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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 | Abstract: | Environment--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 | Services: | Forum | Review | PDF | Favorites |
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