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]
