dorsal/arxiv
View SchemaDecoherence and the Loschmidt echo
| Authors | F. M. Cucchietti, D. A. R. Dalvit, J. P. Paz, W. H. Zurek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306142 |
| URL | https://arxiv.org/abs/quant-ph/0306142 |
| DOI | 10.1103/PhysRevLett.91.210403 |
| Journal | Phys. Rev. Lett. 91, 210403 (2003). |
Abstract
Environment--induced decoherence causes entropy increase. It can be quantified using, e.g., the purity $\varsigma={\rm Tr}\rho^2$. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured by the Loschmidt echo $\bar M(t)$. 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 $\bar M(t)$. 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 $\bar M$ has a regime where it is dominated by the classical Lyapunov exponents
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"abstract": "Environment--induced decoherence causes entropy increase. It can be\nquantified using, e.g., the purity $\\varsigma={\\rm Tr}\\rho^2$. When the\nHamiltonian of a quantum system is perturbed, its sensitivity to such\nperturbation can be measured by the Loschmidt echo $\\bar M(t)$. It is given by\nthe average squared overlap between the perturbed and unperturbed state. We\ndescribe the relation between the temporal behavior of $\\varsigma(t)$ and $\\bar\nM(t)$. In this way we show that the decay of the Loschmidt echo can be analyzed\nusing tools developed in the study of decoherence. In particular, for systems\nwith a classically chaotic Hamiltonian the decay of $\\varsigma$ and $\\bar M$\nhas a regime where it is dominated by the classical Lyapunov exponents",
"arxiv_id": "quant-ph/0306142",
"authors": [
"F. M. Cucchietti",
"D. A. R. Dalvit",
"J. P. Paz",
"W. H. Zurek"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.91.210403",
"journal_ref": "Phys. Rev. Lett. 91, 210403 (2003).",
"title": "Decoherence and the Loschmidt echo",
"url": "https://arxiv.org/abs/quant-ph/0306142"
},
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