Macroscopic entanglement and phase transitions

This paper summarises the results of our research on macroscopic entanglement in spin systems and free Bosonic gases. We explain how entanglement can be observed using entanglement witnesses which are themselves constructed within the framework of thermodynamics and thus macroscopic observables. The...

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Hlavní autoři: Anders, J, Vedral, V
Médium: Conference item
Vydáno: 2007
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author Anders, J
Vedral, V
author_facet Anders, J
Vedral, V
author_sort Anders, J
collection OXFORD
description This paper summarises the results of our research on macroscopic entanglement in spin systems and free Bosonic gases. We explain how entanglement can be observed using entanglement witnesses which are themselves constructed within the framework of thermodynamics and thus macroscopic observables. These thermodynamical entanglement witnesses result in bounds on macroscopic parameters of the system, such as the temperature, the energy or the susceptibility, below which entanglement must be present. The derived bounds indicate a relationship between the occurrence of entanglement and the establishment of order, possibly resulting in phase transition phenomena. We give a short overview over the concepts developed in condensed matter physics to capture the characteristics of phase transitions in particular in terms of order and correlation functions. Finally we want to ask and speculate whether entanglement could be a generalised order concept by itself, relevant in (quantum induced) phase transitions such as BEC, and that taking this view may help us to understand the underlying process of high-T superconductivity. © Springer Science+Business Media B.V. 2007.
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spelling oxford-uuid:7c80df08-167c-49eb-aa67-ce6e41d15b962022-03-26T20:57:34ZMacroscopic entanglement and phase transitionsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:7c80df08-167c-49eb-aa67-ce6e41d15b96Symplectic Elements at Oxford2007Anders, JVedral, VThis paper summarises the results of our research on macroscopic entanglement in spin systems and free Bosonic gases. We explain how entanglement can be observed using entanglement witnesses which are themselves constructed within the framework of thermodynamics and thus macroscopic observables. These thermodynamical entanglement witnesses result in bounds on macroscopic parameters of the system, such as the temperature, the energy or the susceptibility, below which entanglement must be present. The derived bounds indicate a relationship between the occurrence of entanglement and the establishment of order, possibly resulting in phase transition phenomena. We give a short overview over the concepts developed in condensed matter physics to capture the characteristics of phase transitions in particular in terms of order and correlation functions. Finally we want to ask and speculate whether entanglement could be a generalised order concept by itself, relevant in (quantum induced) phase transitions such as BEC, and that taking this view may help us to understand the underlying process of high-T superconductivity. © Springer Science+Business Media B.V. 2007.
spellingShingle Anders, J
Vedral, V
Macroscopic entanglement and phase transitions
title Macroscopic entanglement and phase transitions
title_full Macroscopic entanglement and phase transitions
title_fullStr Macroscopic entanglement and phase transitions
title_full_unstemmed Macroscopic entanglement and phase transitions
title_short Macroscopic entanglement and phase transitions
title_sort macroscopic entanglement and phase transitions
work_keys_str_mv AT andersj macroscopicentanglementandphasetransitions
AT vedralv macroscopicentanglementandphasetransitions