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One-Dimensional Chain of n-Level Atoms and Discrete Nonlinear Schrödinger Equation |
| LIU Xiao-juan1;XIAO Yi2;HAI Wen-hua3 |
| 1Department of Physics, Xiangtan Normal College, Xiangtan 411201
2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
3Department of Physics, Hu’nan Normal University, Changsha 410081
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LIU Xiao-juan, XIAO Yi, HAI Wen-hua 1999 Chin. Phys. Lett. 16 238-240 |
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Abstract The Hamiltonian of one-dimensional chain of n-level atoms is represented in terms of Boson operators by using the Dyson-Maleev transformation and it is shown that the finite-ladder effect disappears when n tends toward infinity. In this way, it is found that the Heisenberg equation of motion of this system is exactly described in the coherent state representation by the dark discrete nonlinear Schrödinger (DNLS) equation. It is also briefly shown that the DNLS equation has some general soliton solutions. This indicates that this simple system has richness of nonlinear waves.
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03.40.Kf
75.10.-b
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Published: 01 April 1999
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