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Phys. Rev. A 69, 054102 (2004) [4 pages]

Operator-sum representation of time-dependent density operators and its applications

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D. M. Tong1,2, L. C. Kwek1,3, C. H. Oh1, Jing-Ling Chen1, and L. Ma1
1Department of Physics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
2Department of Physics, Shandong Normal University, Jinan 250014, People’s Republic of China
3National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 639798, Singapore

Received 29 October 2003; published 24 May 2004

We show that any arbitrary time-dependent density operator of an open system can always be described in terms of an operator-sum representation (Kraus representation) regardless of its initial condition and the path of its evolution in the state space, and we provide a general expression of Kraus operators for arbitrary time-dependent density operator of an N-dimensional system. Moreover, applications of our result are illustrated through several examples.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.054102
DOI:
10.1103/PhysRevA.69.054102
PACS:
03.65.Yz, 03.65.Ca, 03.65.Vf
 
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