Supersolid and solitonic phases in one-dimensional Extended Bose-Hubbard model

TL;DR

This paper investigates quantum phase transitions in a one-dimensional extended Bose-Hubbard model, revealing supersolid, charge density wave, Mott insulator, and solitonic phases through numerical simulations.

Contribution

It provides new insights into the coexistence of crystalline and superfluid orders in the supersolid phase at non-commensurate fillings.

Findings

Identification of charge density wave and Mott insulator phases at commensurate fillings.

Discovery of supersolid phase with coexisting crystalline and superfluid orders.

Observation of solitary waves and superfluidity signatures.

Abstract

We report our findings on quantum phase transitions in cold bosonic atoms in a one dimensional optical lattice using the finite size density matrix renormalization group method in the framework of the extended Bose-Hubbard model. We consider wide ranges of values for the filling factors and the nearest neighbor interactions. At commensurate fillings, we obtain two different types of charge density wave phases and a Mott insulator phase. However, departure from commensurate fillings yield the exotic supersolid phase where both the crystalline and the superfluid orders coexist. In addition, we obtain signatures for solitary waves and also superfluidity.