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

Optics and Spectroscopy

Statistics and light squeezing in the dissipative two-atom Jaynes-Cummings model

Eugene K. Bashkirov, Русакова Маргарита Сергеевна

Published Jul 1, 2008• 4 citations
Publisher

Abstract

The statistical and fluctuational properties of an electromagnetic field in a nonideal cavity are studied with the help of the collective two-atom Jaynes-Cummings model taking into account losses of photons and spontaneous radiation of atoms into bath modes. For the coherent state of the field and excited initial state of atoms, the general analytical expressions for the second-order field correlation function, the second-order squeezing parameters, and the squared field amplitude are obtained by solving the master equation for the density matrix. The statistics and the degree of squeezing of the cavity field mode are studied as functions of the initial field intensity and of the coefficients of the energy dissipation of the system. It is shown that, for the two-atom dissipative model, compared to the single-atom model, the type of field statistics can be changed and the maximal degree of short-term squeezing can be increased.

DOI
10.1134/s0030400x08070126

Related papers

Field squeezing and statistics in a two-atom dissipative Jaynes-Cummings model

Русакова Маргарита Сергеевна

The temporal behavior of squeezing parameters and second order correlation function is investigated for a two atom dissipative model. The analytic expressions for considering parameters are obtained on the basis of master equation solution for coherent input. An influence of different dissipation mechanisms onto statistics and squeezing are considered.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Mar 3, 2008•0 citations

Dissipative dynamics of nondegenerate two-photon Jaynes-Cummings model

Eugene K. Bashkirov, M. S. Rusakova

A nondegenerate two-photon Jaynes-Cummings model is investigated where the leakage of photon through the cavity is taken into account. The effect of cavity damping on the mean photon number, atomic populations, field statistics and both field and atomic squeezing is considered on the basis of master equation in dressed-state approximation for initial coherent fields and excited atom.

arXiv:quant-ph/0504184•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 11, 2006•0 citations

Squeezing and squared-amplitude squeezing in a two-atom Jaynes-Cummings model with cavity damping and atomic dissipation

Eugene K. Bashkirov, Русакова Маргарита Сергеевна

In this work we considered temporal behavior of squeezing and amplitude-squared squeezing for a two two-level atoms in a finite-Q cavity with atom dissipation. The analytic expressions for squeezing parameters are obtained on the basis of master equation solution for coherent and squeezed input. Squeezing generation conditions are considered for various dissipation parameters values and coherent and squeezed initial input.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Feb 8, 2007•0 citations

Higher-order squeezing oscillations in Jaynes–Cummings model of a pair of cold atoms

N. A. Enaki, V. I. Koroli, Sergiu Bazgan +2 more

We study interaction between a pair of indistinguishable two-level atoms and the single-mode cavity field. It is supposed that the pair of two-level atoms is laser cooled and trapped into the ground vibrational state, in which vibrational quantum number $$\langle n_v\rangle =0$$ . Two Jaynes–Cummings models are investigated. One is the Jaynes–Cummings model with intensity-dependent coupling and the another is the two-photon Jaynes–Cummings model of a pair of indistinguishable two-level atoms. It should be noted that in the present model, at initial moment $$t=0$$ , in intensity-dependent Jaynes–Cummings model the cavity field is prepared in Holstein–Primakoff SU(1,1) CS, while in two-photon Jaynes–Cummings model it is prepared in the squeezed vacuum state. Moreover, at initial moment $$t=0$$ , pair of atoms is supposed to be in the first excited state $$\vert e_1\rangle $$ in both models. By using exact analytical solutions for state-vectors of the coupled atom-field systems amplitude-squared squeezing of the quantized cavity field is examined as a function of the $$\vert \xi \vert $$ parameter. In this situation, in both models higher-order squeezing has the tendency towards oscillations, but exact periodicity of these oscillations is violated by the analogy with the second-order squeezing.

Indian Journal of Physics•Feb 12, 2015•1 citation

Atomic and field squeezing effects in Jaynes-Cummings model with cavity dissipation

Zhang Xianhan

The field squeezing and the atomic dipole squeezing of a two-level atom in a dissipative cavity initially in vacuum are investigated.By means of exact solution of the master equation,the matrix elements of the density operator of the compound atom-field system are obtained.It is found that the cavity dissipation has an obvious influence on the atomic squeezing and the field squeezing under the resonant atom-field interaction.But the effects of the cavity dissipation on both squeezing will decrease under the off-resonance interaction condition.

