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Dynamical stability of a many-body Kapitza pendulum

Citro, Roberta and Dalla Torre, Emanuele G. and D'Alessio, Luca and Polkovnikov, Anatoli and Babadi, Mehrtash and Oka, Takashi and Demler, Eugene (2015) Dynamical stability of a many-body Kapitza pendulum. Annals of Physics, 360 . pp. 694-710. ISSN 0003-4916. doi:10.1016/j.aop.2015.03.027.

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We consider a many-body generalization of the Kapitza pendulum: the periodically-driven sine–Gordon model. We show that this interacting system is dynamically stable to periodic drives with finite frequency and amplitude. This finding is in contrast to the common belief that periodically-driven unbounded interacting systems should always tend to an absorbing infinite-temperature state. The transition to an unstable absorbing state is described by a change in the sign of the kinetic term in the Floquet Hamiltonian and controlled by the short-wavelength degrees of freedom. We investigate the stability phase diagram through an analytic high-frequency expansion, a self-consistent variational approach, and a numeric semiclassical calculation. Classical and quantum experiments are proposed to verify the validity of our results.

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Additional Information:© 2015 Elsevier. Received 7 February 2015; Accepted 29 March 2015; Available online 3 April 2015. The authors are grateful to T. Giamarchi, B. Halperin, D. Pekker, A. Russomanno, K. Sengupta, A. Tokuno for many useful discussions. The authors acknowledge the organizers of the KITP workshop on “Quantum Dynamics in Far from Equilibrium Thermally Isolated Systems”, during which this work was initiated, and the NSF Grant No. PHY11-25915. ED acknowledges the support of Harvard-MIT CUA, NSF Grant No. DMR-07-05472, AFOSR Quantum Simulation MURI, the ARO-MURI on Atomtronics, and the ARO-MURI Quism program. RC acknowledges the International Program of University of Salerno and the Harvard-MIT CUA. This research was supported by the Israel Science Foundation (Grant No. 1542/14). AP and LD acknowledge the support of NSF DMR-1206410 and AFOSR FA9550-13-1-0039. MB was supported by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-13-1-0039
Army Research Office (ARO)UNSPECIFIED
University of SalernoUNSPECIFIED
Israel Science Foundation1542/14
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Non-Subject Keywords:Non-equilibrium physics; Periodic drive; Kapitza pendulum; Ultracold atom
Record Number:CaltechAUTHORS:20150814-155609855
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Official Citation:Roberta Citro, Emanuele G. Dalla Torre, Luca D'Alessio, Anatoli Polkovnikov, Mehrtash Babadi, Takashi Oka, Eugene Demler, Dynamical stability of a many-body Kapitza pendulum, Annals of Physics, Volume 360, September 2015, Pages 694-710 , ISSN 0003-4916, (Http://
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59569
Deposited By: George Porter
Deposited On:17 Aug 2015 17:11
Last Modified:10 Nov 2021 22:22

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