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Mixtures of bosonic and fermionic atoms in optical lattices
Open accessAbstract
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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Cites
A Simplex Method for Function Minimization
Nelder, J. A., & Mead, R. (1965) · The Computer Journal · doi:10.1093/comjnl/7.4.308 · Cited by 28,905
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
Entanglement of Atoms via Cold Controlled Collisions
Jaksch, D., Briegel, H.-J., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1975 · Cited by 795
Cited by
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Ultracold quantum gases in optical lattices
Bloch, I. (2005) · Nature Physics · doi:10.1038/nphys138 · Cited by 1,457
Quantum phase transitions of light
Greentree, A. D., Tahan, C., Cole, J. H., & Hollenberg, L. C. L. (2006) · Nature Physics · doi:10.1038/nphys466 · Cited by 788
Metadata
- Authors
- Albus, A., Illuminati, F., & Eisert, J.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-08-22
- Volume
- 68
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2084998807
- Cited by
- 187
- References
- 4
- FWCI
- 9.28
- Type
- journal article
- Language
- en
- Open access
- green
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