Bosonic lattice systems with extended interactions constitute a unique platform to study new
phases of matter. This work presents an analysis of the Bose–Hubbard model with density …

We study an experimentally feasible system of strongly correlated bosons with random
hoppings described by the infinite-range Bose-Hubbard model on a lattice with hopping …

We propose a method to trap polar molecules with the electric force induced by the surface
acoustic wave (SAW) on piezoelectric materials. In this approach, the electric force is …

Phase transition into the phase with Bose-Einstein (BE) condensate in the two-band Bose-
Hubbard model with the particle hopping in the excited band only is investigated. Instability …

Phase transitions are investigated in the Bose-Fermi-Hubbard model in the mean field and
hard-core boson approximations for the case of infinitely small fermion transfer and …

The hierarchy of correlations is an approximation scheme which permits the study of non-
equilibrium phenomena in strongly interacting quantum many-body systems on lattices in …

This work contains a quantum rotor analysis of the bond-charge interaction extended Bose–
Hubbard model. Adding extended interactions to bosonic optical lattice models reveals new …

The phase transitions in the Bose-Fermi-Hubbard model are investigated. The boson
Green's function is calculated in the random phase approximation (RPA) and the formalism …

Phase transitions at non-zero temperatures in ultracold Bose-and Fermi-particles mixture in
optical lattices using the Bose-Fermi-Hubbard model in the mean field and hard-core boson …

The pure Bose–Hubbard model, a staple of optical lattice-related research that describes
bosonic condensation, is examined at finite temperatures. Advanced analytical methods are …