Stability analysis and continuation for the coupled Gross–Pitaevskii equations
| Autor: | Yin-Tzer Shih, C.-S. Chien, Sirilak Sriburadet |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Condensed Matter::Quantum Gases
Condensed Matter::Other Angular velocity 010103 numerical & computational mathematics 01 natural sciences Vortex 010101 applied mathematics Superfluidity Computational Mathematics Supersolid Continuation Classical mechanics Computational Theory and Mathematics Modeling and Simulation Lattice (order) 0101 mathematics Ground state Linear stability Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 78:807-826 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2019.03.003 |
| Popis: | We study linear stability analysis for the coupled Gross–Pitaevskii equations (CGPEs), which are used as the governing equations for rotating two-component Bose–Einstein condensates (BEC), and (ultrarapidly) rotating two-component Rydberg-dressed BEC. The CGPEs describe the coexistence of superfluidity and crystallization of BEC simultaneously. We show numerically that the linear stability of discrete steady state solutions is related to the angular velocity. Next, we describe some continuation algorithms for computing the ground state solutions of the CGPEs. Specifically, one of them can efficiently handle the case when long-range intra-component interactions of the two components are different. For ultrarapid rotation our numerical experiments demonstrate a competition between the supersolid crystal structure and the rotating-induced vortex lattice which gives rise to new phases. |
| Databáze: | OpenAIRE |
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