Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap
We analyze a system of fermions in a one dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two fermion pairs numerically using the so-called "coboson form...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2023-03-01
|
| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.6.1.012 |
| _version_ | 1797870962932187136 |
|---|---|
| author | Martín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia Cormick |
| author_facet | Martín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia Cormick |
| author_sort | Martín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia Cormick |
| collection | DOAJ |
| description | We analyze a system of fermions in a one dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two fermion pairs numerically using the so-called "coboson formalism" as an alternative to techniques which are based on the single-particle basis. This allows us to explore the strongly bound regime, approaching the limit of infinite attraction in which the composite particles behave as hard-core bosons. Our procedure is computationally inexpensive and illustrates how the coboson toolbox is useful for ultracold atom systems even in absence of condensation. |
| first_indexed | 2024-04-10T00:36:44Z |
| format | Article |
| id | doaj.art-c62aee8dbec3494dabd2a8300d02351a |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-10T00:36:44Z |
| publishDate | 2023-03-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-c62aee8dbec3494dabd2a8300d02351a2023-03-14T16:54:39ZengSciPostSciPost Physics Core2666-93662023-03-016101210.21468/SciPostPhysCore.6.1.012Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trapMartín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia CormickWe analyze a system of fermions in a one dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two fermion pairs numerically using the so-called "coboson formalism" as an alternative to techniques which are based on the single-particle basis. This allows us to explore the strongly bound regime, approaching the limit of infinite attraction in which the composite particles behave as hard-core bosons. Our procedure is computationally inexpensive and illustrates how the coboson toolbox is useful for ultracold atom systems even in absence of condensation.https://scipost.org/SciPostPhysCore.6.1.012 |
| spellingShingle | Martín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia Cormick Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap SciPost Physics Core |
| title | Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap |
| title_full | Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap |
| title_fullStr | Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap |
| title_full_unstemmed | Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap |
| title_short | Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap |
| title_sort | composite boson formalism applied to strongly bound fermion pairs in a one dimensional trap |
| url | https://scipost.org/SciPostPhysCore.6.1.012 |
| work_keys_str_mv | AT martindjimenezeloisacuestasanapmajteyceciliacormick compositebosonformalismappliedtostronglyboundfermionpairsinaonedimensionaltrap |