Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice

Abstract

Motivated by recent experimental observations (C.V. Parker {\it et al.}, Nature Physics, {\bf 9}, 769 (2013)), 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 show that Parker et al. perform their experiment in the stable region, which accounts for the long life-time of the condensate ($\sim$ 1 second). We also estimate the scattering rate of the bosons in the region where the BEC is unstable.

6 Pages, 4 Figures

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• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Floquet interface states in illuminated three-dimensional topological insulators
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
• Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles