Physics – Condensed Matter
Scientific paper
2003-04-10
Phys.Rev. A68 (2003) 023606
Physics
Condensed Matter
11 pages, 8 figures; added discussions; conclusions and references expanded
Scientific paper
10.1103/PhysRevA.68.023606
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 quasi--degenerate ground states is related to a breaking of the mirror symmetry in the lattice.
Albus Alexander
Eisert Jens
Illuminati Fabrizio
No associations
LandOfFree
Mixtures of Bosonic and Fermionic Atoms in Optical Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mixtures of Bosonic and Fermionic Atoms in Optical Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixtures of Bosonic and Fermionic Atoms in Optical Lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-273823