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Ultracold Atoms in Optical LatticesSimulating quantum many-body systems$
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Maciej Lewenstein, Anna Sanpera, and Verònica Ahufinger

Print publication date: 2012

Print ISBN-13: 9780199573127

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199573127.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 29 November 2021

Ultracold atomic gases in ‘artificial’ gauge fields

Ultracold atomic gases in ‘artificial’ gauge fields

Chapter:
(p.293) 11 Ultracold atomic gases in ‘artificial’ gauge fields
Source:
Ultracold Atoms in Optical Lattices
Author(s):

Maciej Lewenstein

Anna Sanpera

Verònica Ahufinger

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199573127.003.0011

This chapter discusses the physics of ultracold gases in ‘artificial’ magnetic fields. The analogy between electronic systems in the presence of external magnetic fields and ultracold gases in rotating traps leads to the familiar concepts of Landau Levels, the integer Hall effect, the fractional quantum Hall effect, and laughing states for neutral particles. The second part analyses the possibility of simulating Abelian and non Abelian Lattice Gauge theories with ultracold gases. Finally, the state-of-the-art in generating artificial magnetic fields for ultracold gases is reviewed.

Keywords:   Landau levels, integer Hall effect, quantum Hall effect, Dirac points, Abelian Lattice Gauge, lattice gauge fields, topological states, anions

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