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arXiv:0812.2615

Connection between Wigner distribution of nonclassical fields and collapse-revival of atomic dynamics

C. H. Raymond Ooi

Published Dec 14, 2008• 0 citations
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Abstract

The transient evolution of nonclassical radiation fields interacting with an atom in a cavity is correlated to the atomic dynamics. Connection between the atomic phases of collapse and revival, and the Wigner function pattern is explored. Initial classical coherent field can evolve into nonclassical field. Schrodinger cat state field is generate during the atomic collapse phase. For initial Schrodinger cat field state, the state dissolves with time but revives during the atomic phase that corresponds with the initial phase. More intricate but orderly characteristics are found between the collapse-revival dynamics and the patterns of the Wigner function for initial thermal field.

DOI
10.48550/arxiv.0812.2615

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The transient evolution of nonclassical radiation fields interacting with an atom in a cavity is correlated to the atomic dynamics. Connection between the atomic phases of collapse and revival, and the Wigner function pattern is explored. Initial classical coherent field can evolve into nonclassical field. Schrodinger cat state field is generate during the atomic collapse phase. For initial Schrodinger cat field state, the state dissolves with time but revives during the atomic phase that corresponds with the initial phase. More intricate but orderly characteristics are found between the collapse-revival dynamics and the patterns of the Wigner function for initial thermal field.
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We investigate the dynamics of a two-level atom in a cavity filled with a nonlinear medium. We show that the atom-field detuning δ and the nonlinear parameter χ(3) may be combined to yield a periodic dynamics, allowing the generation of almost exact superpositions of coherent states (Schrödinger cats). By analysing the atomic inversion and the field purity, we verify that any initial atom-field state is recovered at each revival time, and that a coherent field interacting with an excited atom evolves to a superposition of coherent states at each collapse time. We show that a mixed field state (statistical mixture of two coherent states) evolves towards an almost pure field state as well (Schrödinger cat). We discuss the validity of these results by using the field fidelity and the Wigner function.
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In this paper we consider a quantized single-mode field interacting with two two-level atoms. For the radiation field of this system we investigate the occurrence of the revival-collapse phenomenon in the evolution of the Wigner ( W ) function at the phase-space origin and of the quadrature squeezing. We show under certain conditions that the higher-order quadrature squeezing and the W function can provide complete information on the total atomic inversion. Moreover, we develop the notion of the geometric atomic inversion and show that it can be connected by the W function and the quadrature squeezing.