Strongly interacting bosons in optical lattices in synthetic magnetic field

Date

Mar 16, 2017

Time

4:30 PM - 5:00 PM

Speaker

Konrad Patucha

Affiliation

ILTSR Wroclaw

Language

en

Main Topic

Physik

Other Topics

Physik

Description

We study the behavior of interacting ultracold bosonic atoms in optical lattices in synthetic magnetic field using Bose-Hubbard model in quantum rotor approach. We focus on the impact of the width and number of magnetic subbands on the formation of the coherent state of ultracold bosons. Pinpointing the most significant parameters of the band structure allowed us to devise a method of reconstruction of the Hofstadter butterfly spectrum by replacing the magnetic subbands with renormalized bands of a square lattice. Thanks to this method, we were able to study coherence of bosons for wide range of magnetic fluxes. We also study Hall conductivity of bosonic systems. We consider lattices with non-zero Chern number such as square lattice in a synthetic magnetic field and Haldane model. The derived formula for Hall conductivity bears a strong resemblance to the famous TKNN formula. We present the dependence of the Hall conductivity on temperature and model parameters.

Last modified: Mar 16, 2017, 8:53:11 AM