Hall effects in Bose-Einstein condensates in a rotating optical lattice

TL;DR

This paper demonstrates fractional quantum Hall effects in a rotating Bose-Einstein condensate within an optical lattice, using the Kubo formalism to analyze single-particle and few-body strongly interacting systems.

Contribution

It introduces a method to observe fractional quantum Hall features in BECs with a co-rotating optical lattice, combining effective magnetic fields and trap potentials.

Findings

Fractional quantum Hall features observed in single-particle systems.

Strongly interacting few-particle systems exhibit quantum Hall characteristics.

Effective magnetic fields achieved via co-rotation and lattice design.

Abstract

Using the Kubo formalism, we demonstrate fractional quantum Hall features in a rotating Bose-Einstein condensate in a co-rotating two-dimensional optical lattice. The co-rotating lattice and trap potential allow for an effective magnetic field and compensation of the centrifugal potential. Fractional quantum Hall features are seen for the single-particle system and for few strongly interacting many-particle systems.