ar X iv : m at h - ph / 0 40 60 55 v 1 2 4 Ju n 20 04 DISSIPATION TIME OF QUANTIZED TORAL MAPS

Abstract

We introduce the notion of dissipation time for noisy quantum maps on the 2d-dimensional torus as an analogue of its previously studied classical version. We show that this dissipation time is sensitive to the chaotic behavior of the corresponding classical system, if one simultaneously considers the semiclassical limit (→ 0) together with the limit of… (More)

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