Nonadiabatic geometric phase induced by a counterpart of the Stark shift

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.

References in corpus (5)

• Geometric phase in open systems
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• Berry and Pancharatnam Topological Phases of Atomic and Optical Systems
• Preparation and control of a cavity-field state through atom-driven field interaction: towards long-lived mesoscopic states
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Cited by in corpus (5)

• Dynamical invariants and nonadiabatic geometric phases in open quantum systems
• Spin coherent states in NMR quadrupolar system: experimental and theoretical applications
• Efficient microwave frequency conversion mediated by the vibrational motion of a silicon nitride nanobeam oscillator
• A general treatment of geometric phases and dynamical invariants
• Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates