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Previous issue date: 2012 / In this work we used an arrangement consisting of Cooper pairs (Cooper Pair Box, CPB) interacting with a nanomechanical Resonator (NR) for various studies: to produce controlable holes in the statistical distribution of excitations of the NR, for resonant and non-resonant
cases; to study the evolution of the entropy and the inversion of excitations, including losses in the CPB; and to study the evolution of the Wigner function under the
infuence of a reservoir. We have obtained the exact
solution of the master equation describing the
non-degenerate parametric amplifier interacting with a generalized model of linear phase sensitive reservoir, having the form of the equation equivalent to that of the Fokker-Planck propagator for the Wigner function. We have calculated the Wigner function describing the temporal evolution of a state initially in a superposition of two coherent states, a kind of "Schr?odinger cat", and finally, we have also studied the temporal evolution of the negativity of this function, one of the indicators of nonclassicality of vibrational states of the NR. / Neste trabalho utilizamos um arranjo formado de pares de Cooper (Cooper Pair Box, CPB) interagindo com um Ressoador Nanomecânico (NR), para v?ários estudos: cavar buracos na distribui?ção estatí??stica de excita?ções do Ressoador, nos casos ressonante e não ressonante;
estudar a evolu?ção da entropia e da inversão de excita?ção, incluindo perdas no CPB; e estudar a evolu?ção da fun?ção de Wigner sob a influência de reservatório. Obtivemos a solu?ção exata da equa?ção mestra descrevendo o amplificador paramétrico não degenerado interagindo com um modelo generalizado de reservatório linear sensí??vel ?à fase, tendo a forma da equa?ção
equivalente ao do propagador de Fokker-Planck para a fun?ção de Wigner. Calculamos ainda a fun?ção de Wigner descrevendo a evolu?ção temporal da superposi?ção de dois estados iniciais coerentes, tipo "gato de Schr?odinger", e finalmente, estudamos detalhes da evolu?ção temporal da negatividade desta fun?ção, um dos parâmetros indicadores de não classicalidade de estados
vibracionais do NR.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.bc.ufg.br:tde/2882 |
| Date | January 2012 |
| Creators | Valverde, Clodoaldo |
| Contributors | Baseia, Basilio, Avelar, Ardiley Torres |
| Publisher | Universidade Federal de Goiás, Programa de Pós-graduação em Fisica (IF), UFG, Brasil, Instituto de Física - IF (RG) |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFG, instname:Universidade Federal de Goiás, instacron:UFG |
| Rights | http://creativecommons.org/licenses/by-nc-nd/4.0/, info:eu-repo/semantics/openAccess |
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