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Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation |
| Xiang-Guo Meng(孟祥国)1,2, Ji-Suo Wang(王继锁)1,2,3, Hong-Yi Fan(范洪义)4, Cheng-Wei Xia(夏承魏)1,2 |
1 School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;
2 Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng 252059, China;
3 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;
4 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix representation for these solutions is obtained, which is incongruous with the result in the book completed by Nielsen and Chuang [Quantum Computation and Quantum Information, Cambridge University Press, 2000]. As especial cases, we also present the Kraus operator solutions to master equations for describing the amplitude-decay model and the diffusion process at finite temperature.
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Received: 08 October 2015
Revised: 18 December 2015
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11347026), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2013AM012 and ZR2012AM004), and the Research Fund for the Doctoral Program and Scientific Research Project of Liaocheng University, Shandong Province, China. |
Corresponding Authors:
Xiang-Guo Meng
E-mail: mengxiangguo1978@sina.com
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Cite this article:
Xiang-Guo Meng(孟祥国), Ji-Suo Wang(王继锁), Hong-Yi Fan(范洪义), Cheng-Wei Xia(夏承魏) Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation 2016 Chin. Phys. B 25 040302
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| [1] |
Haake F 1969 Z. Phys. 223 353
|
| [2] |
Haake F 1973 Springer Tracts in Modern Physics 66 98
|
| [3] |
Risken H 1984 The Fokker-Planck Equation: Methods of Solutions and Applications (Berlin/Heidelberg: Springer-Verlag)
|
| [4] |
Fan H Y and Hu L Y 2008 Mod. Phys. Lett. B 22 2435
|
| [5] |
Liu T K, Wu P P, Shan C J, Liu J B and Fan H Y 2015 Chin. Phys. B 24 090302
|
| [6] |
Xu X L, Li H Q and Fan H Y 2015 Chin. Phys. B 24 070306
|
| [7] |
Gardner C W and Zoller P 2000 Quantum Noise (Berlin: Springer-Verlag)
|
| [8] |
Fan H Y and Hu L Y 2008 Opt. Commun. 281 5571
|
| [9] |
Fan H Y and Wang J S 2007 Commun. Theor. Phys. 48 245
|
| [10] |
Nielsen M A and Chuang I L 2000 Computation and Quantum Information (Cambridge: Cambridge University Press)
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| [11] |
Kraus K 2008 State, Effects, and Operations: Fundamental Notions of Quantum Theory, Lecture Notes in Physics (Berlin/New York: Springer-Verlag)
|
| [12] |
Hellwig K E and Kraus K 1969 Commun. Math. Phys. 11 214
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