Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.79.043805
DC FieldValue
dc.titleSemiclassical quantization of the one- and two-kink dark solitons
dc.contributor.authorMartinez, J.C.
dc.contributor.authorJalil, M.B.A.
dc.date.accessioned2014-06-17T03:05:30Z
dc.date.available2014-06-17T03:05:30Z
dc.date.issued2009-04-01
dc.identifier.citationMartinez, J.C., Jalil, M.B.A. (2009-04-01). Semiclassical quantization of the one- and two-kink dark solitons. Physical Review A - Atomic, Molecular, and Optical Physics 79 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.79.043805
dc.identifier.issn10502947
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/57376
dc.description.abstractDrawing from an analogy with a linear particle-chain model, we develop a picture of the dark optical soliton as a composite of a background and notch each enjoying a certain degree of independence. The semiclassical quantization procedure of Dashen [Phys. Rev. D 11, 3424 (1975)] is modified to allow for the separate quantization of these two entities. We apply our results to the one-kink and two-kink dark solitons. For both we find that the fluctuations about the notch can be understood as a bound state of bosons held by an attractive delta potential while the background fluctuations are seen as an ensemble of oscillators with a slightly repulsive interaction. We show that the collision effects are small for the two-kink soliton. The quantum numbers emerging from this analysis are interpreted in terms of the number of particles. Moreover, the topological character of the dark soliton also appears naturally in our description. We speculate on the possibility of fractional quantum numbers and derive the repulsive interaction of two dark solitons from the framework developed for the two-kink soliton. © 2009 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevA.79.043805
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentELECTRICAL & COMPUTER ENGINEERING
dc.description.doi10.1103/PhysRevA.79.043805
dc.description.sourcetitlePhysical Review A - Atomic, Molecular, and Optical Physics
dc.description.volume79
dc.description.issue4
dc.description.page-
dc.description.codenPLRAA
dc.identifier.isiut000265947500061
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

2
checked on Jan 16, 2022

WEB OF SCIENCETM
Citations

2
checked on Jan 6, 2022

Page view(s)

93
checked on Jan 20, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.