Volume 86, Number 1, April 2009
|Number of page(s)||6|
|Published online||17 April 2009|
Semilinear response for the heating rate of cold atoms in vibrating traps
Department of Physics, Ben-Gurion University - Beer-Sheva, 84005, Israel
2 Department of Physics of Complex Systems, Weizmann Institute of Science - Rehovot, 76100, Israel
Accepted: 9 March 2009
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.
PACS: 03.65.-w – Quantum mechanics
© EPLA, 2009
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