Infinite-Dimensional Kraus Operators for Describing a Thermal Channel with Self-Kerr Interaction |
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Authors: | Heng-Mei Li Shuai Wang Zhen Wang Xue-Fen Xu |
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Institution: | 1. School of Science, Changzhou Institute of Technology, Changzhou, 213002, China 2. School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China 3. Department of Basic Course, Wuxi Institute of Technology, Wuxi, 214121, China
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Abstract: | According to operator-sum representation theory, we have identified infinite-dimensional Kraus operators for describing a thermal channel with self-Kerr interaction after directly solving the corresponding master equation by virtue of thermo entangled state. Then we also prove in detail that Kraus operators hold the normalization. As an example, we exactly calculate the evolving result of a chaotic field in the thermal environment with the Kerr medium and find that the chaotic field evolves into a new chaotic field unaffected by the coupling factor with the Kerr medium. |
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