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Decoherence due to an excited-state quantum phase transition in a two-level boson model

Source: Phys. Rev. A 80, 032111 (2009); doi:10.1103/PhysRevA.80.032111

Published 17 September 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.65.Yz
    Decoherence; open systems; quantum statistical methods
  • 05.70.Fh
    Phase transitions: general studies
  • 64.70.Tg
    Quantum phase transitions
  • YEAR: 2009
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PUBLICATION DATA
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P. Pérez-Fernández,1 A. Relaño,2 J. M. Arias,1 J. Dukelsky,2 and J. E. García-Ramos3
1Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física, Universidad de Sevilla, Apartado 1065, 41080 Sevilla, Spain
2Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain
3Departamento de Física Aplicada, Universidad de Huelva, 21071 Huelva, Spain

The decoherence induced on a single qubit by its interaction with the environment is studied. The environment is modeled as a scalar two-level boson system that can go through either first-order or continuous-excited-state quantum phase transitions, depending on the values of the control parameters. A mean-field method based on the Tamm-Damkoff approximation is worked out in order to understand the observed behavior of the decoherence. Only the continuous-excited-state phase transition produces a noticeable effect in the decoherence of the qubit. This is maximal when the system-environment coupling brings the environment to the critical point for the continuous phase transition. In this situation, the decoherence factor (or the fidelity) goes to zero with a finite-size scaling power law. ©2009 The American Physical Society
History: Received 3 July 2009; published 17 September 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e032111

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