Uncomputability of phase diagrams

Phase diagrams describe how a system changes phenomenologically as an external parameter, such as a magnetic field strength, is varied. Here, the authors prove that in general such a phase diagram is uncomputable, by explicitly constructing a one-parameter Hamiltonian for which this is the case.

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Autores principales: Johannes Bausch, Toby S. Cubitt, James D. Watson
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/aec51a62637544b49346800bbd48664f
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spelling oai:doaj.org-article:aec51a62637544b49346800bbd48664f2021-12-02T14:18:54ZUncomputability of phase diagrams10.1038/s41467-020-20504-62041-1723https://doaj.org/article/aec51a62637544b49346800bbd48664f2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41467-020-20504-6https://doaj.org/toc/2041-1723Phase diagrams describe how a system changes phenomenologically as an external parameter, such as a magnetic field strength, is varied. Here, the authors prove that in general such a phase diagram is uncomputable, by explicitly constructing a one-parameter Hamiltonian for which this is the case.Johannes BauschToby S. CubittJames D. WatsonNature PortfolioarticleScienceQENNature Communications, Vol 12, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Science
Q
spellingShingle Science
Q
Johannes Bausch
Toby S. Cubitt
James D. Watson
Uncomputability of phase diagrams
description Phase diagrams describe how a system changes phenomenologically as an external parameter, such as a magnetic field strength, is varied. Here, the authors prove that in general such a phase diagram is uncomputable, by explicitly constructing a one-parameter Hamiltonian for which this is the case.
format article
author Johannes Bausch
Toby S. Cubitt
James D. Watson
author_facet Johannes Bausch
Toby S. Cubitt
James D. Watson
author_sort Johannes Bausch
title Uncomputability of phase diagrams
title_short Uncomputability of phase diagrams
title_full Uncomputability of phase diagrams
title_fullStr Uncomputability of phase diagrams
title_full_unstemmed Uncomputability of phase diagrams
title_sort uncomputability of phase diagrams
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/aec51a62637544b49346800bbd48664f
work_keys_str_mv AT johannesbausch uncomputabilityofphasediagrams
AT tobyscubitt uncomputabilityofphasediagrams
AT jamesdwatson uncomputabilityofphasediagrams
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