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Nonadiabatic geometric phase induced by a counterpart of the Stark shift

E. I. Duzzioni·C. J. Villas-Boas·S. S. Mizrahi·M. H. Y. Moussa·R. M. Serra
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Abstract

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 "Schrodinger 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.

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E. I. Duzzioni, C. J. Villas-Boas, S. S. Mizrahi, M. H. Y. Moussa, R. M. Serra. 2005-09-26. Nonadiabatic geometric phase induced by a counterpart of the Stark shift. https://doi.org/10.1209/epl%2Fi2005-10209-9

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