Drift on the Bose-Einstein condensation transition in the presence of a second ato...
Exploring electroweak symmetry breaking and the nature of dark matter
Electronic correlations in quantum materials: inhomogeneities and frustration
| Full text | |
| Author(s): |
Gautam, Sandeep
;
Adhikari, S. K.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW A; v. 100, n. 2, p. 10-pg., 2019-08-27. |
| Abstract | |
The usual treatment of a Bose-Fermi mixture relies on weak-coupling Gross-Pitaevskii (GP) and density-functional (DF) Lagrangians, often including the more realistic perturbative Lee-Huang-Yang (LHY) corrections. We suggest analytic non-perturbative beyond-mean-field Bose and Fermi Lagrangians valid along the crossover from weak-to strong-coupling limits of intraspecies interactions consistent with the LHY corrections and the strong-coupling (unitarity) limit for small and large scattering lengths vertical bar a vertical bar, respectively, and use these to study the Bose-Fermi mixture. We study numerically mixing-demixing and spontaneous symmetry breaking in Bose-Fermi mixtures in spherically symmetric and quasi-one-dimensional traps, while the intraspecies Bose and Fermi interactions are varied from weak-coupling to strong-coupling limits. The LHY correction is appropriate for medium to weak atomic interactions and diverges for stronger interactions (large scattering length vertical bar a vertical bar), whereas the present beyond-mean-field Lagrangian is finite in the unitarity limit (vertical bar a vertical bar -> infinity). We illustrate our results using the Bose-Fermi Li-7-Li-6 mixture under a spherically-symmetric and a quasi-one-dimensional trap. The results obtained with the present model for density distribution of the Bose-Fermi mixture along the crossover could be qualitatively different from the usual GP-DF Lagrangian with or without LHY corrections. Specifically, we identified spontaneous symmetry breaking and demixing in the present model not found in the usual model with the same values of the parameters. (AU) | |
| FAPESP's process: | 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |