Order Indices and Entanglement Production in Quantum Systems

Order Indices and Entanglement Production in Quantum Systems

The review is devoted to two important quantities characterizing many-body systems, order indices and the measure of entanglement production. Order indices describe the type of order distinguishing statistical systems. Contrary to the order parameters characterizing systems in the thermodynamic limi...

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Main Author: Vyacheslav I. Yukalov
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Entropy
Subjects:
order indices
many-body systems
entanglement production
quantum operations
phase transitions
temporal evolution
Online Access:https://www.mdpi.com/1099-4300/22/5/565
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spelling doaj-0352e8a3f63a4f6eba4fa06c5d50efbe2020-11-25T03:23:35ZengMDPI AGEntropy1099-43002020-05-012256556510.3390/e22050565Order Indices and Entanglement Production in Quantum SystemsVyacheslav I. Yukalov0Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia; yukalovtheor.jinr.ruThe review is devoted to two important quantities characterizing many-body systems, order indices and the measure of entanglement production. Order indices describe the type of order distinguishing statistical systems. Contrary to the order parameters characterizing systems in the thermodynamic limit and describing long-range order, the order indices are applicable to finite systems and classify all types of orders, including long-range, mid-range, and short-range orders. The measure of entanglement production quantifies the amount of entanglement produced in a many-partite system by a quantum operation. Despite that the notions of order indices and entanglement production seem to be quite different, there is an intimate relation between them, which is emphasized in the review.https://www.mdpi.com/1099-4300/22/5/565order indicesmany-body systemsentanglement productionquantum operationsphase transitionstemporal evolution
collection DOAJ
language English
format Article
sources DOAJ
author Vyacheslav I. Yukalov
spellingShingle Vyacheslav I. Yukalov
Order Indices and Entanglement Production in Quantum Systems
Entropy
order indices
many-body systems
entanglement production
quantum operations
phase transitions
temporal evolution
author_facet Vyacheslav I. Yukalov
author_sort Vyacheslav I. Yukalov
title Order Indices and Entanglement Production in Quantum Systems
title_short Order Indices and Entanglement Production in Quantum Systems
title_full Order Indices and Entanglement Production in Quantum Systems
title_fullStr Order Indices and Entanglement Production in Quantum Systems
title_full_unstemmed Order Indices and Entanglement Production in Quantum Systems
title_sort order indices and entanglement production in quantum systems
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2020-05-01
description The review is devoted to two important quantities characterizing many-body systems, order indices and the measure of entanglement production. Order indices describe the type of order distinguishing statistical systems. Contrary to the order parameters characterizing systems in the thermodynamic limit and describing long-range order, the order indices are applicable to finite systems and classify all types of orders, including long-range, mid-range, and short-range orders. The measure of entanglement production quantifies the amount of entanglement produced in a many-partite system by a quantum operation. Despite that the notions of order indices and entanglement production seem to be quite different, there is an intimate relation between them, which is emphasized in the review.
topic order indices
many-body systems
entanglement production
quantum operations
phase transitions
temporal evolution
url https://www.mdpi.com/1099-4300/22/5/565
work_keys_str_mv AT vyacheslaviyukalov orderindicesandentanglementproductioninquantumsystems
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