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

Chinese Physics Letters

Photon Distribution of a Squeezed Chaotic State

Hong-Yi Fan, Jun Zhou, Xue-xiang Xu, Liyun Hu

Published Apr 1, 2011• 9 citations
Publisher

Abstract

We investigate the photon number distribution of squeezed chaotic field (SCF) (a mixed state), by converting the density operator of SCF into its normally ordered bivariate distribution form we find that it is a Legendre distribution. This is a remarkable result.
DOI
10.1088/0256-307x/28/4/040302

Related papers

On the photon distribution of the two-mode squeezed chaotic state

Jun Zhou, Hong-Yi Fan, Jun Song

We investigate the photon number distribution of the two-mode squeezed chaotic field. By converting the density operator of the two-mode squeezed chaotic field into its normally ordered bivariate distribution form we found a remarkable result that it is a Jacobi distribution and derive corresponding characters of the Jacobi polynomial.

Physica Scripta•Sep 8, 2011•0 citations

Time evolution of a squeezed chaotic field in an amplitude damping channel when used as a generating field for a squeezed number state

徐兴磊, 李洪奇, 范洪义

We investigate how an optical squeezed chaotic field(SCF) evolves in an amplitude dissipation channel. We have used the integration within ordered product of operators technique to derive its evolution law. We also show that the density operator of SCF can be viewed as a generating field of the squeezed number state.

中国物理B：英文版•Jan 1, 2015•0 citations

Oscillation behaviour in the photon-number distribution of squeezed coherent states

Wang Shuai, 张晓燕, 范洪义

From the normally ordered form of the density operator of a squeezed coherent state(SCS),we directly derive the compact expression of the SCS’s photon-number distribution(PND).Besides the known oscillation characteristics,we find that the PND is a periodic function with a period of π and extremely sensitive to phase.If the squeezing is strong enough,and the compound phase which is relevant to the complex squeezing and displacement parameters are assigned appropriate values,different oscillation behaviours in PND for even and odd photon numbers appear,respectively.

中国物理B：英文版•Jan 1, 2012•0 citations

Time evolution of a squeezed chaotic field in an amplitude damping channel when used as a generating field for a squeezed number state

Xing-Lei Xu, Hongqi Li, Hong-Yi Fan

We investigate how an optical squeezed chaotic field (SCF) evolves in an amplitude dissipation channel. We have used the integration within ordered product of operators technique to derive its evolution law. We also show that the density operator of SCF can be viewed as a generating field of the squeezed number state.

Chinese Physics B•Jun 25, 2015•2 citations

Oscillation behaviour in the photon-number distribution of squeezed coherent states

Shuai Wang, Xiaoyan Zhang, Hong-Yi Fan

From the normally ordered form of the density operator of a squeezed coherent state (SCS), we directly derive the compact expression of the SCS's photon-number distribution (PND). Besides the known oscillation characteristics, we find that the PND is a periodic function with a period of π and extremely sensitive to phase. If the squeezing is strong enough, and the compound phase which is relevant to the complex squeezing and displacement parameters are assigned appropriate values, different oscillation behaviours in PND for even and odd photon numbers appear, respectively.

Chinese Physics B•May 1, 2012•8 citations

Evolution of the single-mode squeezed vacuum state in amplitude dissipative channel

Hong-Yi Fan, Shuai Wang, Liyun Hu

Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show manifestly how the initial density operator of a single-mode squeezed vacuum state evolves into a definite mixed state which turns out to be a squeezed chaotic state with decreasing-squeezing and decoherence. We investigate average photon number, photon statistics distributions for this mixed state.

arXiv:1112.1159•Frontiers of Physics•Sep 25, 2013•8 citations
From the normally ordered form of the density operator of a squeezed coherent state(SCS),we directly derive the compact expression of the SCS’s photon-number distribution(PND).Besides the known oscillation characteristics,we find that the PND is a periodic function with a period of π and extremely sensitive to phase.If the squeezing is strong enough,and the compound phase which is relevant to the complex squeezing and displacement parameters are assigned appropriate values,different oscillation behaviours in PND for even and odd photon numbers appear,respectively.
From the normally ordered form of the density operator of a squeezed coherent state (SCS), we directly derive the compact expression of the SCS's photon-number distribution (PND). Besides the known oscillation characteristics, we find that the PND is a periodic function with a period of π and extremely sensitive to phase. If the squeezing is strong enough, and the compound phase which is relevant to the complex squeezing and displacement parameters are assigned appropriate values, different oscillation behaviours in PND for even and odd photon numbers appear, respectively.
Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show manifestly how the initial density operator of a single-mode squeezed vacuum state evolves into a definite mixed state which turns out to be a squeezed chaotic state with decreasing-squeezing and decoherence. We investigate average photon number, photon statistics distributions for this mixed state.