Chapter

Quantum Hall states of ultracold atomic gases

Nigel R. Cooper

in Many-Body Physics with Ultracold Gases

Published in print November 2012 | ISBN: 9780199661886
Published online January 2013 | e-ISBN: 9780191748356 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199661886.003.0005

Series: Lecture Notes of the Les Houches Summer School

Quantum Hall states of ultracold atomic gases

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This chapter reviews the theoretical understanding of Bose and Fermi superfluids under rotation (or in an effective magnetic field) while placing this in context of the current experimental status. It focuses on theoretical predictions of the novel phases that can appear. One goal is to establish the connections with the physics of the fractional quantum Hall effect of electrons in semiconductors. As the chapter is intended to be tutorial in nature, it concentrates on the qualitative features and simple model calculations to present the essential ideas in as physically transparent a way as possible. It begins with a brief review of the properties of Bose–Einstein condensates subjected to rotation.

Keywords: superfluids; rotation; fractional quantum Hall effect; Bose–Einstein condensates; Bose superfluids; Fermi superfluids

Chapter.  18538 words.  Illustrated.

Subjects: Atomic, Molecular, and Optical Physics

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