Journal of Jiangsu University of Science and Technology•Jan 1, 2008•0 citations

TWO-PHOTON QUANTUM-STATISTICAL PROPERTIES OF THE SINGLE-MODE CAVITY FIELD INTERACTING WITH A PAIR OF COLD ATOMS

V. I. Koroli

The interaction between the pair of cold two-level atoms and the single-mode cavity field is investigated. The two-level atoms in the pair are supposed to be indistinguishable. This problem generalizes the two-photon Jaynes-Cummings model of a single two-level atom interacting with the squeezed vacuum. The model of the pair of indistinguishable two-level atoms is equivalent to the problem of the equidistant three-level radiator with equal dipole moment matrix transition elements between the adjacent energy levels. Supposing that at the initial moment the field is in the squeezed vacuum state we obtain the exact analytical solution for the atom-field state-vector. By using this solution the quantum-statistical and squeezing properties of the radiation field are investigated. The obtained results are compared with those for the single two-level atom system. We observe that in the model of the pair of cold two-level atoms the exact periodicity of the squeezing revivals is violated by the analogy with the single two-level atom one.

International Journal of Quantum Information•Jan 1, 2009•7 citations
The statistical and fluctuational properties of an electromagnetic field in a nonideal cavity are studied with the help of the collective two-atom Jaynes-Cummings model taking into account losses of photons and spontaneous radiation of atoms into bath modes. For the coherent state of the field and excited initial state of atoms, the general analytical expressions for the second-order field correlation function, the second-order squeezing parameters, and the squared field amplitude are obtained by solving the master equation for the density matrix. The statistics and the degree of squeezing of the cavity field mode are studied as functions of the initial field intensity and of the coefficients of the energy dissipation of the system. It is shown that, for the two-atom dissipative model, compared to the single-atom model, the type of field statistics can be changed and the maximal degree of short-term squeezing can be increased.
We study interaction between a pair of indistinguishable two-level atoms and the single-mode cavity field. It is supposed that the pair of two-level atoms is laser cooled and trapped into the ground vibrational state, in which vibrational quantum number ⟨nv⟩=0\langle n_v\rangle =0⟨nv​⟩=0 . Two Jaynes–Cummings models are investigated. One is the Jaynes–Cummings model with intensity-dependent coupling and the another is the two-photon Jaynes–Cummings model of a pair of indistinguishable two-level atoms. It should be noted that in the present model, at initial moment t=0t=0t=0 , in intensity-dependent Jaynes–Cummings model the cavity field is prepared in Holstein–Primakoff SU(1,1) CS, while in two-photon Jaynes–Cummings model it is prepared in the squeezed vacuum state. Moreover, at initial moment t=0t=0t=0 , pair of atoms is supposed to be in the first excited state ∣e1⟩\vert e_1\rangle ∣e1​⟩ in both models. By using exact analytical solutions for state-vectors of the coupled atom-field systems amplitude-squared squeezing of the quantized cavity field is examined as a function of the ∣ξ∣\vert \xi \vert ∣ξ∣ parameter. In this situation, in both models higher-order squeezing has the tendency towards oscillations, but exact periodicity of these oscillations is violated by the analogy with the second-order squeezing.
The field squeezing and the atomic dipole squeezing of a two-level atom in a dissipative cavity initially in vacuum are investigated.By means of exact solution of the master equation,the matrix elements of the density operator of the compound atom-field system are obtained.It is found that the cavity dissipation has an obvious influence on the atomic squeezing and the field squeezing under the resonant atom-field interaction.But the effects of the cavity dissipation on both squeezing will decrease under the off-resonance interaction condition.
The interaction between the pair of cold two-level atoms and the single-mode cavity field is investigated. The two-level atoms in the pair are supposed to be indistinguishable. This problem generalizes the two-photon Jaynes-Cummings model of a single two-level atom interacting with the squeezed vacuum. The model of the pair of indistinguishable two-level atoms is equivalent to the problem of the equidistant three-level radiator with equal dipole moment matrix transition elements between the adjacent energy levels. Supposing that at the initial moment the field is in the squeezed vacuum state we obtain the exact analytical solution for the atom-field state-vector. By using this solution the quantum-statistical and squeezing properties of the radiation field are investigated. The obtained results are compared with those for the single two-level atom system. We observe that in the model of the pair of cold two-level atoms the exact periodicity of the squeezing revivals is violated by the analogy with the single two-level atom one.