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

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.

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

References in corpus (4)

• Semilinear Response
• Rate of energy absorption by a closed ballistic ring
• The mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture
• The conductance of a multi-mode ballistic ring: beyond Landauer and Kubo

Cited by in corpus (8)

• Controlling nonlinear interaction in a many-mode laser by tuning disorder
• Random-matrix modeling of semi-linear response, the generalized variable range hopping picture, and the conductance of mesoscopic rings
• Quantum response of weakly chaotic systems
• Energy absorption by "sparse" systems: beyond linear response theory
• Diffusion in sparse networks: linear to semi-linear crossover
• Non-equilibrium steady state of sparse systems
• "Weak Quantum Chaos" and its resistor network modeling
• Quantum anomalies and linear response theory