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

Advances in Optics

Field Squeezing in a Quantum-Dot Molecule Jaynes-Cummings Model

Xu Chu, Xiao-Dong Ma, Ying Wang, Qingchun Zhou, Yu Long Zhou

Published Jul 3, 2014• 0 citations
Publisher

Abstract

We investigate the field squeezing in a system composed of an initial coherent field interacting with two quantum dots coupled by electron tunneling. An approximate quantum-dot molecule Jaynes-Cummings model describing the system is given, and the effects of physical quantities, such as the temperature, phonon-electron interaction, mean photon number, field detuning, and tunneling-level detuning, are discussed in detail.

DOI
10.1155/2014/395836

Related papers

SQUEEZING IN A TWO-PHOTON JAYNES-CUMMINGS MODEL

GU QIAO, 西北大学物理系

The quatum statistical properties of two-photon radiation from two-level atomic system are investigated by using complete set in the nth subspace of generalized Jaynes-Cummings hamiltonian, and the general expression for field variance is obtained. The conditions for optimum squeezing as well as the optimum squeezed quantity are found out for an arbitrary initial state, and the time evolution of the optimum squeezed state is then analysed. As an example, the squeezing in an initial state with bare atomic system in thermal equilibrium is discussed, which demonstrates the dependence of squeezing on several parameters, such as, temperature, detuning, coupling strength. The conditions for squeezing are given analytically and numerically. Finally, the physical picture of the squeezing is pointed out.

Acta Physica Sinica•Jan 1, 1988•2 citations

Deep squeezing of coherent light in Jaynes-Cummings model

Chang-qi Cao, Ding Xiao-hong

First, the effect of detuning on squeezing of coherent light is studied by Jaynes-Cummings model in a large N (initial mean photon number) limit. Analytical formulae for quadrature variances are obtained both in one-photon and two-photon transition cases. These formulae show that the effect is quite different in these two cases. In addition, explicit expressions for the k-th minimum of the suppressed variance are given when k is fairly large, which obviously shows it tends to zero according to 1/k2. Second, squeezing of coherent light field in a cavity by repeated interaction with atoms is studied. Numerical calculation shows the variance (delta) can be reduced by this process to a certain extent for suitably chosen interaction time t. But the squeezing becomes worse if the number of times K is too large. In the two-photon transition case, with a favorably chosen value of t, analytical formulae for (delta) (N, K) are obtained in large N approximation. These formulae show definitely that the least variance (delta) goes down when K increases up to quite a large value, and the achievable minimum value of (delta) 2 is in the order of 1/N1/2. Besides, the light field so obtained is nearly in a pure state with a minimum uncertainty product (delta) 1(delta) 2 equals 1/4.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 28, 1992•0 citations

Two-photon Jaynes-Cummings model interacting with the squeezed vacuum

Christopher C. Gerry

We consider squeezed light described as an SU(1,1) coherent state interacting with a two-photon Jaynes-Cummings model of a two-level atom. We study the time variation of the mean photon number and also the variance of the field quadratures with particular regard to the squeezing.

Physical Review A•Apr 1, 1988•123 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

Amplitude-squared squeezing in the multiphoton Jaynes-Cummings model: Effects of the atomic coherent states and detuning

Mubeen A. Mir

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{}.

Physical Review A•May 1, 1993•10 citations

ATOMIC DIPOLE SQUEEZING IN OFF RESONANCE TWO-PHOTON JAYNES-CUMMINGS MODEL

You-Bang Zhan, 淮阴师范专科学校物理系,中国高等科学技术中心(世界实验室)

In the present paper, considering the detuning and the initial atomic coherence, dipole squeezing in two-photon Jaynes-Cummings model is investigated by means of the time-evolution operator method. The influence of the frequency detuning on the dipole squeezing in interaction of field with atom and the relation between the mean photon number and the dipole squeezing are studied by numerical calculations.

Acta Physica Sinica•Jan 1, 1994•0 citations
We investigate the field squeezing in a system composed of an initial coherent field interacting with two quantum dots coupled by electron tunneling. An approximate quantum-dot molecule Jaynes-Cummings model describing the system is given, and the effects of physical quantities, such as the temperature, phonon-electron interaction, mean photon number, field detuning, and tunneling-level detuning, are discussed in detail.
The quatum statistical properties of two-photon radiation from two-level atomic system are investigated by using complete set in the nth subspace of generalized Jaynes-Cummings hamiltonian, and the general expression for field variance is obtained. The conditions for optimum squeezing as well as the optimum squeezed quantity are found out for an arbitrary initial state, and the time evolution of the optimum squeezed state is then analysed. As an example, the squeezing in an initial state with bare atomic system in thermal equilibrium is discussed, which demonstrates the dependence of squeezing on several parameters, such as, temperature, detuning, coupling strength. The conditions for squeezing are given analytically and numerically. Finally, the physical picture of the squeezing is pointed out.
First, the effect of detuning on squeezing of coherent light is studied by Jaynes-Cummings model in a large N (initial mean photon number) limit. Analytical formulae for quadrature variances are obtained both in one-photon and two-photon transition cases. These formulae show that the effect is quite different in these two cases. In addition, explicit expressions for the k-th minimum of the suppressed variance are given when k is fairly large, which obviously shows it tends to zero according to 1/k2. Second, squeezing of coherent light field in a cavity by repeated interaction with atoms is studied. Numerical calculation shows the variance (delta) can be reduced by this process to a certain extent for suitably chosen interaction time t. But the squeezing becomes worse if the number of times K is too large. In the two-photon transition case, with a favorably chosen value of t, analytical formulae for (delta) (N, K) are obtained in large N approximation. These formulae show definitely that the least variance (delta) goes down when K increases up to quite a large value, and the achievable minimum value of (delta) 2 is in the order of 1/N1/2. Besides, the light field so obtained is nearly in a pure state with a minimum uncertainty product (delta) 1(delta) 2 equals 1/4.
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.
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{}.