Generation of superpositions of displaced Fock states via the driven Jaynes - Cummings model

Shi-Biao Zheng, Guang‐Can Guo · Quantum and Semiclassical Optics Journal of the European Optical Society Part B · 1996

We propose a method to produce superpositions of displaced Fock states via the driven Jaynes - Cummings model. We introduce the dressed-atom representation of the driven Jaynes - Cummings model to investigate the evolution of the state of the system. When the cavity field is in an initial coherent state ( is the amplitude of the classical driving field and g is the coupling constant between the atom and the cavity field), the evolution of the state of the system is similar to the vacuum Rabi oscillation of the normal Jaynes - Cummings model. After a period of interaction, the superposition of displaced Fock states of the cavity field can be generated by a state-selective measurement on the atom.

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