Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Atomic and Molecular Physics

Effect of the Stark shift on the cavity field spectra of the Jaynes-Cummings model

Gao Yun-feng

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The cavity field spectrum of an atom interacting with a field in the presence of Stark shift is investigated. By solving the eigen equation, The expression of the cavity field spectrum is given out. Some numerical results for the initial field in pear number state are presented. The effects of Stark shift and initial photon number on the spectral structure are discussed. It is found that two Rabi peaks with equal height appear when the initial field is vacuum. Along with the accretion of Stark shift, the both peaks shift to lower frequency and the peak-space increases. In the case of strong input field, the heights of the two peaks are no longer equal. The Stark shift coefficient can be detected by measuring the relative height of the two peaks. With increasing of the Stark shift coefficient, the two peaks shift also to lower frequency but the peak-space decrease. In the case of weak input field, one of the two Stark shift coefficient affects one peak's height respectively. The spectral structure can be affected by the photon number and by one or two of the Stark sift coefficient sensitively.

Related papers

Effects of Stark shift on the cavity field spectra of an atom interacting with two modes squeezed vacuum fields

Zhang Gui

The cavity field spectrum of an atom interacting with two-mode squeezed vacuum fields in the presence of Stark shift is investigated.The expression of cavity field spectrum and some numerical results are presented.The effects of Stark shift and initial field intensity on the spectrum structure are discussed.It is found that the peak positions are sensitive to the Stark-shift while the peak heights are not under the condition of weak initial fields.Whenn1=n2≥2,the central peak of each mode rises and the other peaks reduce along with the accretion of the Stark-shift coefficients.Various spectral structures may be gained by changing of the Stark-shift coefficients or initial fields.

Journal of Atomic and Molecular Physics•Jan 1, 2008•0 citations

Atomic emission and cavity field spectra for a two-photon Jaynes–Cummings model in the presence of the Stark shift

Tahira Nasreen, M. S. K. Razmi

The emission spectrum of the atom and the cavity field spectrum of the two-photon Jaynes–Cummings model are studied, with the input field assumed to be in a number state, a thermal state, a squeezed vacuum state, and a coherent state. The effects of the Stark shift are highlighted. Both the emission and the cavity field spectra show central two-peak structures and no sidebands. A comparison with the one-photon Jaynes–Cummings model is carried out.

Journal of the Optical Society of America B•Jul 1, 1993•40 citations

Influence of AC-Stark shift on cavity field spectra in the non-degenerate Raman process

Gao Yun-feng, Feng Jian, (1)聊城大学光通信研究所,聊城 252059;中国科学院武汉物理与数学研究所波谱与原子分子物理国家重点实验室,武汉 430071; (2)聊城大学教育技术系,聊城 252059

The cavity field spectrum of an atom interacting with two-mode field through non-degenerate Raman coupling with the presence of AC-Stark shift in an ideal cavity is investigated. The results for the atom in the low-level state and the initial fields in pure number states, coherent states, and squeezed vacuum states are calculated. When the initial fields are in number states, the three-peak structure of each model cavity field spectra appear for weak fields, and two-peak or single-peak structure appear for strong fields. When both field modes are in a superposition of number states initially, the cavity field spectra are generally of two-peak structure. With the increase of γ=g2/g1,one peak rises and the other peak reduces.

Acta Physica Sinica•Jan 1, 2004•1 citation

Cavity Field Spectra of Two Coupling Atoms in a Cavity with Kerr Medium

Gao Yun-feng

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.

Journal of Optoelectronics·laser•Jan 1, 2005•0 citations

Influence of Kerr effect on atom emission spectra of nonlinear Jaynes-Cummings model

Gao Yun-feng

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.

