Fermion mediated long-range interactions of bosons in the 1D Bose-Fermi-Hubbard model
arXiv:0903.5226 · doi:10.1103/PhysRevA.81.011603
Abstract
The ground-state phase diagram of mixtures of spin polarized fermions and bosons in a 1D periodic lattice is discussed in the limit of large fermion hopping and half filling of the fermions. Numerical simulations performed with the density matrix renormalization group (DMRG) show besides bosonic Mott insulating (MI), superfluid (SF), and charge density-wave phases (CDW) a novel phase with spatial separation of MI and CDW regions. We derive an effective bosonic theory which allows for a complete understanding and quantitative prediction of the bosonic phase diagram. In particular the origin of CDW phase and the MI-CDW phase separation is revealed as the interplay between fermion-induced mean-field potential and long range interaction with alternating sign.
4+epsilon pages; major revision containing new numerical results
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- Spin-selective insulators in Bose-Fermi mixtures
- Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
- Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
- Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
- Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
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- Tuning long-range fermion-mediated interactions in cold-atom quantum simulators
- Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field
- The one-dimensional Bose-Fermi-Hubbard model in the limit of fast fermions