Semilinear response for the heating rate of cold atoms in vibrating trapsA. 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
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.
03.65.-w - Quantum mechanics.
© EPLA 2009