Volume 72, Number 1, October 2005
|Page(s)||21 - 27|
|Published online||31 August 2005|
Nonadiabatic geometric phase induced by a counterpart of the Stark shift
Departamento de Física, Universidade Federal de São Carlos P.O. Box 676, São Carlos, 13565-905, São Paulo, Brazil
2 Optics Section, The Blackett Laboratory, Imperial College - London SW7 2BZ, UK
Accepted: 4 August 2005
We analyse the geometric phase due to the Stark shift in a system composed of a bosonic field, driven by time-dependent linear amplification, interacting dispersively with a two-level (fermionic) system. We show that a geometric phase factor in the joint state of the system, which depends on the fermionic state (resulting form the Stark shift), is introduced by the amplification process. A clear geometrical interpretation of this phenomenon is provided. We also show how to measure this effect in an interferometric experiment and to generate geometric “Schrödinger cat”-like states. Finally, considering the currently available technology, we discuss a feasible scheme to control and measure such geometric phases in the context of cavity quantum electrodynamics.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 42.50.Ct – Quantum description of interaction of light and matter; related experiments / 42.50.Pq – Cavity quantum electrodynamics; micromasers
© EDP Sciences, 2005
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