Lindblad equation and its semi-classical limit of the Anderson-Holstein model

dc.contributor.author

Cao, Y

dc.contributor.author

Lu, J

dc.date.accessioned

2017-04-23T15:30:17Z

dc.date.available

2017-04-23T15:30:17Z

dc.date.issued

2017-04-23

dc.description.abstract

For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work, we study the approximation of the dynamics of the Anderson-Holstein model, as a model of multi-level open quantum system, by Redfield and Lindblad equations. Both equations have a desirable property that if the density operators for different levels is diagonal initially, they remain to be diagonal for any time. Thanks to this nice property, the semi-classical limit of both Redfield and Lindblad equations could be derived explicitly; the resulting classical master equations share similar structures of transport and hopping terms. The Redfield and Lindblad equations are also compared from the angle of time dependent perturbation theory.

dc.identifier

http://arxiv.org/abs/1704.03838v1

dc.identifier.uri

https://hdl.handle.net/10161/14036

dc.publisher

AIP Publishing

dc.subject

quant-ph

dc.subject

quant-ph

dc.subject

math-ph

dc.subject

math.MP

dc.subject

physics.chem-ph

dc.title

Lindblad equation and its semi-classical limit of the Anderson-Holstein model

dc.type

Journal article

duke.contributor.orcid

Cao, Y|0000-0002-2630-2475

duke.contributor.orcid

Lu, J|0000-0001-6255-5165

pubs.author-url

http://arxiv.org/abs/1704.03838v1

pubs.organisational-group

Chemistry

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.organisational-group

Physics

pubs.organisational-group

Trinity College of Arts & Sciences

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
1704.03838v1.pdf
Size:
257.68 KB
Format:
Adobe Portable Document Format