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

Physical Review A

Fourth-order squeezing in the multiphoton Jaynes-Cummings model

Fam Le Kien, M. Kozierowski, Tran Quang

Published Jul 1, 1988• 59 citations
Publisher

Abstract

Hong and Mandel's concept of higher-order squeezing [Phys. Rev. Lett. 54, 323 (1985); Phys. Rev. A 32, 974 (1985)] is applied to the generalized multiphoton Jaynes-Cummings model of a single two-level atom interacting with an initially coherent cavity-field mode. The fourth-order squeezing is examined. The field is shown to be intrinsically squeezed to this order for the photon multiple m\ensuremath{\ge}4.

DOI
10.1103/physreva.38.263

Related papers

Squeezing and higher-order squeezing in one- and two-photon Jaynes-Cummings models

Christopher C. Gerry, Patrick J. Moyer

We consider the squeezing of the electromagnetic field resulting form the interaction of light in a coherent state with one- and two-photon Jaynes-Cummings models of the two-level atom. We also consider high-order squeezing in the sense of Hong and Mandel [Phys. Rev. Lett. 54, 323 (1985)] and also of Hillery [Phys. Rev. A 36, 3796 (1987)].

Physical Review A•Dec 1, 1988•64 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

Reduced quantum fluctuations and higher-order squeezing of a nonlinear Jaynes-Cummings model

M. H. Mahran

The nonlinear Jaynes-Cummings model is investigated for squeezing and higher-order squeezing produced from the interaction of the model with two coherent modes. Squeezing of the matter operators is also considered. Two-mode squeezing and higher-order two-mode squeezing are investigated for the present model. We found that squeezing produced using the concept of two-mode squeezing is more effective than squeezing produced using the single-mode-squeezing concept. It is shown that squeezing of the field can be enhanced for small n\ifmmode\bar\else\textasciimacron\fi{}=0 and m\ifmmode\bar\else\textasciimacron\fi{}=0 when the atom is initially in a coherent superposition state.

Physical Review A•Apr 1, 1992•14 citations

Squeezing and higher-order squeezing in the three-level, two-mode system

M. H. Mahran

We consider squeezing of the electromagnetic field resulting from the interaction of the three-level ssV-shaped atom with two modes initially taken in coherent-state representation. We also consider higher-order squeezing in the sense of Hong and Mandel [Phys. Rev. Lett. 54, 323 (1985)] and then in the sense of Hillery [Phys. Rev. A 36, 3796 (1987)]. We calculate the two-mode squeezing proposed in [J. Mod. Opt. 34, 709 (1987)] and the sum squeezing defined by Hillery [Phys. Rev. A 40, 3147 (1989)] for an atom starting initially at its ground state.

Physical Review A•Oct 1, 1990•20 citations

Multiphoton model for the interaction of single-mode squeezed-state light with a two-level atom

Shaozheng Jin

Multiphoton interaction of single-mode squeezed-state light and a two-level atom is considered based on the K-photon Jaynes–Cummings model. Time evolution of quantum fluctuation and photon statistical properties of the initial squeezing light are discussed. It is found that through interaction with a two-level atom, larger squeezing levels cannot be achieved in one-photon or multiphoton processes. For photon antibunching behavior of the light field, it is shown that a smaller initial squeezing level and an appropriately larger coherent part of the initial average photon number of the radiation field favor the generation of this nonclassical behavior, especially in the lower-order interaction processes.

Journal of the Optical Society of America B•Mar 1, 1991•2 citations

A comparative Study of Atomic Entanglement in Single Mode Jaynes Cummings Model with Multiphoton Interaction

Amrita Amrita, Rohit Singh

The single-mode m photon Jaynes Cummings model is an effective two-level atom interacting with a cavity field of frequency  viam-photon process.

International Journal of Advanced Science and Engineering•May 18, 2022•0 citations
Hong and Mandel's concept of higher-order squeezing [Phys. Rev. Lett. 54, 323 (1985); Phys. Rev. A 32, 974 (1985)] is applied to the generalized multiphoton Jaynes-Cummings model of a single two-level atom interacting with an initially coherent cavity-field mode. The fourth-order squeezing is examined. The field is shown to be intrinsically squeezed to this order for the photon multiple m\ensuremath{\ge}4.
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 nonlinear Jaynes-Cummings model is investigated for squeezing and higher-order squeezing produced from the interaction of the model with two coherent modes. Squeezing of the matter operators is also considered. Two-mode squeezing and higher-order two-mode squeezing are investigated for the present model. We found that squeezing produced using the concept of two-mode squeezing is more effective than squeezing produced using the single-mode-squeezing concept. It is shown that squeezing of the field can be enhanced for small n\ifmmode\bar\else\textasciimacron\fi{}=0 and m\ifmmode\bar\else\textasciimacron\fi{}=0 when the atom is initially in a coherent superposition state.
We consider squeezing of the electromagnetic field resulting from the interaction of the three-level ssV-shaped atom with two modes initially taken in coherent-state representation. We also consider higher-order squeezing in the sense of Hong and Mandel [Phys. Rev. Lett. 54, 323 (1985)] and then in the sense of Hillery [Phys. Rev. A 36, 3796 (1987)]. We calculate the two-mode squeezing proposed in [J. Mod. Opt. 34, 709 (1987)] and the sum squeezing defined by Hillery [Phys. Rev. A 40, 3147 (1989)] for an atom starting initially at its ground state.
Multiphoton interaction of single-mode squeezed-state light and a two-level atom is considered based on the K-photon Jaynes–Cummings model. Time evolution of quantum fluctuation and photon statistical properties of the initial squeezing light are discussed. It is found that through interaction with a two-level atom, larger squeezing levels cannot be achieved in one-photon or multiphoton processes. For photon antibunching behavior of the light field, it is shown that a smaller initial squeezing level and an appropriately larger coherent part of the initial average photon number of the radiation field favor the generation of this nonclassical behavior, especially in the lower-order interaction processes.