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Título:
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Stringent numerical test of the Poisson distribution for finite quantum integrable Hamiltonians
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Autores:
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Relaño Pérez, Armando ;
Dukelsky, J. ;
Gómez Gómez, José María ;
Retamosa Granado, Joaquín
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Tipo de documento:
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texto impreso
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Editorial:
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American Physical Society, 2004-08
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Termodinámica
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Tipo = Artículo
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Resumen:
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Using a class of exactly solvable models based on the pairing interaction, we show that it is possible to construct integrable Hamiltonians with a Wigner distribution of nearest-neighbor level spacings. However, these Hamiltonians involve many-body interactions and the addition of a small integrable perturbation very quickly leads the system to a Poisson distribution. Besides this exceptional case, we show that the accumulated distribution of an ensemble of random integrable two-body pairing Hamiltonians is in perfect agreement with the Poisson limit. These numerical results for quantum integrable Hamiltonians provide a further empirical confirmation of the work of Berry and Tabor in the semiclassical limit.
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En línea:
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https://eprints.ucm.es/id/eprint/27789/1/Relano49libre.pdf
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