Abstract
We reveal a generic mechanism of generating sign-alternating intersite interactions mediated by strongly correlated lattice bosons. The ground-state phase diagram of the two-component hard-core Bose–Hubbard model on a square lattice at half-integer filling factor for each component, obtained by worm algorithm Monte Carlo simulations, is strongly modified by these interactions and features the solid+superfluid (SF) phase for strong asymmetry between the hopping amplitudes. The new phase is a direct consequence of the effective nearest-neighbor repulsion between ‘heavy’ atoms mediated by the ‘light’ SF component. Due to their sign-alternating character, mediated interactions lead to a rich variety of yet to be discovered quantum phases.
Highlights
We reveal a generic mechanism of generating sign-alternating inter-site interactions mediated by strongly correlated lattice bosons
Control over lattice geometry and interaction strength has increased dramatically, opening up new directions in the study of quantum phases of cold gases. (For reviews, see [2, 3].) Thanks to refinements in experimental and theoretical tools, it is possible to look at exotic quantum states which arise in bosonic systems with pseudospin degrees of freedom or multiple species
By controlling superexchange interactions of particles confined in an optical lattice, it is possible to switch between different ground states [5]
Summary
We reveal a generic mechanism of generating sign-alternating inter-site interactions mediated by strongly correlated lattice bosons. Lattice solids offer the possibility of having a supersolid phase featuring both broken translation symmetry and the ability to support a superflow, e.g. in a single-species square-lattice bosonic system with soft-core on-site interactions and appropriately strong nearest-neighbor interactions [13].
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