A C Aguiar Pinto and M T Thomaz 2003 J. Phys. A: Math. Gen. 36 7461 doi:10.1088/0305-4470/36/26/316
Imaginary phases in two-level model with spontaneous decay
A C Aguiar Pinto1,2 and M T Thomaz1
Show affiliationsWe study a two-level model coupled to the electromagnetic vacuum and to an external classic electric field with fixed frequency. The amplitude of the external electric field is supposed to vary very slowly in time. Garrison and Wright (1988 Phys. Lett. A 128 177) used the non-Hermitian Hamiltonian approach to study the adiabatic limit of this model and obtained that the probability of this two-level system to be in its upper level has an imaginary geometric phase. Using the master equation for describing the time evolution of the two-level system we obtain that the imaginary phase due to dissipative effects is time-dependent, in opposition to the Garrison and Wright result. The present results show that the non-Hermitian Hamiltonian method should not be used to discuss the nature of the imaginary phases in open systems.
- PACS
- MSC
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81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
- Subjects
- Dates
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Issue 26 (4 July 2003)
Received 12 June 2002, in final form 28 April 2003
Published 18 June 2003
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Imaginary phases in two-level model with spontaneous decay
A C Aguiar Pinto and M T Thomaz 2003 J. Phys. A: Math. Gen. 36 7461
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-
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-
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-
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