E. I. Duzzioni et al 2005 Europhys. Lett. 72 21 doi:10.1209/epl/i2005-10209-9
E. I. Duzzioni1, C. J. Villas-Bôas1, S. S. Mizrahi1, M. H. Y. Moussa1 and R. M. Serra1,2
Show affiliationsWe 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.
42.50.Ct Quantum description of interaction of light and matter; related experiments
Issue 1 (October 2005)
Received 20 January 2005, accepted for publication 4 August 2005, in final form 4 August 2005
Published 31 August 2005
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