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Title: Dynamical stability of a many-body Kapitza pendulum

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.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [3] ;  [5] ;  [6] ;  [3] ;  [7] ;  [6]
  1. Dipartimento di Fisica “E. R. Caianiello” and Spin-CNR, Universita’ degli Studi di Salerno, Via Giovanni Paolo II, I-84084 Fisciano (Italy)
  2. Department of Physics, Bar Ilan University, Ramat Gan 5290002 (Israel)
  3. (United States)
  4. Department of Physics, The Pennsylvania State University, University Park, PA 16802 (United States)
  5. Department of Physics, Boston University, Boston, MA 02215 (United States)
  6. Department of Physics, Harvard University, Cambridge, MA 02138 (United States)
  7. Department of Applied Physics, University of Tokyo, Tokyo, 113-8656 (Japan)
Publication Date:
OSTI Identifier:
22451227
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 360; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DEGREES OF FREEDOM; HAMILTONIANS; MANY-BODY PROBLEM; PERIODICITY; PHASE DIAGRAMS; SEMICLASSICAL APPROXIMATION; SINE-GORDON EQUATION; VARIATIONAL METHODS