2009/09/30 by Xiaoming Cai, Liming Guan, Cai, Xiaoming +7
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.0909.5523
9 pages, 6 figures
arxiv created 2009/09/30 · openalex publication_date 2009/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a mixture of Nb bosons with point hard-core boson-boson interactions and Nf noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential. Using an extended Jordan-Winger transformation (JWT) which maps the hard-core Bose-Fermi mixture into two component noninteracting spinless fermions with hard-core interactions between them, we get the ground states of the system. Then we determine in details the one particle density matrix, density profile, momentum distribution, the natural orbitals and their occupations based on the constructed ground state wavefunctions. We also discuss the ground state properties of the system with large but finite interactions which lead to the lift of ground degeneracy. Our results show that, although the total density profile is almost not affected, the distributions for bosons and fermions strongly depend on the relative strengthes of boson-boson interactions and boson-fermion interactions.