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

College Physics

On the natural representation of two-mode squeezing operator——entangled state representation

Hong Liu

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

Using a simple unitary transformation,this paper derives the expression of two mode squeezing operator in the entangled state representation.Same method is applied in obtaining the two mode squeezing operator in the coordinate and momentum representation.

Related papers

New Representation for Squeezing-Rotating Entangled Unitary Transformation

Fan Hong-Yi, Fan Yue

We introduce a new unitary operator which can engender a squeezing and rotating entangled transformation. The operator has a concise expression in a new representation in two-mode Fock space. The normally ordered form of can be derived by using the technique of integration within an ordered product of operators. The fluctuation in quadrature phases for these squeezing-rotating entangled states are analyzed.

Communications in Theoretical Physics•Jun 15, 2000•14 citations

One-Sided Squeezing for Two Special Kinds of Tripartite Entangled States

Fan Hong‐Yi, Weijun Gui

Based on two mutual conjugate tripartite entangled states and we generalize the two-mode one-sided squeezing operators to three-mode case. We derive how the tripartite entangled states transform under the three-mode squeezing operators. We conclude that the entangled state representations provide a convenient basis for deriving various three-mode squeezing operators.

Communications in Theoretical Physics•Oct 15, 2004•2 citations

The squeezing entangled state of two particles with unequal mass

Yang Yang, Hong-Yi Fan

For two unequal-mass particles, we construct the entangled state representation and then derive the corresponding squeezing operator. This squeezing operator has a natural realization in the entangled state representation, which exhibits the intrinsic relation between squeezing and quantum entanglement. This squeezing operator involves both two-mode squeezing and the direct product of two single-mode squeezings. The maximum squeezing occurs when the two particles possess equal mass. When the two particles' mass difference becomes large, the component of the two single-mode squeezings becomes dominant.

Chinese Physics B•Mar 1, 2013•1 citation

One-Sided Squeezing for Two Special Kinds of Tripartite Entangled States

FANHong-Yi, GUIWei-Jun

Based on two mutual conjugate tripartite entangled states |η, σ〉θ and |ζ, τ〉θ we generalize the two-mode one-sided squeezing operators to three-mode case. We derive how the tripartite entangled states transform under the three-mode squeezing operators. We conclude that the entangled state representations provide a convenient basis for deriving various three-mode squeezing operators.

理论物理通讯:英文版•Jan 1, 2004•0 citations

New Representation of Rotation Operator and Its Application

Shuai Wang, Jiang Ji-Jian, Hongqi Li

By employing the technique of integration within an ordered product of operators, we derive natural representations of the rotation operator, the two-mode Fourier transform operator and the two-mode parity operator in entangled state representations. As an application, it is proved that the rotation operator constructed by the entangled state representation is a useful tool to solve the exact energy spectra of the two-mode harmonic oscillators with coordinate-momentum interaction.

Chinese Physics Letters•Jun 1, 2009•5 citations

Physical interpretation of generalized two-mode squeezing operator revealed by virtue of the transformation of entangled state representation

Fuping Gao, Y.X. Wang, Heng Fan +1 more

By virtue of the integration method within P-ordered product of operators and the property of entangled state representation, we reveal new physical interpretation of the generalized two-mode squeezing operator (GTSO), and find it be decomposed as the product of free-space propagation operator, single-mode and two-mode squeezing operators, as well as thin lens transformation operator. This docomposition is useful to design of opticl devices for generating various squeezed states of light. Transformation of entangled state representation induced by GTSO is emphasized.

arXiv:1511.04833•Nov 16, 2015•1 citation
For two unequal-mass particles, we construct the entangled state representation and then derive the corresponding squeezing operator. This squeezing operator has a natural realization in the entangled state representation, which exhibits the intrinsic relation between squeezing and quantum entanglement. This squeezing operator involves both two-mode squeezing and the direct product of two single-mode squeezings. The maximum squeezing occurs when the two particles possess equal mass. When the two particles' mass difference becomes large, the component of the two single-mode squeezings becomes dominant.
By virtue of the integration method within P-ordered product of operators and the property of entangled state representation, we reveal new physical interpretation of the generalized two-mode squeezing operator (GTSO), and find it be decomposed as the product of free-space propagation operator, single-mode and two-mode squeezing operators, as well as thin lens transformation operator. This docomposition is useful to design of opticl devices for generating various squeezed states of light. Transformation of entangled state representation induced by GTSO is emphasized.