|
|
|
Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation |
| Ding Bang-Fu (丁邦福), Wang Xiao-Yun (王小云), Tang Yan-Fang (唐艳芳), Mi Xian-Wu (米贤武), Zhao He-Ping (赵鹤平) |
| College of Physical Science and Information Engineering, Jishou University, Jishou 416000, China |
|
|
|
|
Abstract We present a non-Markovian master equation for a qubit interacting with a general reservoir, which is derived according to the Nakajima-Zwanzig and the time convolutionless projection operator technique. The non-Markovian solutions and Markovian solution of dynamical decay of a qubit are compared. The results indicate the validity of non-Markovian approach in different coupling regimes and also show that the Markovian master equation may not precisely describe the dynamics of an open quantum system in some situation. The non-Markovian solutions may be effective for many qubits independently interacting with the heated reservoirs.
|
Received: 21 October 2010
Revised: 12 February 2011
Accepted manuscript online:
|
|
PACS:
|
03.65.Yz
|
(Decoherence; open systems; quantum statistical methods)
|
| |
42.50.Lc
|
(Quantum fluctuations, quantum noise, and quantum jumps)
|
|
| Fund: Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 09JJ6011) and the Natural Science Foundation of the Education Department of Hunan Province of China (Grant Nos. 06C652 and 07C528). |
Cite this article:
Ding Bang-Fu (丁邦福), Wang Xiao-Yun (王小云), Tang Yan-Fang (唐艳芳), Mi Xian-Wu (米贤武), Zhao He-Ping (赵鹤平) Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation 2011 Chin. Phys. B 20 060304
|
| [1] |
Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
|
| [2] |
Weiss U 1999 Quantum Disspative Systems (Singapore: World Scientific)
|
| [3] |
Alicki R and Lendi K 2007 Quantum Dynamical Semigroups and Application (Berlin: Springer)
|
| [4] |
Breuer H P, Laine E M and Piilo J 2009 Phys. Rev. Lett 103 210401
|
| [5] |
Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
|
| [6] |
Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
|
| [7] |
Gorini V, Kossakowski A and Sudarshan E C G 1976 J. Math. Phys. 17 821
|
| [8] |
Lindblad G 1976 Comm. Math. Phys. 48 119
|
| [9] |
Scala M, Militello B, Messina A, Pillo J and Maniscalco S 2007 Phys. Rev. A 75 013811
|
| [10] |
Wilczewski M and Czachor M 2009 Phys. Rev. A 79 033836
|
| [11] |
Breuer H P 2007 Phys. Rev. A 75 022103
|
| [12] |
Breuer H P and Vacchini B 2008 Phys. Rev. Lett. 101 140402
|
| [13] |
Breuer H P and Vacchini B 2009 Phys. Rev. E 79 041147
|
| [14] |
Budini A A 2005 Phys. Rev. E 72 056106
|
| [15] |
Budini A A 2006 Phys. Rev. A 74 053815
|
| [16] |
Budini A A and Schomerus H 2005 J. Phys. A: Math. Gen. 38 9251
|
| [17] |
Vacchini B 2008 Phys. Rev. A 78 022112
|
| [18] |
Piilo J, Maniscalco S, Harkonen K and Suominen K A 2008 it Phys. Rev. Lett. 100 180402
|
| [19] |
Krovi H, Oreshkov O, Ryazanov M and Lidar D A 2007 Phys. Rev. A 76 052117
|
| [20] |
Kossakowski A and Rebolledo R 2009 Open Syst. Inf. Dyn. 16 259
|
| [21] |
Kossakowski A and Rebolledo R 2008 Open Syst. Inf. Dyn. 15 135
|
| [22] |
Ferraro E, Breuer H P, Napoli A, Jivulescu M A and Messina A 2008 Phys. Rev. B 78 064309
|
| [23] |
Chruscinski D, Kossakowski A and Pascazio S 2010 Phys. Rev. A 81 032101
|
| [24] |
Chruscinski D and Kossakowski A 2010 Phys. Rev. Lett. 104 070406
|
| [25] |
Wang F Q, Zhang Z M and Liang R S 2009 Chin. Phys. B 18 1674
|
| [26] |
Vacchini B and Breuer H P 2010 Phys. Rev. A 81 042103
|
| [27] |
Haikka P and Maniscalco S 2009 Phys. Rev. A 81 052103
|
| [28] |
Maniscasco S and Patruccione F 2006 Phys. Rev. A 73 012111
|
| [29] |
Smirne A and Vacchini B 2010 Phys. Rev. A 82 022110
|
| [30] |
Weisskopf V and Winger E 1930 Z. Phys. 63 54
|
| [31] |
Ferraro E, Scala M, Miqliore R and Napoli A 2009 Phys. Rev. A 80 042112
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
