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dc.contributor.authorAtkins, DJ
dc.contributor.authorWiseman, HM
dc.contributor.authorWarszawski, P
dc.date.accessioned2017-05-03T11:51:01Z
dc.date.available2017-05-03T11:51:01Z
dc.date.issued2003
dc.date.modified2009-10-12T23:14:41Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.67.023802
dc.identifier.urihttp://hdl.handle.net/10072/6303
dc.description.abstractIn the field of atom optics, the basis of many experiments is a two-level atom coupled to a light field. The evolution of this system is governed by a master equation. The irreversible components of this master equation describe the spontaneous emission of photons from the atom. For many applications, it is necessary to minimize the effect of this irreversible evolution. This can be achieved by having a far detuned light field. The drawback of this regime is that making the detuning very large makes the time step required to solve the master equation very small, much smaller than the time scale of any significant evolution. This makes the problem very numerically intensive. For this reason, approximations are used to simulate the master equation, which are more numerically tractable to solve. This paper analyzes four approximations: The standard adiabatic approximation, a more sophisticated adiabatic approximation (not used before), a secular approximation, and a fully quantum dressed-state approximation. The advantages and disadvantages of each are investigated with respect to accuracy, complexity, and the resources required to simulate. In a parameter regime of particular experimental interest, only the sophisticated adiabatic and dressed-state approximations agree well with the exact evolution.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent248455 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherThe American Physical Society
dc.publisher.placeUSA
dc.publisher.urihttp://prola.aps.org/
dc.relation.ispartofpagefrom023802.1
dc.relation.ispartofpageto023802.11
dc.relation.ispartofjournalPhysical Review A (Atomic, Molecular and Optical Physics)
dc.relation.ispartofvolume67
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchChemical sciences
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode34
dc.titleApproximate master equations for atom optics.
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2003 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.issued2003
gro.hasfulltextFull Text
gro.griffith.authorWiseman, Howard M.


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