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 Modern Optics

Deep squeezing of coherent light in the intensity-dependent Jayne–Cummings model

Chun-rong Fu, Chang-De Gong

Published Apr 1, 1997• 3 citations
Publisher

Abstract

In this paper we have investigated the amplitude squeezing of the intensity-dependent Jayne-Cummings model. An analytic function has been obtained for large [nbar] (mean photon number) to express the light squeezing. We found that the detuning Δ has a favourable effect on the squeezed state. Slightly increasing the detuning can significantly increase the degree of squeezing. The most striking result is that the field can stay in a deep-squeezed state for a long time when Δ/[nbar] is large. Also, for some ranges of the detuning, the maximum squeezing of the field almost does not vary with the change in detuning.

DOI
10.1080/09500349708230686

Related papers

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

Effect of detuning on deep squeezing of coherent light in the Jaynes-Cummings model

Chang-qi Cao, Ding Xiao-hong

The effect of detuning on squeezing of coherent light is studied in the Jaynes-Cummings model and in the large-N (mean photon number) limit. Analytical formulas for quadrature variances are obtained both in the one-photon and two-photon transition cases. In the former case, small detuning only has a small (unfavorable) effect on squeezing. In the latter case, however, the effect of detuning is significant. No squeezing will occur at resonance, and by the presence of detuning, there will be a series of minima appearing in the suppressed quadrature variance during time evolution as happens in the one-photon transition case, with the limit of this series tending to zero. The explicit expressions for the kth minima are also given for fairly large k.

Physical Review A•Nov 1, 1992•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

LONG-TIME BEHAVIOR OF SQUEEZING OF COHERENT LIGHT IN OFF-RESONANCE JAYNES-CUMMINGS MODEL

Chang-qi Cao, Ding Xiao-hong, 北京大学物理系,北京100871

The long-time behavior of squeezing of intense coherent light is studied with off-resonance Jaynes-Cummings model. The interaction between field and atom includes both one-photon transition type and two-photon transition type. The analytical formulae for quadrature variances are obtained. In one-photon transition case, small detuning only has small effect on squeezing. For two-photon transition, however, the situation is quite different. No squeezing will occur in resonance case. Only detuning can cause squeezing. Then a series of minimum appear in the suppressed quadrature variance during time evolution. In Urge N limit this se-ries tends to zero.

Acta Physica Sinica•Jan 1, 1992•0 citations

LONG-TIME BEHAVIOR OF SQUEEZING OF COHERENT LIGHT IN OFF-RESONANCE JAYNES-CUMMINGS MODEL

Chunhong Cao

The long-time behavior of squeezing of intense coherent light is studied with off-resonance Jaynes-Cummings model. The interaction between field and atom includes both one-photon transition type and two-photon transition type. The analytical formulae for quadrature variances are obtained. In one-photon transition case, small detuning only has small effect on squeezing. For two-photon transition, however, the situation is quite different. No squeezing will occur in resonance case. Only detuning can cause squeezing. Then a series of minimum appear in the suppressed quadrature variance during time evolution. In Urge N limit this se-ries tends to zero.

Acta Physica Sinica•Jan 1, 1992•0 citations

Effect of Squeezing on the Atomic and the Entanglement Dynamics in the Jaynes-Cummings Model

T. Subeesh, Vivishek Sudhir, A.B.M.a d Ahmed +1 more

The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state. The effect of mild squeezing on the coherent light is shown to be striking: the photon number distribution gets localized and it peaks maximally for a particular value of squeezing. The atomic inversion retains its structure for a longer time. The mean linear entropy shows that the atom has a tendency to get disentangled from field within the collapse region and also in the revival region, for mild squeezing. These properties are absent for the case of a coherent state or for an excessively squeezed coherent state. We also elucidate a connection between these properties and the photon statistics of the mildly squeezed coherent state; these states have the minimum variance and are also maximally sub-Poissonian.

arXiv:1203.4792•Mar 21, 2012•1 citation
In this paper we have investigated the amplitude squeezing of the intensity-dependent Jayne-Cummings model. An analytic function has been obtained for large [nbar] (mean photon number) to express the light squeezing. We found that the detuning Δ has a favourable effect on the squeezed state. Slightly increasing the detuning can significantly increase the degree of squeezing. The most striking result is that the field can stay in a deep-squeezed state for a long time when Δ/[nbar] is large. Also, for some ranges of the detuning, the maximum squeezing of the field almost does not vary with the change in detuning.
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.
The effect of detuning on squeezing of coherent light is studied in the Jaynes-Cummings model and in the large-N (mean photon number) limit. Analytical formulas for quadrature variances are obtained both in the one-photon and two-photon transition cases. In the former case, small detuning only has a small (unfavorable) effect on squeezing. In the latter case, however, the effect of detuning is significant. No squeezing will occur at resonance, and by the presence of detuning, there will be a series of minima appearing in the suppressed quadrature variance during time evolution as happens in the one-photon transition case, with the limit of this series tending to zero. The explicit expressions for the kth minima are also given for fairly large k.
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{}.
The long-time behavior of squeezing of intense coherent light is studied with off-resonance Jaynes-Cummings model. The interaction between field and atom includes both one-photon transition type and two-photon transition type. The analytical formulae for quadrature variances are obtained. In one-photon transition case, small detuning only has small effect on squeezing. For two-photon transition, however, the situation is quite different. No squeezing will occur in resonance case. Only detuning can cause squeezing. Then a series of minimum appear in the suppressed quadrature variance during time evolution. In Urge N limit this se-ries tends to zero.
The long-time behavior of squeezing of intense coherent light is studied with off-resonance Jaynes-Cummings model. The interaction between field and atom includes both one-photon transition type and two-photon transition type. The analytical formulae for quadrature variances are obtained. In one-photon transition case, small detuning only has small effect on squeezing. For two-photon transition, however, the situation is quite different. No squeezing will occur in resonance case. Only detuning can cause squeezing. Then a series of minimum appear in the suppressed quadrature variance during time evolution. In Urge N limit this se-ries tends to zero.
The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state. The effect of mild squeezing on the coherent light is shown to be striking: the photon number distribution gets localized and it peaks maximally for a particular value of squeezing. The atomic inversion retains its structure for a longer time. The mean linear entropy shows that the atom has a tendency to get disentangled from field within the collapse region and also in the revival region, for mild squeezing. These properties are absent for the case of a coherent state or for an excessively squeezed coherent state. We also elucidate a connection between these properties and the photon statistics of the mildly squeezed coherent state; these states have the minimum variance and are also maximally sub-Poissonian.