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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Nature Portfolio
2021
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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) |
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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 |
_version_ |
1718391625605971968 |