Exponentially rapid decoherence of quantum chaotic systems

Details Exponentially rapid decoherence of quantum chaotic systems Exponentially rapid decoherence of quantum chaotic systems

1997-10-21

arxiv.org/abs/chao-dyn/9710017v1

Nonlinear Sciences

Chaotic Dynamics

4 ReVTeX pages + 1 postscript figure. PRL (to appear)

Scientific paper

10.1103/PhysRevLett.79.4131

We use a recent result to show that the rate of loss of coherence of a quantum system increases with increasing system phase space structure and that a chaotic quantal system in the semiclassical limit decoheres exponentially with rate $2 \lambda_2$, where $\lambda_2$ is a generalized Lyapunov exponent. As a result, for example, the dephasing time for classically chaotic systems goes to infinity logarithmically with the temperature, in accord with recent experimental results.

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