Weak separation limit of a two-component Bose-Einstein condensate
This paper studies of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a conservative Hamiltonian system of two coupled second order ODE's, a...
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| Format: | Article |
| Language: | English |
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Texas State University
2018-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/40/abstr.html |
| _version_ | 1811264057544540160 |
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| author | Christos Sourdis |
| author_facet | Christos Sourdis |
| author_sort | Christos Sourdis |
| collection | DOAJ |
| description | This paper studies of the behaviour of the wave functions of a
two-component Bose-Einstein condensate in the case of weak segregation.
This amounts to the study of the asymptotic behaviour of a heteroclinic
connection in a conservative Hamiltonian system of two coupled second order
ODE's, as the strength of the coupling tends to its infimum.
For this purpose, we apply geometric singular perturbation theory. |
| first_indexed | 2024-04-12T19:56:17Z |
| format | Article |
| id | doaj.art-2225b4bad38c4377a3d01c359e93af72 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T19:56:17Z |
| publishDate | 2018-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2225b4bad38c4377a3d01c359e93af722022-12-22T03:18:39ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-01-01201840,112Weak separation limit of a two-component Bose-Einstein condensateChristos Sourdis0 Univ. of Ioannina, Ioannina, Greece This paper studies of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a conservative Hamiltonian system of two coupled second order ODE's, as the strength of the coupling tends to its infimum. For this purpose, we apply geometric singular perturbation theory.http://ejde.math.txstate.edu/Volumes/2018/40/abstr.htmlGeometric singular perturbation theoryheteroclinic connectionhamiltonian systemBose-Einstein condensatephase separation |
| spellingShingle | Christos Sourdis Weak separation limit of a two-component Bose-Einstein condensate Electronic Journal of Differential Equations Geometric singular perturbation theory heteroclinic connection hamiltonian system Bose-Einstein condensate phase separation |
| title | Weak separation limit of a two-component Bose-Einstein condensate |
| title_full | Weak separation limit of a two-component Bose-Einstein condensate |
| title_fullStr | Weak separation limit of a two-component Bose-Einstein condensate |
| title_full_unstemmed | Weak separation limit of a two-component Bose-Einstein condensate |
| title_short | Weak separation limit of a two-component Bose-Einstein condensate |
| title_sort | weak separation limit of a two component bose einstein condensate |
| topic | Geometric singular perturbation theory heteroclinic connection hamiltonian system Bose-Einstein condensate phase separation |
| url | http://ejde.math.txstate.edu/Volumes/2018/40/abstr.html |
| work_keys_str_mv | AT christossourdis weakseparationlimitofatwocomponentboseeinsteincondensate |