Jump to ContentJump to Main Navigation
Ultracold Atoms in Optical LatticesSimulating quantum many-body systems$
Users without a subscription are not able to see the full content.

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

Show Summary Details
Page of

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: 03 December 2021

Statistical physics of condensed matter: basic concepts

Statistical physics of condensed matter: basic concepts

(p.13) 2 Statistical physics of condensed matter: basic concepts
Ultracold Atoms in Optical Lattices

Maciej Lewenstein

Anna Sanpera

Verònica Ahufinger

Oxford University Press

This chapter explains the basic ideas and concepts of the modern quantum theory of condensed matter. It starts by discussing phase transition in classical systems, scaling, and renormalisation theory, both in real and in momentum space. The chapter then moves on to quantum systems and discusses Bose–Einstein condensation (BEC) in non-interacting gases. It presents the concept of quantum phase transitions, illustrating it with spin systems and BEC in weakly interacting gases. Finally, the chapter discusses specific properties of low dimensional Bose systems: the role of phase fluctuations in 1D and 2D gases, Tonks-Girardeau gas in 1D, and Berezinskii-Kosterlitz-Thouless transition in 2D.

Keywords:   phase transitions, scaling theory, renormalization, quantum phase transitions, Bose–Einstein condensation, Tonks-Girardeau gas, Berezinskii-Kosterlitz-Thouless, phase fluctuations

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .