Quantum relaxation in open chaotic systems
arXiv:cond-mat/9707206 · doi:10.1103/PhysRevE.56.R6237
Abstract
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 . This scale is larger than the classical escape time but still much smaller than the Heisenberg time . 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.
4 pages Rev-Tex, one figure, important modifications in introduction and conlusion, four references added or modified
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- Semiclassical Theory for Decay and Fragmentation Processes in Chaotic Quantum Systems
- Quantum decay of an open chaotic system: a semiclassical approach
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