Busca avançada
Ano de início
Entree


Weak coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing transition and spontaneous symmetry breaking in trapped systems

Texto completo
Autor(es):
Gautam, Sandeep ; Adhikari, S. K.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW A; v. 100, n. 2, p. 10-pg., 2019-08-27.
Resumo

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)

Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
Beneficiário:Nathan Jacob Berkovits
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais