Semilinear response for the heating rate of cold atoms in vibrating traps

Details Semilinear response for the heating rate of cold atoms in vibrating traps Semilinear response for the heating rate of cold atoms in vibrating traps

2008-10-02

arxiv.org/abs/0810.0360v3

Europhysics Letters 86, 10004 (2009)

Physics

Quantum Physics

6 pages, 6 figures, improved version to be published in Europhysics Letters

Scientific paper

10.1209/0295-5075/86/10004

The calculation of the heating rate of cold atoms in vibrating traps requires a theory that goes beyond the Kubo linear response formulation. If a strong "quantum chaos" assumption does not hold, the analysis of transitions shows similarities with a percolation problem in energy space. We show how the texture and the sparsity of the perturbation matrix, as determined by the geometry of the system, dictate the result. An improved sparse random matrix model is introduced: it captures the essential ingredients of the problem, and leads to a generalized variable range hopping picture.

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