingk, C. W.; Sondhi, S. L.
- Physical Review B, Vol. 93, Issue 24
Far-from-Equilibrium Spin Transport in Heisenberg Quantum Magnets
journal, October 2014
- Hild, Sebastian; Fukuhara, Takeshi; Schauß, Peter
- Physical Review Letters, Vol. 113, Issue 14
Transport in out-of-equilibrium XXZ chains: Nonballistic behavior and correlation functions
journal, September 2017
- Piroli, Lorenzo; De Nardis, Jacopo; Collura, Mario
- Physical Review B, Vol. 96, Issue 11
Equilibrium states of generic quantum systems subject to periodic driving
journal, July 2014
- Lazarides, Achilleas; Das, Arnab; Moessner, Roderich
- Physical Review E, Vol. 90, Issue 1
Localization-protected quantum order
journal, July 2013
- Huse, David A.; Nandkishore, Rahul; Oganesyan, Vadim
- Physical Review B, Vol. 88, Issue 1
Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
journal, July 1969
- Yang, C. N.; Yang, C. P.
- Journal of Mathematical Physics, Vol. 10, Issue 7
Thermalization and its mechanism for generic isolated quantum systems
journal, April 2008
- Rigol, Marcos; Dunjko, Vanja; Olshanii, Maxim
- Nature, Vol. 452, Issue 7189
Topological Floquet-Thouless Energy Pump
journal, April 2018
- Kolodrubetz, Michael H.; Nathan, Frederik; Gazit, Snir
- Physical Review Letters, Vol. 120, Issue 15
Microscopic Origin of Ideal Conductivity in Integrable Quantum Models
journal, July 2017
- Ilievski, Enej; De Nardis, Jacopo
- Physical Review Letters, Vol. 119, Issue 2
Time Evolution of a Quantum Many-Body System: Transition from Integrability to Ergodicity in the Thermodynamic Limit
journal, March 1998
- Prosen, Tomaž
- Physical Review Letters, Vol. 80, Issue 9
Disorder-Induced Floquet Topological Insulators
journal, February 2015
- Titum, Paraj; Lindner, Netanel H.; Rechtsman, Mikael C.
- Physical Review Letters, Vol. 114, Issue 5
Universal Dynamics and Renormalization in Many-Body-Localized Systems
journal, March 2015
- Altman, Ehud; Vosk, Ronen
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Observation of discrete time-crystalline order in a disordered dipolar many-body system
journal, March 2017
- Choi, Soonwon; Choi, Joonhee; Landig, Renate
- Nature, Vol. 543, Issue 7644
Emergent Prethermalization Signatures in Out-of-Time Ordered Correlations
journal, August 2019
- Wei, Ken Xuan; Peng, Pai; Shtanko, Oles
- Physical Review Letters, Vol. 123, Issue 9
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
journal, January 2018
- Bulchandani, Vir B.; Vasseur, Romain; Karrasch, Christoph
- Physical Review B, Vol. 97, Issue 4
Generalized Hydrodynamics on an Atom Chip
journal, March 2019
- Schemmer, M.; Bouchoule, I.; Doyon, B.
- Physical Review Letters, Vol. 122, Issue 9
Localization and topology protected quantum coherence at the edge of hot matter
journal, July 2015
- Bahri, Yasaman; Vosk, Ronen; Altman, Ehud
- Nature Communications, Vol. 6, Issue 1
Analytic solution of the domain-wall nonequilibrium stationary state
journal, February 2018
- Collura, Mario; De Luca, Andrea; Viti, Jacopo
- Physical Review B, Vol. 97, Issue 8
Exact matrix product decay modes of a boundary driven cellular automaton
journal, September 2017
- Prosen, Tomaž; Buča, Berislav
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 39
Floquet topological phases with symmetry in all dimensions
journal, May 2017
- Roy, Rahul; Harper, Fenner
- Physical Review B, Vol. 95, Issue 19
Operator Entanglement in Interacting Integrable Quantum Systems: The Case of the Rule 54 Chain
journal, June 2019
- Alba, V.; Dubail, J.; Medenjak, M.
- Physical Review Letters, Vol. 122, Issue 25
“Light-Cone” Dynamics After Quantum Quenches in Spin Chains
journal, October 2014
- Bonnes, Lars; Essler, Fabian H. L.; Läuchli, Andreas M.
- Physical Review Letters, Vol. 113, Issue 18
Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
journal, October 2013
- Aidelsburger, M.; Atala, M.; Lohse, M.
- Physical Review Letters, Vol. 111, Issue 18
Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
journal, October 2013
- Miyake, Hirokazu; Siviloglou, Georgios A.; Kennedy, Colin J.
