Mixtures of bosonic and fermionic atoms in optical lattices

被引:165
作者
Albus, A
Illuminati, F
Eisert, J
机构
[1] Univ Potsdam, Inst Phys, D-14469 Potsdam, Germany
[2] Univ Salerno, Dipartimento Fis, I-84081 Baronissi, SA, Italy
[3] Ist Nazl Fis Mat, I-84081 Baronissi, SA, Italy
[4] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BW, England
来源
PHYSICAL REVIEW A | 2003年 / 68卷 / 02期
关键词
D O I
10.1103/PhysRevA.68.023606
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We discuss the theory of mixtures of bosonic and fermionic atoms in periodic potentials at zero temperature. We derive a general Bose-Fermi Hubbard Hamiltonian in a one-dimensional optical lattice with a superimposed harmonic trapping potential. We study the conditions for linear stability of the mixture and derive a mean-field criterion for the onset of a bosonic superfluid transition. We investigate the ground-state properties of the mixture in the Gutzwiller formulation of mean-field theory, and present numerical studies of finite systems. The bosonic and fermionic density distributions and the onset of quantum phase transitions to demixing and to a bosonic Mott-insulator are studied as a function of the lattice potential strength. The existence is predicted of a disordered phase for mixtures loaded in very deep lattices. Such a disordered phase possessing many degenerate or quasidegenerate ground states is related to a breaking of the mirror symmetry in the lattice.
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页数:11
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