Decoherence and the loschmidt echo
Decoherence causes entropy increase that can be quantified using, e.g., the purity [Formula presented]. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured by the Loschmidt echo [Formula presented]. It is given by the squared overlap between th...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2003 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/78182 |
| Acesso em linha: | http://hdl.handle.net/11336/78182 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Decoherence Loschmidt Echo https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Resumo: | Decoherence causes entropy increase that can be quantified using, e.g., the purity [Formula presented]. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured by the Loschmidt echo [Formula presented]. It is given by the squared overlap between the perturbed and unperturbed state. We describe the relation between the temporal behavior of [Formula presented] and the average [Formula presented]. 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 [Formula presented] and [Formula presented] has a regime where it is dominated by the Lyapunov exponents. © 2003 The American Physical Society. |
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