Solution of the Lindblad Equation in the Kraus Representation

H. Nakazato, Y. Hida, K. Yuasa, B. Militello, A. Napoli, A. Messina

Published 2006-06-23, updated 2006-12-28Version 2

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.