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

A. Stotland, D. Cohen, N. Davidson

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish
Article number10004
JournalEPL
Volume86
Issue number1
DOIs
StatePublished - 20 Nov 2009

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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