Holstein model and Peierls instability in 1D boson-fermion lattice gases

Abstract

We study an ultracold bose-fermi mixture in a one dimensional optical lattice. When boson atoms are heavier then fermion atoms the system is described by an adiabatic Holstein model, exhibiting a Peierls instability for commensurate fermion filling factors. A Bosonic density wave with a wavenumber of twice the Fermi wavenumber will appear in the quasi one-dimensional system.

5 pages, 4 figures

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Cited by in corpus (15)

• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Polaron Physics in Optical Lattices
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
• Heteronuclear molecules in an optical lattice: Theory and experiment
• Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?
• Quantum-entanglement aspects of polaron systems
• Sound propagation in a Bose-Fermi mixture: from weak to strong interactions
• Fermion mediated long-range interactions of bosons in the 1D Bose-Fermi-Hubbard model
• Long-Range Non-Equilibrium Coherent Tunneling Induced by Fractional Vibronic Resonances
• Charge and spin correlations of a Peierls insulator after a quench
• Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
• Energy flow during relaxation in an electron-phonon system with multiple modes: A nonequilibrium Green's function study
• Polaron model of pseudogap state in quasi-one-dimentional systems