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

Communications in Theoretical Physics

Completeness Relation of Squeezed States in Squeezing Parametric Space Gained by Virtue of IWOP Technique

Fan Hong-Yi, Liu NaiLe

Published Oct 30, 1999• 1 citation
Publisher

Abstract

Using the newly developed technique of integration within an ordered product of operators, we prove that single-mode (or two-mode) squeezed states span a complete space in squeezing parametric space. The proof is concise and direct, and no further knowledge of general coherent state theory is needed in our discussion.
DOI
10.1088/0253-6102/32/3/471

Related papers

Successively Squeezed States Studied by Virtue of the IWOP Technique

Hong-Yi Fan, Jia-Fan Fan

Two kinds of successively squeezed states which are generated by re-squeezing two single mode squeezed states by the two-mode squeezing operator, or by re-squeezing a two-mode squeezed state by two single-mode squeezing operators, are studied in terms of the newly developed technique of integration within an ordered product (IWOP) of operators. The fluctuations in quadrature phases for the resqueezed states are analyzed.

Communications in Theoretical Physics•Dec 1, 1993•0 citations

Some New Completeness Relations in Multi-Mode Fock Space

Hong-Yi Fan

Using the technique of integration within an ordered product (IWOP) of operators we find some new continuum state vectors which span completeness relations in multi-mode Fock space. This fact tells us that the representation theory in quantum mechanics need to be studied in more detail.

Communications in Theoretical Physics•Sep 15, 1994•1 citation

Some New Forms of Squeezed States Studied by the IWOP Technique

Fan Hong-Yi

Using the recently developed technique of integration within an ordered product (IWOP) of operators, we derive some new expressions for single-mode and one- and two-mode squeezed states. They provide the possibility of finding new ways of generating squeezing.

Europhysics Letters (EPL)•Jul 1, 1993•4 citations

Multipartite State Representations in Multi-mode Fock Space and Their Squeezing Transformations

Yuan Hong-Chun, Heng-Mei Li, Qi Kai-Guo

We present the continuous state vector of the total coordinate of multi-particle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product (IWOP) technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics.

Communications in Theoretical Physics•Jan 1, 2007•3 citations

One- and two-mode successively squeezed state and its statistical properties

Yuan Hong-Chun, Xue-xiang Xu

One- and two-mode successively squeezed state, obtained through re-squeezing two single mode squeezed states by the two-mode squeezing operator, is studied in terms of the technique of integration within an ordered product (IWOP) of operators. We first derive the normally ordered form of this one- and two-mode successively squeezing operator, and then investigate the quantum statistical properties of the corresponding squeezed state. Particularly, we use the Weyl ordering invariance under a similar transformation to derive the analytical expression of its Wigner function, which seems very easy and concise. Finally, the experimental generation of one- and two-mode successively squeezed state is also proposed simply.

Acta Physica Sinica•Jan 1, 2012•4 citations

Theq-analogues of two-mode squeezed states constructed by virtue of the IWOP technique

Meng Xiang-Guo, Ji‐Suo Wang, Hongqi Li

The q-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state S'2(r) |00〉 are investigated. It is found that, in different ranges of the squeezed parameter r, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.

Chinese Physics B•Aug 1, 2008•5 citations
We present the continuous state vector of the total coordinate of multi-particle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product (IWOP) technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics.
One- and two-mode successively squeezed state, obtained through re-squeezing two single mode squeezed states by the two-mode squeezing operator, is studied in terms of the technique of integration within an ordered product (IWOP) of operators. We first derive the normally ordered form of this one- and two-mode successively squeezing operator, and then investigate the quantum statistical properties of the corresponding squeezed state. Particularly, we use the Weyl ordering invariance under a similar transformation to derive the analytical expression of its Wigner function, which seems very easy and concise. Finally, the experimental generation of one- and two-mode successively squeezed state is also proposed simply.
The q-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state S'2(r) |00〉 are investigated. It is found that, in different ranges of the squeezed parameter r, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.