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Motivated by recent experimental observations, we analyze the stability of a Bose-Einstein condensate (BEC) in a one-dimensional lattice subjected to periodic shaking. In such a system there is no thermodynamic ground state, but there may be a long-lived steady-state, described as an eigenstate of a “Floquet Hamiltonian”. We calculate how scattering processes lead to a decay of the Floquet state. We map out the phase diagram of the system and find regions where the BEC is stable and regions where the BEC is unstable against atomic collisions. We also look at the effect of transverse modes and how it can destabilize a BEC.
References :
1. S. Choudhury and E. J. Mueller, Phys. Rev. A 90, 013621 (2014)
2. S. Choudhury and E. J. Mueller, arXiv : 1410.4576 |