Paper: May 05,2015
cond-mat.quant-gas
ID:1505.00722
Competing exotic quantum phases of spin-$1/2$ ultra-cold lattice bosons with extended spin interactions
Advances in pure optical trapping techniques now allow the creation of
degenerate Bose gases with internal degrees of freedom. Systems such as
${}^{87}$Rb, $^{39}$K or ${}^{23}$Na in the $F=1$ hyperfine state offer an
ideal platform for studying the interplay of superfluidity and quantum
magnetism. Motivated by the experimental developments, we study ground state
phases of a two-component Bose gas loaded on an optical lattice. The system is
described effectively by the Bose-Hubbard Hamiltonian with onsite and near
neighbor spin-spin interactions. An important feature of our investigation is
the inclusion of interconversion (spin flip) terms between the two species,
which has been observed in optical lattice experiments. Using mean-field theory
and quantum Monte Carlo simulations, we map out the phase diagram of the
system. A rich variety of phases is identified, including antiferromagnetic
(AF) Mott insulators, ferromagnetic and AF superfluids.
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Paper Author: Chia-Chen Chang,Valéry G. Rousseau,Richard T. Scalettar,George G. Batrouni
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