Physics – Quantum Physics
Scientific paper
2010-09-04
Physics
Quantum Physics
5 pages
Scientific paper
Master equations govern the time evolution of a quantum system interacting with an environment, and may be written in a variety of forms. Markovian master equations, in particular, can be cast in the well-known Lindblad form. Any time-local master equation, Markovian or non-Markovian, may in fact also be written in Lindblad-like form. A diagonalisation procedure results in a unique, and in this sense canonical, representation of the equation. This representation may be used to fully characterize the non-Markovianity of the time evolution. Recently, several different measures of non-Markovianity have been presented. Their common underlying definition of non-Markovianity is whether negative decoherence rates may appear in the Lindblad-like form of the master equation. We therefore propose to use the negative decoherence rates themselves, as they appear in the unique canonical form of the master equation, as a primary measure to more completely characterize non-Markovianity. The advantages of this are especially apparent when many decoherence channels are present.
Andersson Erika
Cresser James D.
Hall Michael J. W.
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