Solution of the Lindblad equation in the Kraus representation

Journal Article · Fri Dec 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.062113· OSTI ID:20976429

Nakazato, H; Hida, Y ^[1]; Yuasa, K ^[2]; Militello, B; Napoli, A; Messina, A ^[3]

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1. Department of Physics, Waseda University, Tokyo 169-8555 (Japan)
2. Research Center for Information Security, National Institute of Advanced Industrial Science and Technology (AIST), 1-18-13 Sotokanda, Chiyoda-ku, Tokyo 101-0021 (Japan)
3. MIUR and Dipartimento di Scienze Fisiche ed Astronomiche dell'Universita di Palermo, Via Archirafi 36, I-90123 Palermo (Italy)

The so-called Lindblad equation, a typical master equation describing the dissipative quantum dynamics, is shown to be solvable for finite-level systems in a compact form without resort to writing it down as a set of equations among matrix elements. The solution is then naturally given in an operator form, known as the Kraus representation. Following a few simple examples, the general applicability of the method is clarified.

• OSTI ID: 20976429
• Journal Information: Physical Review. A, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevA.74.062113; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
MATHEMATICAL SOLUTIONS
MATRIX ELEMENTS
QUANTUM ELECTRODYNAMICS