Comprehensive classification for Bose–Fermi mixtures
We present analytical studies of a trapped boson-fermion mixture at zero temperature with spin-polarized fermions. Using the Thomas–Fermi approximation for bosons and the local-density approximation for fermions, we find a large variety of different density shapes. In the case of continuous density,...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2017-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa7814 |
| _version_ | 1797750652313534464 |
|---|---|
| author | Christian Ufrecht Matthias Meister Albert Roura Wolfgang P Schleich |
| author_facet | Christian Ufrecht Matthias Meister Albert Roura Wolfgang P Schleich |
| author_sort | Christian Ufrecht |
| collection | DOAJ |
| description | We present analytical studies of a trapped boson-fermion mixture at zero temperature with spin-polarized fermions. Using the Thomas–Fermi approximation for bosons and the local-density approximation for fermions, we find a large variety of different density shapes. In the case of continuous density, we obtain analytic conditions for each configuration for attractive as well as repulsive boson-fermion interaction. Furthermore, we analytically show that all the scenarios we describe are minima of the grand-canonical energy functional. Finally, we provide a full classification of all possible ground states in the interpenetrative regime. Our results also apply to binary mixtures of bosons. |
| first_indexed | 2024-03-12T16:35:56Z |
| format | Article |
| id | doaj.art-da727f562f6944a6a6ef522971bb8b20 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:56Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-da727f562f6944a6a6ef522971bb8b202023-08-08T14:53:23ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119808500110.1088/1367-2630/aa7814Comprehensive classification for Bose–Fermi mixturesChristian Ufrecht0Matthias Meister1Albert Roura2Wolfgang P Schleich3Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89081, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89081, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89081, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89081, Germany; Hagler Institute for Advanced Study at Texas A&M University, Institute for Quantum Science and Engineering (IQSE), and Department of Physics and Astronomy, Texas A&M University , College Station, TX 77843-4242, United States of AmericaWe present analytical studies of a trapped boson-fermion mixture at zero temperature with spin-polarized fermions. Using the Thomas–Fermi approximation for bosons and the local-density approximation for fermions, we find a large variety of different density shapes. In the case of continuous density, we obtain analytic conditions for each configuration for attractive as well as repulsive boson-fermion interaction. Furthermore, we analytically show that all the scenarios we describe are minima of the grand-canonical energy functional. Finally, we provide a full classification of all possible ground states in the interpenetrative regime. Our results also apply to binary mixtures of bosons.https://doi.org/10.1088/1367-2630/aa7814Bose–Fermi mixturesground statephase diagram |
| spellingShingle | Christian Ufrecht Matthias Meister Albert Roura Wolfgang P Schleich Comprehensive classification for Bose–Fermi mixtures New Journal of Physics Bose–Fermi mixtures ground state phase diagram |
| title | Comprehensive classification for Bose–Fermi mixtures |
| title_full | Comprehensive classification for Bose–Fermi mixtures |
| title_fullStr | Comprehensive classification for Bose–Fermi mixtures |
| title_full_unstemmed | Comprehensive classification for Bose–Fermi mixtures |
| title_short | Comprehensive classification for Bose–Fermi mixtures |
| title_sort | comprehensive classification for bose fermi mixtures |
| topic | Bose–Fermi mixtures ground state phase diagram |
| url | https://doi.org/10.1088/1367-2630/aa7814 |
| work_keys_str_mv | AT christianufrecht comprehensiveclassificationforbosefermimixtures AT matthiasmeister comprehensiveclassificationforbosefermimixtures AT albertroura comprehensiveclassificationforbosefermimixtures AT wolfgangpschleich comprehensiveclassificationforbosefermimixtures |