Dynamical stability of a many-body Kapitza pendulum
Dalla Torre, Emanuele G.
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Citation (published version)Roberta Citro, Emanuele G Dalla Torre, Luca D'Alessio, Anatoli Polkovnikov, Mehrtash Babadi, Takashi Oka, Eugene Demler. 2015. "Dynamical stability of a many-body Kapitza pendulum." ANNALS OF PHYSICS, Volume 360, pp. 694 - 710 (17). https://doi.org/10.1016/j.aop.2015.03.027
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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