Perturbative approach to Markovian open quantum systems

Andy C Y Li; F. Petruccione; Jens Koch

doi:10.1038/srep04887

Perturbative approach to Markovian open quantum systems

Andy C Y Li, F. Petruccione, Jens Koch

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

72 Scopus citations

Abstract

The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical.

Original language	English (US)
Article number	4887
Journal	Scientific reports
Volume	4
DOIs	https://doi.org/10.1038/srep04887
State	Published - Nov 19 2014

Funding

We thank Guanyu Zhu and Joshua Dempster for valuable discussions. This research was supported by the NSF under Grant No. PHY-1055993 (A.C.Y.L. and J.K.) and by the South African Research Chair Initiative of the Department of Science and Technology and National Research Foundation (F.P.). J.K. and F.P. thank the National Institute for Theoretical Physics for supporting J.K.s visit through a NITheP visitor program grant.

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abstract = "The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical.",

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Perturbative approach to Markovian open quantum systems

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