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Numerical solution of the stationary multicomponent nonlinear Schrodinger equation with a constraint on the angular momentum
Örebro University, School of Science and Technology, Örebro University, Sweden.ORCID iD: 0000-0002-8730-7392
Örebro University, School of Science and Technology, Örebro University, Sweden.ORCID iD: 0000-0002-2630-7479
Örebro University, School of Science and Technology, Örebro University, Sweden. Univ Orebro, Sch Sci & Technol, S-70182 Orebro, Sweden..ORCID iD: 0000-0003-0332-2315
2016 (English)In: Physical Review E, ISSN 2470-0045, Vol. 93, no 3, 033301Article in journal (Refereed) Published
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Text
Abstract [en]

We formulate a damped oscillating particle method to solve the stationary nonlinear Schrodinger equation (NLSE). The ground-state solutions are found by a converging damped oscillating evolution equation that can be discretized with symplectic numerical techniques. The method is demonstrated for three different cases: for the single-component NLSE with an attractive self-interaction, for the single-component NLSE with a repulsive self-interaction and a constraint on the angular momentum, and for the two-component NLSE with a constraint on the total angular momentum. We reproduce the so-called yrast curve for the single-component case, described in [A. D. Jackson et al., Europhys. Lett. 95, 30002 (2011)], and produce for the first time an analogous curve for the two-component NLSE. The numerical results are compared with analytic solutions and competing numerical methods. Our method is well suited to handle a large class of equations and can easily be adapted to further constraints and components.

Place, publisher, year, edition, pages
American Physical Society , 2016. Vol. 93, no 3, 033301
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:oru:diva-49550DOI: 10.1103/PhysRevE.93.033301ISI: 000371415500006Scopus ID: 2-s2.0-84960942930OAI: oai:DiVA.org:oru-49550DiVA: diva2:915178
Note

Funding Agencies:

Örebro University, School of Science and Technology

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Available from: 2016-03-29 Created: 2016-03-29 Last updated: 2016-03-29Bibliographically approved

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Sandin, PatrikÖgren, MagnusGulliksson, Mårten
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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