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"Stability of a Bose-Einstein Condensate in a Periodically Driven Optical Lattice"

Mr. Sayan Choudhury
Cornell University


Motivated by recent experiments, we analyse the stability of a three-dimensional Bose-Einstein condensate (BEC) loaded in a periodically driven one-dimensional and two dimensional square lattice. Such periodically driven systems do not have a thermodynamic ground state, but may have a long-lived steady state which is an eigenstate of a "Floquet Hamiltonian." We explore collisional instabilities of the Floquet ground state which transfer energy into the transverse modes. We calculate decay rates, finding that the lifetime scales as the inverse square of the scattering length and inverse of the peak three-dimensional density. We also explore the consequences of increasing the transverse confinement. We predict that if the transverse confinement exceeds a critical value, then, for appropriate shaking frequencies, the condensate is stable against scattering into transverse directions.

Monday, March 6, 2017
IQSE Seminar Room (578 MPHY), 2:00 PM
Mitchell Physics Building

Institute for Quantum Science and Engineering
Texas A&M University

(Coffee and Cookies to be served 15 minutes prior start time)

Host: Marlan Scully