dc.contributor.author | Hall, Michael JW | |
dc.contributor.author | Cresser, James D | |
dc.contributor.author | Li, Li | |
dc.contributor.author | Andersson, Erika | |
dc.date.accessioned | 2017-05-03T16:06:07Z | |
dc.date.available | 2017-05-03T16:06:07Z | |
dc.date.issued | 2014 | |
dc.date.modified | 2014-09-09T23:32:42Z | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.doi | 10.1103/PhysRevA.89.042120 | |
dc.identifier.uri | http://hdl.handle.net/10072/62231 | |
dc.description.abstract | Master equations govern the time evolution of a quantum system interacting with an environment, and may be written in a variety of forms. Time-independent or memoryless 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 a Lindblad-like form. A diagonalization procedure results in a unique, and in this sense canonical, representation of the equation, which may be used to fully characterize the non-Markovianity of the time evolution. Recently, several different measures of non-Markovianity have been presented which reflect, to varying degrees, the appearance of negative decoherence rates in the Lindblad-like form of the master equation. We therefore propose using the negative decoherence rates themselves, as they appear in the canonical form of the master equation, to completely characterize non-Markovianity. The advantages of this are especially apparent when more than one decoherence channel is present. We show that a measure proposed by Rivas et al. [Phys. Rev. Lett. 105, 050403 (2010)] is a surprisingly simple function of the canonical decoherence rates, and give an example of a master equation that is non-Markovian for all times t>0, but to which nearly all proposed measures are blind. We also give necessary and sufficient conditions for trace distance and volume measures to witness non-Markovianity, in terms of the Bloch damping matrix. | |
dc.description.peerreviewed | Yes | |
dc.description.publicationstatus | Yes | |
dc.format.extent | 198854 bytes | |
dc.format.mimetype | application/pdf | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | American Physical Society | |
dc.publisher.place | United States | |
dc.relation.ispartofstudentpublication | Y | |
dc.relation.ispartofpagefrom | 042120-1 | |
dc.relation.ispartofpageto | 042120-11 | |
dc.relation.ispartofissue | 4 | |
dc.relation.ispartofjournal | Physical Review A (Atomic, Molecular and Optical Physics) | |
dc.relation.ispartofvolume | 89 | |
dc.rights.retention | Y | |
dc.subject.fieldofresearch | Mathematical sciences | |
dc.subject.fieldofresearch | Physical sciences | |
dc.subject.fieldofresearch | Quantum information, computation and communication | |
dc.subject.fieldofresearch | Quantum physics not elsewhere classified | |
dc.subject.fieldofresearch | Chemical sciences | |
dc.subject.fieldofresearchcode | 49 | |
dc.subject.fieldofresearchcode | 51 | |
dc.subject.fieldofresearchcode | 510803 | |
dc.subject.fieldofresearchcode | 510899 | |
dc.subject.fieldofresearchcode | 34 | |
dc.title | Canonical form of master equations and characterization of non-Markovianity | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.rights.copyright | © 2014 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version. | |
gro.date.issued | 2014 | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Li, Kenny | |
gro.griffith.author | Hall, Michael J. | |