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Journal of Shandong Institute of Building Materials

Entropic Squeezing Properties of the Two-Photon Jaynes-Cummings Model by Superposition States

Jin Wei-dong

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The field entropic squeezing properties of the two-photon Jaynes-Cummings model by superposition states are studied.It is shown that the superposition coefficient has great effects on the field entropy squeezing.

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We have studied the properties of the amplitude- N -th powered squeezing of an electromagnetic field in the k -photon Jaynes-Cummings model of an atom initially being in the ground state and coupling with the superposition state. The results show that, under the condition of n ⩾ k , where n is the photon number of the superposition state, the field exhibits not only the amplitude- N = n -th powered squeezing but also the amplitude- N = ( n /2)-th powered squeezing for even n . The variations of the amplitude- N -th powered squeezing of the field with the powers N and k are discussed.
An analysis of the effects of detuning and the superposition angle on amplitude-squared (AS) squeezing is presented for the one- and two-photon Jaynes-Cummings model (JCM) using coherent and squeeze inputs. In the one-photon JCM for squeezed inputs, it is shown that the degree of AS squeezing increases as the detuning increases. The two-photon JCM, on the other hand, displays this characteristic only for coherent input in a small range of values of the detuning. The superposition angle affects the degree of AS squeezing more significantly for a detuned field than for a tuned one. The behavior of AS squeezing becomes independent of the value of the superposition angle in both the models for large initial average photon number, n\ifmmode\bar\else\textasciimacron\fi{}, with any value of detuning and for large detuning with any value of n\ifmmode\bar\else\textasciimacron\fi{}.