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 B

The squeezing entangled state of two particles with unequal mass

Yang Yang, Hong-Yi Fan

Published Mar 1, 2013• 1 citation
Publisher

Abstract

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.

DOI
10.1088/1674-1056/22/3/030306

Related papers

Squeezing for Entangled States of Two Entangled Particles with Different Masses

Zhiqiang Li, Fan Hong‐Yi

Using the technique of integration within an ordered product of operators we present a convenient approach for introducing the squeezing operator for the entangled states of two entangled particles with different masses. We also introduce one-sided squeezing operators.

Communications in Theoretical Physics•Aug 1, 2008•0 citations

Entanglement of the Common Eigenvector of Two Particles' Center-of-Mass Coordinate and Mass-Weighted Relative Momentum

Fan Hong‐Yi, Sun Ming-zhai

We reveal that the common eigenvector of two particles' center-of-mass coordinate and mass-weighted relative momentum is an entangled state. Its Schmidt decomposition exhibits that the entanglement involves squeezing which depends on the ratio of two particles' masses. The corresponding entangling operators are derived.

Communications in Theoretical Physics•May 15, 2002•1 citation

New squeezing operator derived using the bipartite coherent entangled state representation

Hong-Yi Fan, Xubing Tang

Using the newly constructed bipartite coherent entangled state, we derive the corresponding squeezing operators, which have their own squeezing properties, in a natural way. The derivation is based on the method of integration within an ordered product of operators and the completeness relation of the bipartite coherent entangled state.

Journal of Optics B Quantum and Semiclassical Optics•Nov 23, 2005•8 citations

Multipartite entangled state representation and squeezing of then-pair entangled state

Junhua Chen, Hong-Yi Fan, Gang Ren

We show that the best way to study the relationship between quantum entanglement and quantum squeezing for the multimode case is through constructing the new n -pair entangled state representation . The explicit form of the 2 n -mode squeezing operator which squeezes the n -pair entangled state can be directly derived via the transition from to where M is an n × n complex matrix, and the technique of integration within an ordered product of operators. We also analyze the squeezing properties of the 2 n -mode squeezed state for M being Hermitian, and obtain the variances of the 2 n -mode quadrature operators in the 2 n -mode squeezed vacuum state with a concise result; the condition for reaching the minimum of the uncertainty relationship is also investigated.

Journal of Physics A Mathematical and Theoretical•May 26, 2010•3 citations

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

Hong Liu

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.

College Physics•Jan 1, 2001•0 citations

New Three-Mode Einstein-Podolsky-Rosen Entangled State Representation and Its Application in Squeezing Theory

Fan Hong-Yi, Nian-Quan Jiang

By extending the Einstein-Podolsky-Rosen bipartite entanglement to the tripartite case, we construct the common eigenvector of the tripartite centre-of-mass coordinate and two mass-weighted relative momenta, which is a new entangled state of continuum variables. The classical dilation transform of variables in such a state induces a new three-mode squeezing operator related to a three-mode bosonic operator realization of SU(1,1) Lie algebra.

Chinese Physics Letters•Oct 1, 2002•11 citations
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.
We show that the best way to study the relationship between quantum entanglement and quantum squeezing for the multimode case is through constructing the new n -pair entangled state representation . The explicit form of the 2 n -mode squeezing operator which squeezes the n -pair entangled state can be directly derived via the transition from to where M is an n × n complex matrix, and the technique of integration within an ordered product of operators. We also analyze the squeezing properties of the 2 n -mode squeezed state for M being Hermitian, and obtain the variances of the 2 n -mode quadrature operators in the 2 n -mode squeezed vacuum state with a concise result; the condition for reaching the minimum of the uncertainty relationship is also investigated.