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dc.contributor.author
Zangara, Pablo René
dc.contributor.author
Bendersky, Denise
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Pastawski, Horacio Miguel
dc.date.available
2023-01-26T19:56:10Z
dc.date.issued
2015-04-13
dc.identifier.citation
Zangara, Pablo René; Bendersky, Denise; Pastawski, Horacio Miguel; Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 4; 13-4-2015; 1-8
dc.identifier.issn
1050-2947
dc.identifier.uri
http://hdl.handle.net/11336/185849
dc.description.abstract
We address the question of how weak perturbations, which are quite ineffective in small many-body systems, can lead to decoherence and hence to irreversibility when they proliferate as the system size increases. This question is at the heart of solid-state NMR. There, an initially local polarization spreads all over due to spin-spin interactions that conserve the total spin projection, leading to an equilibration of the polarization. In principle, this quantum dynamics can be reversed by changing the sign of the Hamiltonian. However, the reversal is usually perturbed by nonreversible interactions that act as a decoherence source. The fraction of the local excitation recovered defines the Loschmidt echo (LE), here evaluated in a series of closed N spin systems with all-to-all interactions. The most remarkable regime of the LE decay occurs when the perturbation induces proliferated effective interactions. We show that if this perturbation exceeds some lower bound, the decay is ruled by an effective Fermi golden rule (FGR). Such a lower bound shrinks as N increases, becoming the leading mechanism for LE decay in the thermodynamic limit. Once the polarization stayed equilibrated longer than the FGR time, it remains equilibrated in spite of the reversal procedure.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
DECOHERENCE
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MANY-BODY SYSTEMS
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LOSCHMIDT ECHO
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EFFECTIVE INTERACTIONS
dc.subject.classification
Física Atómica, Molecular y Química
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-01-23T16:38:19Z
dc.identifier.eissn
1094-1622
dc.journal.volume
91
dc.journal.number
4
dc.journal.pagination
1-8
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Zangara, Pablo René. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Bendersky, Denise. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Pastawski, Horacio Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title
Physical Review A: Atomic, Molecular and Optical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.042112
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevA.91.042112
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