- Physical Review Letters, Vol. 111, Issue 18
On two integrable cellular automata
journal, November 1993
- Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie
- Communications in Mathematical Physics, Vol. 158, Issue 1
Discrete Time Crystals: Rigidity, Criticality, and Realizations
journal, January 2017
- Yao, N. Y.; Potter, A. C.; Potirniche, I. -D.
- Physical Review Letters, Vol. 118, Issue 3
Incomplete Thermalization from Trap-Induced Integrability Breaking: Lessons from Classical Hard Rods
journal, April 2018
- Cao, Xiangyu; Bulchandani, Vir B.; Moore, Joel E.
- Physical Review Letters, Vol. 120, Issue 16
Out-of-time-ordered correlators in a quantum Ising chain
journal, April 2018
- Lin, Cheng-Ju; Motrunich, Olexei I.
- Physical Review B, Vol. 97, Issue 14
Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems
journal, July 2013
- Rudner, Mark S.; Lindner, Netanel H.; Berg, Erez
- Physical Review X, Vol. 3, Issue 3
Operator growth and eigenstate entanglement in an interacting integrable Floquet system
journal, August 2018
- Gopalakrishnan, Sarang
- Physical Review B, Vol. 98, Issue 6
Integrable Trotterization: Local Conservation Laws and Boundary Driving
journal, July 2018
- Vanicat, Matthieu; Zadnik, Lenart; Prosen, Tomaž
- Physical Review Letters, Vol. 121, Issue 3
Observation of Floquet-Bloch States on the Surface of a Topological Insulator
journal, October 2013
- Wang, Y. H.; Steinberg, H.; Jarillo-Herrero, P.
- Science, Vol. 342, Issue 6157, p. 453-457
A bound on chaos
journal, August 2016
- Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2016, Issue 8
Soliton Gases and Generalized Hydrodynamics
journal, January 2018
- Doyon, Benjamin; Yoshimura, Takato; Caux, Jean-Sébastien
- Physical Review Letters, Vol. 120, Issue 4
Periodic Thermodynamics of Isolated Quantum Systems
journal, April 2014
- Lazarides, Achilleas; Das, Arnab; Moessner, Roderich
- Physical Review Letters, Vol. 112, Issue 15
Nonequilibrium spin transport in integrable spin chains: Persistent currents and emergence of magnetic domains
journal, July 2017
- De Luca, Andrea; Collura, Mario; De Nardis, Jacopo
- Physical Review B, Vol. 96, Issue 2
Many-Body Localization in Periodically Driven Systems
journal, April 2015
- Ponte, Pedro; Papić, Z.; Huveneers, François
- Physical Review Letters, Vol. 114, Issue 14
Purely elastic scattering theories and their ultraviolet limits
journal, July 1990
- Klassen, Timothy R.; Melzer, Ezer
- Nuclear Physics B, Vol. 338, Issue 3
Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015
- Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François
- Physical Review Letters, Vol. 115, Issue 25
A note on generalized hydrodynamics: inhomogeneous fields and other concepts
journal, January 2017
- Doyon, Benjamin; Yoshimura, Takato
- SciPost Physics, Vol. 2, Issue 2
Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014
- Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
- Nature, Vol. 515, Issue 7526
Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump
journal, May 2016
- Titum, Paraj; Berg, Erez; Rudner, Mark S.
- Physical Review X, Vol. 6, Issue 2
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016
- Kuwahara, Tomotaka; Mori, Takashi; Saito, Keiji
- Annals of Physics, Vol. 367
Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels
journal, December 2011
- Kitagawa, Takuya; Oka, Takashi; Brataas, Arne
- Physical Review B, Vol. 84, Issue 23
Spin Polarization through Floquet Resonances in a Driven Central Spin Model
journal, August 2018
- Claeys, Pieter W.; De Baerdemacker, Stijn; Araby, Omar El
- Physical Review Letters, Vol. 121, Issue 8
Classification of Interacting Topological Floquet Phases in One Dimension
journal, October 2016
- Potter, Andrew C.; Morimoto, Takahiro; Vishwanath, Ashvin
- Physical Review X, Vol. 6, Issue 4
Facilitated quantum cellular automata as simple models with non-thermal eigenstates and dynamics
journal, August 2018
- Gopalakrishnan, Sarang; Zakirov, Bahti
- Quantum Science and Technology, Vol. 3, Issue 4
Observation of a discrete time crystal
journal, March 2017
- Zhang, J.; Hess, P. W.; Kyprianidis, A.
- Nature, Vol. 543, Issue 7644
Low-temperature transport in out-of-equilibrium XXZ chains
journal, March 2018
- Bertini, Bruno; Piroli, Lorenzo
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, Issue 3
Fate of Many-Body Localization Under Periodic Driving
journal, July 2015
- Lazarides, Achilleas; Das, Arnab; Moessner, Roderich
- Physical Review Letters, Vol. 115, Issue 3
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.