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.

NAKAZATO H, HIDA Y, YUASA K, MILITELLO B, NAPOLI A, MESSINA A (2006). Solution of the Lindblad equation in Kraus representation. PHYSICAL REVIEW A, 74, 062113-1-062113-8 [10.1103/PhysRevA.74.062113].

Solution of the Lindblad equation in Kraus representation

MILITELLO, Benedetto;NAPOLI, Anna;MESSINA, Antonino
2006-01-01

Abstract

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.
2006
Settore FIS/03 - Fisica Della Materia
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
NAKAZATO H, HIDA Y, YUASA K, MILITELLO B, NAPOLI A, MESSINA A (2006). Solution of the Lindblad equation in Kraus representation. PHYSICAL REVIEW A, 74, 062113-1-062113-8 [10.1103/PhysRevA.74.062113].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/1595
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