Solving nonlinear master equation describing quantum damping by virtue of the entangled state representation
This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued function of N = a^＋a, for describing amplitude damping channel, and derives the infinite operator sum representation of quasi-Kraus operators for th...
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| Published in | Chinese physics B Vol. 19; no. 11; pp. 416 - 419 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.11.2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/19/11/114206 |
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| Abstract | This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued function of N = a^＋a, for describing amplitude damping channel, and derives the infinite operator sum representation of quasi-Kraus operators for the density operator. It also shows that in this nonlinear process the initial pure number state density operator will evolve into the binomial field （a mixed state） when f （N） = 1√N ＋ 1. |
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| AbstractList | This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued function of N = a^＋a, for describing amplitude damping channel, and derives the infinite operator sum representation of quasi-Kraus operators for the density operator. It also shows that in this nonlinear process the initial pure number state density operator will evolve into the binomial field （a mixed state） when f （N） = 1√N ＋ 1. |
| Author | 范洪义 任刚 胡利云 姜年权 |
| AuthorAffiliation | Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China |
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| Cites_doi | 10.1088/1674-1056/18/3/010 10.1016/S0375-9601(97)00512-4 10.1088/1674-1056/18/2/037 10.1142/S0217984908017072 10.1103/PhysRevA.54.4560 10.1088/1355-5111/9/3/011 10.1088/1464-4266/1/3/308 10.1016/j.optcom.2008.08.002 10.1088/1355-5111/8/3/006 10.1016/S0375-9601(98)00817-2 10.1088/0305-4470/33/11/309 10.1016/S0375-9601(01)00388-7 10.1088/1355-5111/9/3/010 10.1088/0305-4470/32/18/317 10.1088/1674-1056/18/3/013 10.1016/S0375-9601(98)00642-2 10.1007/978-3-662-04103-1 |
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| Notes | O413.1 nonlinear master equation, operator sum representation, Kraus operator, binomial state 11-5639/O4 O241.7 |
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| Snippet | This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued... |
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| Title | Solving nonlinear master equation describing quantum damping by virtue of the entangled state representation |
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