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Chernoff Equivalence for Shift Operators, Generating Coherent States in Quantum Optics

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In this paper some examples of sequences of compositions of n independent equally distributed random semigroups in the form of a shift operator generating coherent states in quantum optics have… Click to show full abstract

In this paper some examples of sequences of compositions of n independent equally distributed random semigroups in the form of a shift operator generating coherent states in quantum optics have been studied. Representation of averaged coherent states in quantum optics using a procedure of averaging of random shift operators is obtained. The analytical expression for averaged value of a superposition of shift operators is presented.

Keywords: shift; quantum optics; optics; states quantum; shift operators; coherent states

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018

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