Frequency up-conversion of an even coherent state

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Abstract

The problem of transferring the state of even coherent states from a low frequency to a high frequency is theoretically considered using a periodically-poled nonlinear crystal. With the help of the Wigner quasi-probability distribution function, a parallel implementation of two nonlinear processes is studied: parametric and sum frequency generation.

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About the authors

A. V. Belinsky

Lomonosov Moscow State University

Email: ranjit.singh@mail.ru

Faculty of Physics

Russian Federation, Moscow

R. Singh

Lomonosov Moscow State University

Author for correspondence.
Email: ranjit.singh@mail.ru

Faculty of Physics

Russian Federation, Moscow

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2. Fig. 1. Phase portrait of the mode state. The average number of photons in the mode is in a superposition of coherent states (Schrödinger cat) and is equal to at ξ = 0. From here on, the pumping of the mode is assumed to be inexhaustible.

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3. Fig. 2. Phase portrait of the mode state. The average number of photons in the mode is in a superposition of coherent states, and the mode is in a vacuum state. In this case, the reduced interaction length x = 0.

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4. Fig. 3. Phase portrait of the mode state. The average number of photons in the mode is in a superposition of coherent states, and the mode is in a vacuum state. In this case, the reduced interaction length ξ = 1.2, and the coupling coefficient y = 0.9.

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