%0 Generic %1 Andersson2010 %A Andersson, Erika %A Cresser, James D. %A Hall, Michael J. W. %D 2010 %K Lindblad Markov mastereq %T Canonical form of master equations and characterization of non-Markovianity %U http://arxiv.org/abs/1009.0845 %X 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.

@misc{Andersson2010, abstract = { 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. }, added-at = {2010-09-09T22:10:21.000+0200}, author = {Andersson, Erika and Cresser, James D. and Hall, Michael J. W.}, biburl = {https://www.bibsonomy.org/bibtex/2eef4c952bb54f7754ede93982d914a27/noswpat}, description = {Canonical form of master equations and characterization of non-Markovianity}, interhash = {27917df1210e3629a1c4fd09b1c48db2}, intrahash = {eef4c952bb54f7754ede93982d914a27}, keywords = {Lindblad Markov mastereq}, note = {cite arxiv:1009.0845 Comment: 5 pages}, timestamp = {2010-09-09T22:10:21.000+0200}, title = {Canonical form of master equations and characterization of non-Markovianity}, url = {http://arxiv.org/abs/1009.0845}, year = 2010 }