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Journal of Atomic and Molecular Physics

Cavity field spectrum of nonlinear Jaynes-Cummings modal with Kerr medium

Zhang Gui

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The cavity field spectra for a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated by means of the quantum theory.The cavity field spectrum expression is driven.The numerical results for the initial fields in pure number state,coherent state and squeezed vacuum state are presented.It is found that two-peak structures appear with the initial field in pure number state.The center of the spectrum moves toward the high frequency under the regular of χ(2n-1).And the symmetry of the spectrum is destroyed when the Kerr-effect increase.Under the situation of the coherent state field or squeezed vacuum state with weaker Kerr-effect,the cavity field spectrum presents more non-classical property.When the Kerr-effect is strong the spectrum appears multi-peak structure.The spectrum structure was affected by Kerr-effect mostly.The nonlinear property of the spectrum vanishes because the coupling of the atom and field is suppressed by strong Kerreffect.

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The cavity field spectra for a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated by means of the quantum theory.The cavity field spectrum expression is driven.The numerical results for the initial fields in pure number state,coherent state and squeezed vacuum state are presented.It is found that two-peak structures appear with the initial field in pure number state.The center of the spectrum moves toward the high frequency under the regular of χ(2n-1).And the symmetry of the spectrum is destroyed when the Kerr-effect increase.Under the situation of the coherent state field or squeezed vacuum state with weaker Kerr-effect,the cavity field spectrum presents more non-classical property.When the Kerr-effect is strong the spectrum appears multi-peak structure.The spectrum structure was affected by Kerr-effect mostly.The nonlinear property of the spectrum vanishes because the coupling of the atom and field is suppressed by strong Kerreffect.
The atom emission spectra of a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated.The emission spectrum expression is derived.The numerical results for the initial field in pure number state,coherent state and squeezed vacuum state are calculated,respectively.The influences of Kerr effect and initial field intensity on the spectrum structure are discussed.It is found that Kerr medium affects the symmetry of the spectrum structure for all initial field states except vacuum.When the initial field is pure number state,all peaks of the spectra shift toward right and the left peak(s) rise and right peaks decline along with accretion of Kerr effect.When the initial field is coherent state,two complicated multi-peak structure each like an arched comb appears for strong field.The Kerr effect makes left peaks higher and right peaks lower.When the initial field is squeezed vacuum state,only left sideband appears.The peak-number of the sideband increases due to the accretion of the Kerr effect or the initial field intensity.
The cavity field spectra of two coupling atom Jaynes-Cummings(J-C) model with Kerr-like medium were studied.The calculation results for the initial fields in pure number state and the atom in the upper level were presented.Effects of Kerr medium on the spectral structure were discussed.It is found that every peak frequency get a rise with the increase of the Kerr-effect.Four Rabi peaks appear when the field is vacuum.Two Rabi peaks become weaker until disappearing with χ/g increase.The other two peaks get the highest at χ/g≈0.7 and the peak-space increases gently.When n0,only one peak rises to the highest point,the others reduce until disappearing.The cavity field spectra become single-peak structure.
The cavity field spectrum of a cascade three-level atom interacting with single-mode field with Kerr-like medium in the cavity is investigated. The numerical results for the initial field in pure number state, coherent state and squeezed vacuum state are calculated, respectively. It is found that the Kerr-like medium affects the spectral structure even though the initial field is in vacuum when the atom is in upper level. In the case of strong input field, the number state spectrum shows two peaks with different heights; and the superposition state spectrum shows a multi-peak structure with an equal distance of two neighboring peaks. The spectral ``central frequency" shifts away from the resonant frequency with the increasing of average photon number.
The cavity field spectrum of the nondegenerate two-photon Jayners-Cummings model with an additional Kerr medium is studied.The results for the initial fields in binomial states are presented.It is found that the Kerr medium affected the structure of the spectrum sensitively.When the Kerr-effect enhanced, the distance and number of the peaks are both increase;meanwhile every peak frequency get a rise.The spectrum structure of one mode is affected by the intensity of the other mode.Under the condition of strong initial fields,the complicated multi-peak structure like an arched comb appears for each mode.
The cavity field spectra of two coupling atoms interacting with two squeezed vacuum states of field through Raman process in Kerr medium are studied.By solving the eigen equation,the cavity field spectrum expression is given out and some numerical results are presented.It is found that both the Kerr effect and the atoms coupling influence the spectra structures slightly in the case of weak input field.When the input fields are strong,the highest peak at lift with a multi-peak right sideband spectrum like a half comb appears.Along with the accretion of Kerr effect,the peak-space of the sideband increases and the spectral frequency shifts away from the resonant frequency.A multi-peak spectrum checkered with different height appears with the stronger Kerr effect.
The cavity field spectrum of the nondegenerate two-photon Jayners-Cummings model with an additional Kerr medium is investigated. The results for the initial fields in binomial states are presented. The influence of the Kerr effect on the quantum interference of the two mode cavity field spectra is discussed. It is found that the quantum interference item shows a periodical damped oscillation irregularly when the Kerr effect is increased. The amplitude of the oscillation relate to the difference of the two field frequencies intimately. When the Kerr coefficient χg (g is coupling coefficient between atom and the fields), the change of the quantum interference item is strong with χ. And when χ>g, it is weakly. The cavity field spectra usually take on a complex asymmetric structure with many peaks when Kerr coefficient is large.