The dynamics of condensate shells: collective modes and expansion

Details The dynamics of condensate shells: collective modes and expansion The dynamics of condensate shells: collective modes and expansion

2006-04-19

arxiv.org/abs/cond-mat/0604455v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

We explore the physics of three-dimensional shell-shaped condensates, relevant to cold atoms in "bubble traps" and to Mott insulator-superfluid systems in optical lattices. We study the ground state of the condensate wavefunction, spherically-symmetric collective modes, and expansion properties of such a shell using a combination of analytical and numerical techniques. We find two breathing-type modes with frequencies that are distinct from that of the filled spherical condensate. Upon trap release and subsequent expansion, we find that the system displays self-interference fringes. We estimate characteristic time scales, degree of mass accumulation, three-body loss, and kinetic energy release during expansion for a typical system of Rb87.

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