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Solving the Jaynes–Cummings Model with Shift Operators Constructed by Means of the Matrix-Diagonalizing Technique |
| Jie Zhou1, Hong-Yi Su1, Fu-Lin Zhang2, Hong-Biao Zhang3, Jing-Ling Chen1** |
1Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071
2Physics Department, School of Science, Tianjin University, Tianjin 300072
3Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
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Jie Zhou, Hong-Yi Su, Fu-Lin Zhang et al 2018 Chin. Phys. Lett. 35 010302 |
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Abstract The Jaynes–Cummings model is solved with the raising and lowering (shift) operators using the matrix-diagonalizing technique. Bell nonlocality is also found to be present ubiquitously in the excitation states of the model.
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Received: 27 October 2017
Published: 17 December 2017
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| Fund: Supported by the National Natural Science Foundations of China under Grant Nos 11475089, 11675119 and 11575125. |
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| [1] | De Lange O L and Raab R E 1991 Operator Methods in Quantum Mechanics (Oxford: Clarendon) | | [2] | Infeld L and Hull T E 1951 Rev. Mod. Phys. 23 21 | | Mielnik B 1984 J. Math. Phys. 25 3387 | | Stahlhofen A and Bleuler K 1989 Nuovo Cimento B 104 447 | | Hoppe J 1992 Lectures on Integrable Systems (Berlin: Springer Verlag) | | Díaz J I, Negro J, Neito L M and Rosas-Ortiz O 1999 J. Phys. A 32 8447 | | [3] | Ge M L, Kwek L C, Liu Y, Oh C H and Wang X B 2000 Phys. Rev. A 62 052110 | | [4] | Delbecq C and Quesne C 1993 J. Phys. A 26 L127 | | [5] | Chen J L, Liu Y and Ge M L 1998 J. Phys. A 31 6473 | | [6] | Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89 | | [7] | Vedral V 2006 Modern Foundations of Quantum Optics (London: Imperial College Press) | | [8] | Irish E K 2007 Phys. Rev. Lett. 99 173601 | | [9] | Braak D 2011 Phys. Rev. Lett. 107 100401 | | [10] | Hu M G and Chen J L 2007 Int. J. Theor. Phys. 46 2119 | | [11] | Chen J L, Zhang H B, Wang X H, Jing H and Zhao X G 2000 Int. J. Theor. Phys. 39 2043 | | [12] | Quesne C 1999 J. Phys. A 32 6705 | | [13] | Wang X H and Liu Y B 2009 Int. J. Theor. Phys. 48 2748 | | [14] | Wang X H and Liu Y B 2010 Chin. Phys. Lett. 27 020301 | | [15] | Chen Z B, Pan J W, Hou G and Zhang Y D 2002 Phys. Rev. Lett. 88 040406 | | [16] | Bell J S 1964 Physics 1 195 | | [17] | Clauser J F, Horne M A, Shimony A and Holt R A 1969 Phys. Rev. Lett. 23 880 |
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