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Steady state of interacting Floquet insulators

Seetharam, Karthik I. and Bardyn, Charles-Edouard and Lindner, Netanel H. and Rudner, Mark S. and Refael, Gil (2019) Steady state of interacting Floquet insulators. Physical Review B, 99 (1). Art. No. 014307. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20180710-135957911

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Abstract

Floquet engineering offers tantalizing opportunities for controlling the dynamics of quantum many-body systems and realizing new nonequilibrium phases of matter. However, this approach faces a major challenge: generic interacting Floquet systems absorb energy from the drive, leading to uncontrolled heating which washes away the sought-after behavior. How to achieve and control a nontrivial nonequilibrium steady state is therefore of crucial importance. In this work, we study the dynamics of an interacting one-dimensional periodically driven electronic system coupled to a phonon heat bath. Using the Floquet-Boltzmann equation (FBE) we show that the electronic populations of the Floquet eigenstates can be controlled by the dissipation. We find the regime in which the steady state features an insulator-like filling of the Floquet bands, with a low density of additional excitations. Furthermore, we develop a simple rate equation model for the steady state excitation density that captures the behavior obtained from the numerical solution of the FBE over a wide range of parameters.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.99.014307DOIArticle
https://arxiv.org/abs/1806.10620arXivDiscussion Paper
Additional Information:© 2019 American Physical Society. Received 3 July 2018; revised manuscript received 11 November 2018; published 30 January 2019. We thank L. Glazman, Yuval Baum, Evert van Nieuwenburg, Justin Wilson, Michael Buchhold, and Min-Feng Tu, for useful discussions. N.L. acknowledges support from the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 639172); from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013), under REA Grant Agreement No. 631696; and from the Israeli Center of Research Excellence (I-CORE) “Circle of Light” funded by the Israel Science Foundation (Grant No. 1802/12). M.R. gratefully acknowledges the support from the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 678862) and from the Villum Foundation. C.-E.B. gratefully acknowledges support by the Swiss National Science Foundation under Division II. G.R. and K.S. are grateful for support from the NSF through DMR-1410435; from the Institute of Quantum Information and Matter, an NSF Frontier center funded by the Gordon and Betty Moore Foundation; from the Packard Foundation; and from the ARO MURI W911NF-16-1-0361 “Quantum Materials by Design with Electromagnetic Excitation” sponsored by the U.S. Army. K.S. is additionally grateful for support from NSF Graduate Research Fellowship Program.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
European Research Council (ERC)639172
Marie Curie Fellowship631696
Israel Science Foundation1802/12
European Research Council (ERC)678862
Villum FoundationUNSPECIFIED
Swiss National Science Foundation (SNSF)UNSPECIFIED
NSFDMR-1410435
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
NSF Graduate Research FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20180710-135957911
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180710-135957911
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87714
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:10 Jul 2018 21:08
Last Modified:01 Feb 2019 15:46

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