Fermion-mediated long-range interactions of bosons in the one-dimensional Bose-Fermi-Hubbard model

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.011603· OSTI ID:21388665

Mering, Alexander; Fleischhauer, Michael ^[1]

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1. Fachbereich Physik and Research Center OPTIMAS, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern (Germany)

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 in addition to bosonic Mott insulating (MI), superfluid (SF), and charge density-wave phases (CDW) a yet unreported 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 an effective fermion-mediated long-range interaction between bosons with alternating sign.

• OSTI ID: 21388665
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
CHARGE DENSITY
COMPUTERIZED SIMULATION
CRYSTAL MODELS
DENSITY MATRIX
DIAGRAMS
DISTANCE
ENERGY LEVELS
FERMIONS
GROUND STATES
HUBBARD MODEL
INFORMATION
INTERACTION RANGE
MATHEMATICAL MODELS
MATRICES
ONE-DIMENSIONAL CALCULATIONS
ORIENTATION
PERIODICITY
PHASE DIAGRAMS
RENORMALIZATION
SIMULATION
SPIN ORIENTATION
SUPERFLUIDITY
VARIATIONS