Off-resonant pumping for the transition from a continuous to a discrete spectrum and quantum revivals in systems in coherent states

Girish Saran Agarwal, J. Banerji · Journal of Optics B Quantum and Semiclassical Optics · 2001

We show that in parametrically driven systems and, more generally, in systems in coherent states, off-resonant pumping can cause a transition from a continuum energy spectrum of the system to a discrete one, and result in quantum revivals of the initial state. The mechanism responsible for quantum revivals in the present case is different from that in the non-linear wavepacket dynamics of systems such as Rydberg atoms. We interpret the reported phenomena as an optical analog of Bloch oscillations realized in Fock space and propose a feasible scheme for inducing Bloch oscillations in trapped ions.

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