Phase properties of field modes in the process of kth harmonic generation

You-Bang Zhan

R. Tanaś, Ts. Gantsog, Roman Zawodny

You-Bang Zhan

In this paper k-order squeezing in kth-harmonic generation is studied. The k-order squeezing of a fundamental can exist if the kth-harmonic is originally in a coherent state including in the vacuum. It is also shown that the normal squeezing of the kth-harmonic depends on the k- order squeezing of the fundamental.

D. Xenakis, Natalia E. Karapanagioti, Costas Fotakis +1 more

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We show that the amplitude Nth-power squeezing can be produced in kth-harmonic generation. The amplitude Nth-power squeezing of the fundamental can exist if the kth harmonic is originally in a coherent state which includes the vacuum. It is also shown that the normal squeezing of the kth harmonic depends on the amplitude kth-power squeezing of the fundamental.

G. Drobný, Vladimír Bužek

We show that in the k-photon down-conversion a fundamental limit on the energy transfer does exist providing the signal mode is initially in the vacuum state and the pump mode is excited. In particular, in the two-photon down-conversion less than 2/3 of the pump energy can be transferred from the pump to the signal mode. With the increase of the order of the nonlinear process under consideration the efficiency is even smaller. On the contrary, we show that no restriction on the efficiency of the energy transfer in the kth harmonic generation does exist, i.e., in this process the total energy from the initially excited mode can be transferred into the mode which initially was in the vacuum state. We study restrictions implied by the fundamental limit on the energy transfer in the k-photon down-conversion on nonclassical effects which can be observed in the signal mode in the process.