98 research outputs found
Searching for a Supersolid in Cold Atom Optical Lattices
We suggest a technique for the observation of a predicted supersolid phase in
extended Bose-Hubbard models which are potentially realizable in cold atom
optical lattice systems. In particular, we discuss important subtleties arising
from the existence of the trapping potential which leads to an externally
imposed (as opposed to spontaneous) breaking of translational invariance. We
show, by carefully including the trapping potential in our theoretical
formalism, that noise correlations could prove instrumental in identifying the
supersolid and density wave phases. We also find that the noise correlation
peak width scales inversely with the relative size of trapped Mott domains.Comment: 5 pages, 4 figure
Jastrow-Correlated Wavefunctions for Flat-Band Lattices
The electronic band structure of many compounds, e.g., carbon-based
structures, can exhibit essentially no dispersion. Models of electrons in
flat-band lattices define non-perturbative strongly correlated problems by
default. We construct a set of Jastrow-correlated ansatz wavefunctions to
capture the low energy physics of interacting particles in flat bands. We test
the ansatz in a simple Coulomb model of spinless electrons in a honeycomb
ribbon. We find that the wavefunction accurately captures the ground state in a
transition from a crystal to a uniform quantum liquid.Comment: 5 pages, 4 figures, update context, references and publication
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