Rate of energy absorption for a driven chaotic cavity (2000) ()

We consider the response of a chaotic cavity in d dimensions to periodic driving. We are motivated by older studies of one-body dissipation in nuclei, and also by anticipated mesoscopic applications. For calculating the rate of energy absorption due to time-dependent deformation of the confining potential, we introduce an improved version of the wall formula. Our formulation takes into account that a special class of deformations causes no heating in the zero-frequency limit. We also derive a mesoscopic version of the Drude formula, and explain that it can be regarded as a special example of our calculations. Specifically we consider a quantum dot driven by electro-motive force which is induced by a time-dependent homogeneous magnetic field.


[1] A. Barnett, D. Cohen and E.J. Heller, Phys. Rev. Lett. 85, 1412 (2000). [arXiv] [pdf]
[2] A. Barnett, D. Cohen and E.J. Heller, J. Phys. A 34, 413 (2001). [arXiv] [pdf]