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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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Disordered ultracold atomic gases

Disordered ultracold atomic gases

(p.205) 9 Disordered ultracold atomic gases
Ultracold Atoms in Optical Lattices

Maciej Lewenstein

Anna Sanpera

Verònica Ahufinger

Oxford University Press

This chapter starts with an introduction to disordered systems, with an emphasis on disorder in condensed matter, and discusses such phenomena as the Anderson localization, and quantum phases such as with Bose glass. It then turns to various experimental realizations of disorder in ultracold atomic gases. The chapter focuses on disordered Bose-Einstein condensates and the phenomenon of Anderson localization in speckle or quasi-periodic, quasi-random potential. It moves on to disordered ultracold fermionic systems, and disordered ultracold Bose–Fermi (B–F) and Bose–Bose (B–B) mixtures. Finally, the chapter examines spin glasses (providing a brief presentation of the mean field theory of Parisi, and the droplet model) and disorder induced order.

Keywords:   disordered systems, Anderson localization, Anderson transition, Bose glass, ultracold fermionic systems, Bose–Fermi mixtures, droplet model, replica trick, replica symmetry breaking, disorder induced order

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