中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1307-1312.doi: 10.1088/1009-1963/14/7/007
庞乾骏
收稿日期:
2004-10-09
修回日期:
2005-03-04
出版日期:
2005-06-20
发布日期:
2005-06-20
Pang Qian-Jun (庞乾骏)
Received:
2004-10-09
Revised:
2005-03-04
Online:
2005-06-20
Published:
2005-06-20
摘要: We study the eigenstate problem of a two-coupled oscillator system. A new entangled state representation $\left\vert \gamma \right\rangle $ composed of the common eigenvectors of operators $% (x_{1}+p_{2})$ and $(p_{1}+x_{2})$ is established. Eigenvalues and eigenvectors of the Hamiltonian are obtained in $\left\vert \gamma \right\rangle $ representations. The same problem is studied in the second-quantization representation. We find that the second-quantization representation can be used to derive the normally ordered product expression of eigenvector in Fock space. In particular, we find that the ground state of the Hamiltonian is a kind of generalized two-mode squeezed state.
中图分类号: (Entanglement and quantum nonlocality)
庞乾骏. Application of new entangled state representation to a two-coupled oscillator system[J]. 中国物理B, 2005, 14(7): 1307-1312.
Pang Qian-Jun (庞乾骏). Application of new entangled state representation to a two-coupled oscillator system[J]. Chinese Physics, 2005, 14(7): 1307-1312.
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