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Journal of Yangtze University

The Effect of Amplitude-squared Squeezing of Light Field in Nonliner J-C Model Containing Time

Qinghua Cheng

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

When the light field was initially in the coherent state and the atom was in the excited state,the effect of amplitude-squared squeezing of light field in the nonliner model containing time was discussed.It was found that average photon numbers and the pulse width had greatly influence on the depth and the time of squeezing.When the pulse width is certain value,the squeezing depth increases with average photon numbers increasing.When the average photon numbers is certain value,the times and time of squeezing gradually increase with the pulse width increasing.

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Journal of Yangtze University•Jan 1, 2006•0 citations
When the light field was initially in the coherent state and the atom was in the excited state,the effect of amplitude-squared squeezing of light field in the nonliner model containing time was discussed.It was found that average photon numbers and the pulse width had greatly influence on the depth and the time of squeezing.When the pulse width is certain value,the squeezing depth increases with average photon numbers increasing.When the average photon numbers is certain value,the times and time of squeezing gradually increase with the pulse width increasing.
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.
Amplitude-squared (AS) squeezing has been investigated for the m-photon Jaynes-Cummings model assuming the field to be initially in the squeezed states. The role played by intensity-dependent coupling has also been discussed. It has been shown that for the large initial average photon number [Formula: see text] with odd values of m, AS squeezing revokes permanently whereas with even values it recurs periodically. As m increases the revocation is hastened and the duration of occurrence decreases. Higher values of m for the initial field in a squeezed vacuum state can make one of the quadrature permanently squeezed. The AS squeezing behavior for two initial states of the atom, i.e., ground state versus excited state is also compared.
The atomic dipole amplitude-squared squeezing effects of a Ξ-type three-level atom interacting with two-mode entangled coherent states are investigated.The effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of the atomic initial state,the detuning,the mean photon number and the atom-field coupling constant on the atomic dipole amplitude-squared squeezing are analyzed.The results indicate that the light squeezing effects depend on the degree of entanglement of the two-mode entangled coherent optical fields,the detuning,the mean photon numbers,the atom-field coupling constant and the atomic initial state.
Using the multiphoton Jaynes-Cummings model,the squeezing effect of the field in the system of a two-level atom interacting with the single mode coherent field through mutiphoton transition was studied.The frequency of the field varying with time in the form of sine was considered.The influences of amplitude and angular frequency of the field-frequency variation on squeezing effects of the field were discussed by numerical calculations.The influences of mean photon number of the field on squeezing effects of the field were also discussed.Calculation results indicate that the squeezing effects of field strengthens with the increase of the amplitude u of field-frequency variation and weaken with the increase of mean photon number of the field.The time-evolution behavior of quadrature squeezing function Q1 is modulated by the field-frequency variation.The modulation intensity is enchanced with the increase of the amplitude u of field-frequency variation,and when the amplitude u of field-frequency variation is larger than a fixed value,the time-evolution of quadrature squeezing function Q1 will display quasi-periodicity oscillation behavior.Its oscillation frequency agrees with the angular frequency of field-frequency variation.
The dynamic behavior of atoms in time-dependent nonlinear J-C model is studied. The influ- ence of pulse width and average photon number on dynamic behavior of atoms as the atoms are cou- pled with photon field in the form of time pulse is discussed. The result shows that when the average photon number is fixed in the field,with the increase of pulse width,the collapse and revival number are enhanced,while the time of collapse and period of revival are reduced. When the pulse width is fixed,the time of collapse and revival period are reduced gradually with the increase of pulse width in the field.