论文部分内容阅读
摘 要：在引入二粒子纠缠态表象η〉的基础上，由平移算符D（η）导出此纠缠态在坐标表象、动量表象中的Schmidt分解，论述其在双模压缩态方面的应用.
关键词：纠缠态；平移算符；压缩算符
[中图分类号]O 483 [文献标志码]A
文章编号：1003-6180（2018）02-0034-05
Abstract：According to the bipartite entangled state representation η〉， we derive the Schmidt decomposition in the coordinate， momentum representation through using translation operator，explain the application of the Schmidt decomposition in two-mode squeeze state.
Key words：entangled state； translation operator； squeezed operator
參考文献
[1]G. Vidal， J. I. Latorre， E. Rico and A. Kitaev.Exact analysis of entanglement in gapped quantum spin chains[J]. Phys. Rev. Lett.， 2003（90）： 227902-227903.
[2]P. Calabres and J. Cardy.Entropy of entanglement and correlations induced by a quench[J]. JSTAT，2004（4）： 06002-06003.
[3]. Refael and J. E. Moore.Entanglement entropy of aperiodic quantum spin chains[J]. Phys. Rev. Lett.， 2004（93）： 260602-260604.
[4]L. Amico， R. Fazio， A. Osterloh and V. Vedral.Ground-state fidelity and bipartite entanglement in the Bose-Hubbard model[J].Preprint， quant-py/0703044-0703047.
[5]M. A. Nielsen and I. L. Chuang.Quantum Computation and Quantum Information[M]. Cambridge University Press：Cambridge， U. K.，2002.
[6]周世勋.量子力学教程[M].北京： 高等教育出版社， 1979.118-120.
[7]Y. C. Ren and H. Y. Fan.Dynamic entanglement evolution of two-qubit XYZ spin chain in markovian environment[J]. Phys. Rev. A， 2003（49）： 380302-380308.
编辑：吴楠
关键词：纠缠态；平移算符；压缩算符
[中图分类号]O 483 [文献标志码]A
文章编号：1003-6180（2018）02-0034-05
Abstract：According to the bipartite entangled state representation η〉， we derive the Schmidt decomposition in the coordinate， momentum representation through using translation operator，explain the application of the Schmidt decomposition in two-mode squeeze state.
Key words：entangled state； translation operator； squeezed operator
參考文献
[1]G. Vidal， J. I. Latorre， E. Rico and A. Kitaev.Exact analysis of entanglement in gapped quantum spin chains[J]. Phys. Rev. Lett.， 2003（90）： 227902-227903.
[2]P. Calabres and J. Cardy.Entropy of entanglement and correlations induced by a quench[J]. JSTAT，2004（4）： 06002-06003.
[3]. Refael and J. E. Moore.Entanglement entropy of aperiodic quantum spin chains[J]. Phys. Rev. Lett.， 2004（93）： 260602-260604.
[4]L. Amico， R. Fazio， A. Osterloh and V. Vedral.Ground-state fidelity and bipartite entanglement in the Bose-Hubbard model[J].Preprint， quant-py/0703044-0703047.
[5]M. A. Nielsen and I. L. Chuang.Quantum Computation and Quantum Information[M]. Cambridge University Press：Cambridge， U. K.，2002.
[6]周世勋.量子力学教程[M].北京： 高等教育出版社， 1979.118-120.
[7]Y. C. Ren and H. Y. Fan.Dynamic entanglement evolution of two-qubit XYZ spin chain in markovian environment[J]. Phys. Rev. A， 2003（49）： 380302-380308.
编辑：吴楠