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29 March 2024
 
  » arxiv » quant-ph/0306142

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Decoherence and the Loschmidt echo
F.M. Cucchietti ; D.A.R. Dalvit ; J.P. Paz ; W.H. Zurek ;
Date 21 Jun 2003
Journal Phys. Rev. Lett. 91, 210403 (2003).
Subject Quantum Physics; Chaotic Dynamics | quant-ph nlin.CD
AbstractEnvironment--induced decoherence causes entropy increase. It can be quantified using, e.g., the purity $varsigma={ m Tr} ho^2$. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured by the Loschmidt echo $ar M(t)$. It is given by the average squared overlap between the perturbed and unperturbed state. We describe the relation between the temporal behavior of $varsigma(t)$ and $ar M(t)$. In this way we show that the decay of the Loschmidt echo can be analyzed using tools developed in the study of decoherence. In particular, for systems with a classically chaotic Hamiltonian the decay of $varsigma$ and $ar M$ has a regime where it is dominated by the classical Lyapunov exponents
Source arXiv, quant-ph/0306142
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