Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice

Abstract

We investigate the quantum phase diagram of Bose-Fermi mixtures of ultracold dipolar particles trapped in one-dimensional optical lattices in the thermodynamic limit. With the presence of nearest-neighbor (N.N.) interactions, a long-ranged ordered crystalline phase (Bose-Fermi solid) is found stabilized between a Mott insulator of bosons and a band-insulator of fermions in the limit of weak inter-site tunneling ($J$). When $J$ is increased, such a Bose-Fermi solid can be quantum melted into a Bose-Fermi liquid through either a two-stage or a three-stage transition, depending on whether the crystalline order is dominated by the N.N. interaction between fermions or bosons. These properties can be understood as quantum competition between a pseudo-spin frustration and a pseudo-spin-charge separation, qualitatively different from the classical picture of solid-liquid phase transition.

References in corpus (16)

• A High Phase-Space-Density Gas of Polar Molecules
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Hidden order in 1D Bose insulators
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• Quantum fluids of self-assembled chains of polar molecules
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Self-Trapping of Bosons and Fermions in Optical Lattices
• Engineering Superfluidity in Bose-Fermi Mixtures of Ultracold Atoms
• Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model