Quantum relaxation in open chaotic systems

Details Quantum relaxation in open chaotic systems Quantum relaxation in open chaotic systems

1997-07-19

arxiv.org/abs/cond-mat/9707206v2

Physics

Condensed Matter

4 pages Rev-Tex, one figure, important modifications in introduction and conlusion, four references added or modified

Scientific paper

10.1103/PhysRevE.56.R6237

Using the supersymmetry technique, we analytically derive the recent result of Casati, Maspero and Shepelyansky [cond-mat/9706103] according to which the quantum dynamics of open chaotic systems follows the classical decay up to a new quantum relaxation time scale $t_q\sim\sqrt{t_c t_H}$. This scale is larger than the classical escape time $t_c$ but still much smaller than the Heisenberg time $t_H$. For systems with orthogonal or unitary symmetry the quantum decay is slower than the classical one while for the symplectic case there is an intermediate regime in which the quantum decay is slightly faster.

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