Issue
EPL
Volume 86, Number 1, April 2009
Article Number 10004
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/86/10004
Published online 17 April 2009
EPL, 86 (2009) 10004
DOI: 10.1209/0295-5075/86/10004

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

A. Stotland1, D. Cohen1 and N. Davidson2

1   Department of Physics, Ben-Gurion University - Beer-Sheva, 84005, Israel
2   Department of Physics of Complex Systems, Weizmann Institute of Science - Rehovot, 76100, Israel


received 22 December 2008; accepted in final form 9 March 2009; published April 2009
published online 17 April 2009

Abstract
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