Mixtures of Bosonic and Fermionic Atoms in Optical Lattices

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dc.creatorAlbus, Alexander
dc.creatorIlluminati, Fabrizio
dc.creatorEisert, Jens
dc.date2003-04-10
dc.date2003-05-15
dc.date.accessioned2026-07-07T06:31:38Z
dc.date.available2026-07-07T06:31:38Z
dc.descriptionWe 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.
dc.description11 pages, 8 figures; added discussions; conclusions and references expanded
dc.identifierhttps://arxiv.org/abs/cond-mat/0304223
dc.identifierhttp://arxiv.org/abs/cond-mat/0304223
dc.identifierPhys.Rev. A68 (2003) 023606
dc.identifierdoi:10.1103/PhysRevA.68.023606
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98663
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleMixtures of Bosonic and Fermionic Atoms in Optical Lattices
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