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RESEARCH PRODUCT
Dynamical stability of a many-body Kapitza pendulum
Takashi OkaEugene DemlerLuca D'alessioLuca D'alessioAnatoli PolkovnikovEmanuele G. Dalla TorreEmanuele G. Dalla TorreMehrtash BabadiMehrtash BabadiRoberta Citrosubject
Floquet theoryPhysicsDynamical instabilitiesQuantum Physicsperiodic drivingsGeneral Physics and AstronomySemiclassical physicsFOS: Physical sciencesKinetic termMany bodyDynamical instabilities periodic drivingssymbols.namesakeAmplitudeClassical mechanicsQuantum Gases (cond-mat.quant-gas)symbolsCondensed Matter - Quantum GasesHamiltonian (quantum mechanics)Quantum Physics (quant-ph)QuantumPhase diagramdescription
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 effective 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 calculations. Classical and quantum experiments are proposed to verify the validity of our results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-09-01 |