Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Haddad, Laith H. [VerfasserIn]  |
| Carr, Lincoln D. [VerfasserIn]  |
Titel: | The nonlinear Dirac equation in Bose-Einstein condensates |
Titelzusatz: | vortex solutions and spectra in a weak harmonic trap |
Verf.angabe: | L.H. Haddad and Lincoln D. Carr |
E-Jahr: | 2015 |
Jahr: | 29 October 2015 |
Umfang: | 25 S. |
Teil: | volume:17 |
| year:2015 |
| number:11 |
| elocationid:113011 |
| pages:1-25 |
| extent:25 |
Fussnoten: | Gesehen am 03.03.2021 |
Titel Quelle: | Enthalten in: New journal of physics |
Ort Quelle: | [Bad Honnef] : Dt. Physikalische Ges., 1999 |
Jahr Quelle: | 2015 |
Band/Heft Quelle: | 17(2015), 11, Artikel-ID 113011, Seite 1-25 |
ISSN Quelle: | 1367-2630 |
Abstract: | We analyze the vortex solution space of the -dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice spacing. Dirac point relativistic covariance combined with s-wave scattering for bosons leads to a large number of vortex solutions characterized by different functional forms for the internal spin and overall phase of the order parameter. We present a detailed derivation of these solutions which include skyrmions, half-quantum vortices, Mermin-Ho and Anderson-Toulouse vortices for vortex winding For we obtain topological as well as non-topological solutions defined by the asymptotic radial dependence. For arbitrary values of ℓ the non-topological solutions include bright ring-vortices which explicitly demonstrate the confining effects of the Dirac operator. We arrive at solutions through an asymptotic Bessel series, algebraic closed-forms, and using standard numerical shooting methods. By including a harmonic potential to simulate a finite trap we compute the discrete spectra associated with radially quantized modes. We demonstrate the continuous spectral mapping between the vortex and free particle limits for all of our solutions. |
DOI: | doi:10.1088/1367-2630/17/11/113011 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext: https://doi.org/10.1088/1367-2630/17/11/113011 |
| DOI: https://doi.org/10.1088/1367-2630/17/11/113011 |
Datenträger: | Online-Ressource |
Sprache: | eng |
K10plus-PPN: | 1750185970 |
Verknüpfungen: | → Zeitschrift |
¬The¬ nonlinear Dirac equation in Bose-Einstein condensates / Haddad, Laith H. [VerfasserIn]; 29 October 2015 (Online-Ressource)
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