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
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 |
REFERENCES (16)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003).
- M. Schlosshauer, Rev. Mod. Phys. 76, 1267 (2005).
- F. M. Cucchietti, S. Fernandez-Vidal, and J. P. Paz, Phys. Rev. A 75, 032337 (2007).
- C. Cormick and J. P. Paz, Phys. Rev. A 77, 022317 (2008).
- D. Rossini, T. Calarco, V. Giovannetti, S. Montangero, and R. Fazio, Phys. Rev. A 75, 032333 (2007).
- S. Camalet and R. Chitra, Phys. Rev. Lett. 99, 267202 (2007).
- Z.-G. Yuan, P. Zhang, and S.-S. Li, Phys. Rev. A 75, 012102 (2007).
- A. Relaño, J. M. Arias, J. Dukelsky, J. E. García- Ramos, P. Pérez-Fernández, Phys. Rev. A 78, 060102(R) (2008).
- P. Cejnar, S. Heinze, and M. Macek, Phys. Rev. Lett. 99, 100601 (2007).
- F. Leyvraz and W. D. Heiss, Phys. Rev. Lett. 95, 050402 (2005)
- S. Heinze, P. Cejnar, J. Jolie, and M. Macek, Phys. Rev. C 73, 014306 (2006)
- P. Cejnar and P. Stránský, Phys. Rev. E 78, 031130 (2008).
- J. Vidal, J. M. Arias, J. Dukelsky, and J. E. Garcí-Ramos, Phys. Rev. C 73, 054305 (2006)
ADVERTISEMENT