Journal of Atomic and Molecular Physics•Jan 1, 2007•0 citations

EFFECT OF THE DYNAMIC SHIFT ON THE QUANTUM ELECTRODYNAMICS OF AN ATOM MAKING TWO-PHOTONS IN AN IDEAL CAVITY

Tahira Nasreen

In this thesis, we investigate the effect of the dynamical Stark shift on the quantum electrodynamics of an atom undergoing two-photon transitions, interacting with a quantized radiation field in an ideal cavity. To begin with, we discuss the dynamics of the electromagnetic field and the atom in the presence of the Stark shift. We derive closed expressions for the second-order coherence function, quadrature variances, atomic population inversion and dipole squeezing under the approximation of a large initial photon number and coherent or squeezed field input. We show that for an atom initially in the ground state, the inclusion of Stark shift reduces the field squeezing as well as the antibunching. Both the population inversion and the dipole squeezing exhibit phase sensitivity in the presence of Stark shift and for a particular choice of the relative phase of the two atomic levels "trapping" occurs in a two-level atom and the dipole is modified in such a way that it is permanently squeezed. We then discuss the effect of the stark shift on the emission spectrum of an atom and the cavity field spectrum. The inclusion of Stark shift results in asymmetric vacuum field Rabi splitting. We also study the dynamics of the combined atom-field wave function in the presence of the Stark shift and show that both the electromagnetic field and the atom periodically evolve to pure states which are radically different from those in the absence of the Stark shift. Finally, we study the nondegenerate two-photon Jaynes-Cummings model (NTPJCM) in the presence of the Stark shift and show that the dynamics of the NTPJCM in the presence of Stark shift is qualitatively different from the case of the absence of the Stark shift and radically different from the case of degenerate two-photon JCM in the presence of Stark shift.

•Jan 1, 1992•0 citations
The cavity field spectrum of an atom interacting with a field in the presence of Stark shift is investigated. By solving the eigen equation, The expression of the cavity field spectrum is given out. Some numerical results for the initial field in pear number state are presented. The effects of Stark shift and initial photon number on the spectral structure are discussed. It is found that two Rabi peaks with equal height appear when the initial field is vacuum. Along with the accretion of Stark shift, the both peaks shift to lower frequency and the peak-space increases. In the case of strong input field, the heights of the two peaks are no longer equal. The Stark shift coefficient can be detected by measuring the relative height of the two peaks. With increasing of the Stark shift coefficient, the two peaks shift also to lower frequency but the peak-space decrease. In the case of weak input field, one of the two Stark shift coefficient affects one peak's height respectively. The spectral structure can be affected by the photon number and by one or two of the Stark sift coefficient sensitively.
The cavity field spectrum of an atom interacting with two-mode squeezed vacuum fields in the presence of Stark shift is investigated.The expression of cavity field spectrum and some numerical results are presented.The effects of Stark shift and initial field intensity on the spectrum structure are discussed.It is found that the peak positions are sensitive to the Stark-shift while the peak heights are not under the condition of weak initial fields.Whenn1=n2≥2,the central peak of each mode rises and the other peaks reduce along with the accretion of the Stark-shift coefficients.Various spectral structures may be gained by changing of the Stark-shift coefficients or initial fields.
The cavity field spectrum of an atom interacting with two-mode field through non-degenerate Raman coupling with the presence of AC-Stark shift in an ideal cavity is investigated. The results for the atom in the low-level state and the initial fields in pure number states, coherent states, and squeezed vacuum states are calculated. When the initial fields are in number states, the three-peak structure of each model cavity field spectra appear for weak fields, and two-peak or single-peak structure appear for strong fields. When both field modes are in a superposition of number states initially, the cavity field spectra are generally of two-peak structure. With the increase of γ=g2/g1,one peak rises and the other peak reduces.
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 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.
In this thesis, we investigate the effect of the dynamical Stark shift on the quantum electrodynamics of an atom undergoing two-photon transitions, interacting with a quantized radiation field in an ideal cavity. To begin with, we discuss the dynamics of the electromagnetic field and the atom in the presence of the Stark shift. We derive closed expressions for the second-order coherence function, quadrature variances, atomic population inversion and dipole squeezing under the approximation of a large initial photon number and coherent or squeezed field input. We show that for an atom initially in the ground state, the inclusion of Stark shift reduces the field squeezing as well as the antibunching. Both the population inversion and the dipole squeezing exhibit phase sensitivity in the presence of Stark shift and for a particular choice of the relative phase of the two atomic levels "trapping" occurs in a two-level atom and the dipole is modified in such a way that it is permanently squeezed. We then discuss the effect of the stark shift on the emission spectrum of an atom and the cavity field spectrum. The inclusion of Stark shift results in asymmetric vacuum field Rabi splitting. We also study the dynamics of the combined atom-field wave function in the presence of the Stark shift and show that both the electromagnetic field and the atom periodically evolve to pure states which are radically different from those in the absence of the Stark shift. Finally, we study the nondegenerate two-photon Jaynes-Cummings model (NTPJCM) in the presence of the Stark shift and show that the dynamics of the NTPJCM in the presence of Stark shift is qualitatively different from the case of the absence of the Stark shift and radically different from the case of degenerate two-photon JCM in the presence of Stark shift.