Journal
ANNALS OF PHYSICS
Volume 360, Issue -, Pages 694-710Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2015.03.027
Keywords
Non-equilibrium physics; Periodic drive; Kapitza pendulum; Ultracold atom
Categories
Funding
- NSF [PHY11-25915, DMR-1206410, DMR-07-05472]
- Harvard-MIT CUA
- AFOSR Quantum Simulation MURI
- ARO-MURI on Atomtronics
- ARO-MURI Quism program
- Israel Science Foundation [1542/14]
- AFOSR [FA9550-13-1-0039]
- Institute for Quantum Information and Matter
- NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation
- Grants-in-Aid for Scientific Research [26400350] Funding Source: KAKEN
- Direct For Mathematical & Physical Scien
- Division Of Physics [1125846] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1206410] Funding Source: National Science Foundation
Ask authors/readers for more resources
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. (C) 2015 Elsevier Inc. All rights reserved.
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