Quantum Hall physics in rotating Bose-Einstein condensates

TL;DR

This paper reviews the theoretical predictions and experimental progress in realizing quantum Hall physics in rotating Bose-Einstein condensates, highlighting the potential for observing strongly correlated states and their applications in topological quantum computing.

Contribution

It provides a comprehensive overview of the development in understanding quantum Hall effects in cold bosonic gases and discusses future prospects for topological quantum computing.

Findings

Predicted quantum Hall-like states in rotating BECs.

Experimental techniques approaching the quantum Hall regime.

Potential use of strongly correlated states in topological quantum computing.

Abstract

The close theoretical analogy between the physics of rapidly rotating atomic Bose condensates and the quantum Hall effect (i.e., a two dimensional electron gas in a strong magnetic field) was first pointed out ten years ago. As a consequence of this analogy, a large number of strongly correlated quantum Hall-type states have been predicted to occur in rotating Bose systems, and suggestions have been made how to manipulate and observe their fractional quasiparticle excitations. Due to a very rapid development in experimental techniques over the past years, experiments on BEC now appear to be close to reaching the quantum Hall regime. This paper reviews the theoretical and experimental work done to date in exploring quantum Hall physics in cold bosonic gases. Future perspectives are discussed briefly, in particular the idea of exploiting some of these strongly correlated states in the context of topological quantum computing.