New two-mode intermediate momentum-coordinate representation with quantum entanglement and its application
Xu Shi-Min(徐世民)a)b), Xu Xing-Lei(徐兴磊)a)b)†, Li Hong-Qi(李洪奇)a)b), and Wang Ji-Suo(王继锁)c)
a Department of Physics, Heze University, Heze 274015, China; bKey Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; c Department of Physics, Liaocheng University, Liaocheng 252059, China
Abstract We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some two-body dynamic problems. Moreover, the pure-state density matrix $|\xi_1,\xi_2\rangle_{C, D\ C, D}\langle \xi_1,\xi_2|$ is a Radon transform of Wigner operator.
Received: 07 September 2008
Revised: 01 November 2008
Accepted manuscript online:
Fund: Project
supported by the Natural Science Foundation of Heze University of
Shandong Province, China (Grant Nos XY07WL01 and XY08WL03), the
University Experimental Technology Foundation of Shandong Province,
China (Grant No S04W138), the Natural Science Foundation of Shandong
Province of China (Grant No Y2008A16), and the National Natural
Science Foundation of China (Grant No 10574060).
Cite this article:
Xu Shi-Min(徐世民), Xu Xing-Lei(徐兴磊), Li Hong-Qi(李洪奇), and Wang Ji-Suo(王继锁) New two-mode intermediate momentum-coordinate representation with quantum entanglement and its application 2009 Chin. Phys. B 18 2129
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