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Physical Review A

Amplitude-squared squeezing in the multiphoton Jaynes-Cummings model: Effect of phases

A.M. Abdel-Hafez, A.‐S. F. Obada

Published Nov 1, 1991• 21 citations
Publisher

Abstract

The phenomenon of amplitude-squared squeezing is investigated for the one- and two-photon Jaynes-Cummings model. The relative phase between the atomic coherent state and the coherent field state is found to affect this phenomenon with larger amounts of squeezing that can be found by changing the angles (\ensuremath{\theta}) for fixed relative phase.

DOI
10.1103/physreva.44.6017

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Physica Scripta•Jul 1, 1992•1 citation
The phenomenon of amplitude-squared squeezing is investigated for the one- and two-photon Jaynes-Cummings model. The relative phase between the atomic coherent state and the coherent field state is found to affect this phenomenon with larger amounts of squeezing that can be found by changing the angles (\ensuremath{\theta}) for fixed relative phase.
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{}.
Amplitude-squared squeezing is investigated for the two-photon Jaynes-Cummings model with the field initially in a squeezed vacuum or a more general squeezed state. For small values of the coherence parameter and large values of the squeeze parameter, the amplitude-squared variances show threefold oscillatory behavior on the long time scale. It is found that a ground-state atom (as against an excited one) leads to considerable enhancement of the input amplitude-squared squeezing. The behavior of photon number squared and its relationship to the amplitude-squared squeezing is commented upon.