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: 17 January 2022

Many-body physics from a quantum information perspective

Many-body physics from a quantum information perspective

Chapter:
(p.340) 12 Many-body physics from a quantum information perspective
Source:
Ultracold Atoms in Optical Lattices
Author(s):

Maciej Lewenstein

Anna Sanpera

Verònica Ahufinger

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199573127.003.0012

This chapter deals with the novel characterisation of many-body physics using tools from quantum information theory. The first part focuses on the theory of entanglement, where the basic notions as bipartite versus multipartite entanglement, measures of entanglement, and the link between entangled states completely positive maps are discussed. The second part deals with the concept of area law, relating the von Neumann measure of the entropy of a subsystem with the size of the system for gapped, critical, and topological systems. The entanglement content in critical quantum systems is studied in reference to quantum phase transitions. Finally, the round states of many-body systems with a tensor network representation are described.

Keywords:   quantum information, Schmidt decomposition, entanglement, area law, matrix product states, tensor network representation

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 .