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Nonadiabatic geometric phase induced by a counterpart of the Stark shift

2005; Institute of Physics; Volume: 72; Issue: 1 Linguagem: Inglês

10.1209/epl/i2005-10209-9

1286-4854

Eduardo I. Duzzioni, Celso J. Villas-Bôas, S. S. Mizrahi, M. H. Y. Moussa, R. M. Serra,

Quantum Mechanics and Applications

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.