Non-Markovian generalization of the Lindblad theory of open quantum systems
By H. Breuer. 2006
158 citations recorded by the source corpus.
A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and from the theory of positive maps, we derive a class of correlated projection superoperators that take into account in an efficient way statistical correlations between the open system and its environment. The result is used to develop a generalization of the Lindblad theory to the regime of highly non-Markovian quantum processes in structured environments.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/28b33015afc5a5e4a5ba86cb5a80c55ca4114653
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Dynamics of non-Markovian open quantum systems (2015, background): “The relevant part of the dynamics is expressed in terms of a positively correlated projection superoperator P = 1 S ⊗ Λ, where Λ maps operators in HB to operators in HB , and can be represented in terms of environment operators Ai and Bi, such that TrB{AjBi} = δij (Breuer, 2007).”