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

arXiv:quant-ph/0209105

Entanglement Produced by Using Some Biparticle Bose Systems

Xian-Ting Liang

Published Sep 18, 2002• 0 citations
arXivHTMLPDF

Abstract

In this paper, the generating of entanglement by using some biparticle Bose systems acting on vacuum state are investigated. These systems include two-mode squeezed system, thermal system of a free single particle (where the fictitious tilde system is regarded another particle), and the system of two coupling harmonic oscillators. The technique of integration within an ordered product (IWOP) of operators is used.

DOI
10.48550/arxiv.quant-ph/0209105

Related papers

Degree of Entanglement for Some Bipartite Entangled Bosonic Systems

Xian-Ting Liang

We calculate the degree of entanglement for some bipartite entangled states of continuous variables. These states include common two-mode squeezed vacuum state, thermal vacuum state of a free single particle (where the fictitious tilde system is regarded as another particle), and the squeezed vacuum state of two coupling harmonic oscillators. The degree of entanglement for these quantum systems are shown clearly by using the technique of integration within an ordered product of operators.

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

Four-mode coherent entangled state as an entanglement of two bipartite coherent entangled states

Liyun Hu, Hong-Yi Fan

By introducing a four-mode unitary operator U = exp[−iλ(X 1 P 2 + X 2 P 3 + X 3 P 4 + X 4 P 1)], we show how a four-mode coherent entangled state can be generated by entangling a two bipartite coherent entangled state. The corresponding squeezed vacuum state U|0000⟩ in four-mode Fock space is derived by virtue of the technique of integration within ordered production of operators, which exhibits the standard squeezing for the four-mode quadratures. A new ideal quantum mechanical representation |α, β, γ⟩ is constructed from U|0000⟩ in the limit of infinite squeezing, which possesses the properties of both coherent and entangled states. The entanglement involved in |α, β, γ⟩ is explained. A scheme for generating |α, β, γ⟩ is presented.

Journal of Modern Optics•Apr 10, 2008•4 citations

Entanglement in the system of two coupled atoms raman-interacting with squeezed vacuum field

Yongping Li

Entanglement in the system of two coupling atoms with a single-mode squeezed vacuum field are studied by means of quantum theory.Using the numerical method,the relation between the entanglement and the coupling parameter and initial state of the system is discussed.

Journal of Atomic and Molecular Physics•Jan 1, 2006•0 citations

Thermal vacuum state corresponding to squeezed chaotic light and its application

Zhi-Long Wan, Hong-Yi Fan, Zhen Wang

For the density operator (mixed state) describing squeezed chaotic light (SCL) we search for its thermal vacuum state (a pure state) in the real-fictitious space. Using the method of integration within ordered product (IWOP) of operators we find that it is a kind of one- and two-mode combinatorial squeezed state. Its application in evaluating the quantum fluctuation of photon number reveals: the stronger the squeezing is, the larger a fluctuation appears. The second-order degree of coherence of SCL is also deduced which shows that SCL is classic. The new thermal vacuum state also helps to derive the Wigner function of SCL.

Chinese Physics B•Dec 1, 2015•6 citations

Thermal vacuum state corresponding to squeezed chaotic light and its application

M LONG, 范洪义, 王震

For the density operator(mixed state) describing squeezed chaotic light(SCL) we search for its thermal vacuum state(a pure state) in the real-fictitious space. Using the method of integration within ordered product(IWOP) of operators we find that it is a kind of one- and two-mode combinatorial squeezed state. Its application in evaluating the quantum fluctuation of photon number reveals: the stronger the squeezing is, the larger a fluctuation appears. The second-order degree of coherence of SCL is also deduced which shows that SCL is classic. The new thermal vacuum state also helps to derive the Wigner function of SCL.

中国物理B：英文版•Jan 1, 2015•0 citations

Quantization and quantum effects of mesoscopic inductance coupling circuits with mutual inductance

Xiang‐Guo Meng

The Hamiltonian of the mesoscopic inductance coupling circuits with mutual induc- tance was given by Langrangian function,then it was diagonilized through a unitary operator. The normal ordering form of the unitary operator was obtained by the technique of integration within an ordered product(IWOP),and the quantum fluctuations of charge and its conjugate quantity of this system were discussed.It was found that a rotated two single-mode squeezed vacuum state could be generated by using the system.

Chinese Journal of Quantum Electronics•Jan 1, 2007•0 citations
In this paper, the generating of entanglement by using some biparticle Bose systems acting on vacuum state are investigated. These systems include two-mode squeezed system, thermal system of a free single particle (where the fictitious tilde system is regarded another particle), and the system of two coupling harmonic oscillators. The technique of integration within an ordered product (IWOP) of operators is used.
By introducing a four-mode unitary operator U = exp[−iλ(X 1 P 2 + X 2 P 3 + X 3 P 4 + X 4 P 1)], we show how a four-mode coherent entangled state can be generated by entangling a two bipartite coherent entangled state. The corresponding squeezed vacuum state U|0000⟩ in four-mode Fock space is derived by virtue of the technique of integration within ordered production of operators, which exhibits the standard squeezing for the four-mode quadratures. A new ideal quantum mechanical representation |α, β, γ⟩ is constructed from U|0000⟩ in the limit of infinite squeezing, which possesses the properties of both coherent and entangled states. The entanglement involved in |α, β, γ⟩ is explained. A scheme for generating |α, β, γ⟩ is presented.
For the density operator (mixed state) describing squeezed chaotic light (SCL) we search for its thermal vacuum state (a pure state) in the real-fictitious space. Using the method of integration within ordered product (IWOP) of operators we find that it is a kind of one- and two-mode combinatorial squeezed state. Its application in evaluating the quantum fluctuation of photon number reveals: the stronger the squeezing is, the larger a fluctuation appears. The second-order degree of coherence of SCL is also deduced which shows that SCL is classic. The new thermal vacuum state also helps to derive the Wigner function of SCL.
For the density operator(mixed state) describing squeezed chaotic light(SCL) we search for its thermal vacuum state(a pure state) in the real-fictitious space. Using the method of integration within ordered product(IWOP) of operators we find that it is a kind of one- and two-mode combinatorial squeezed state. Its application in evaluating the quantum fluctuation of photon number reveals: the stronger the squeezing is, the larger a fluctuation appears. The second-order degree of coherence of SCL is also deduced which shows that SCL is classic. The new thermal vacuum state also helps to derive the Wigner function of SCL.
The Hamiltonian of the mesoscopic inductance coupling circuits with mutual induc- tance was given by Langrangian function,then it was diagonilized through a unitary operator. The normal ordering form of the unitary operator was obtained by the technique of integration within an ordered product(IWOP),and the quantum fluctuations of charge and its conjugate quantity of this system were discussed.It was found that a rotated two single-mode squeezed vacuum state could be generated by using the system.