Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2401.13833 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913405116350464 |
|---|---|
| author | Ragan, Robert J. Sakhel, Asaad R. Mullin, William J. |
| author_facet | Ragan, Robert J. Sakhel, Asaad R. Mullin, William J. |
| contents | The Gross-Pitaevskii equation is solved by analytic methods for an external double-well potential that is an infinite square well plus a $δ$-function central barrier. We find solutions that have the symmetry of the non-interacting Hamiltonian as well as asymmetric solutions that bifurcate from the symmetric solutions for attractive interactions and from the antisymmetric solutions for repulsive interactions. We present a variational approximation to the asymmetric state as well as an approximate numerical approach. Stability of the states is briefly considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13833 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Gross-Pitaevskii equation for a infinite square-well with a delta-function barrier Ragan, Robert J. Sakhel, Asaad R. Mullin, William J. Quantum Physics Quantum Gases The Gross-Pitaevskii equation is solved by analytic methods for an external double-well potential that is an infinite square well plus a $δ$-function central barrier. We find solutions that have the symmetry of the non-interacting Hamiltonian as well as asymmetric solutions that bifurcate from the symmetric solutions for attractive interactions and from the antisymmetric solutions for repulsive interactions. We present a variational approximation to the asymmetric state as well as an approximate numerical approach. Stability of the states is briefly considered. |
| title | The Gross-Pitaevskii equation for a infinite square-well with a delta-function barrier |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2401.13833 |