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Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence
Universality classes of non-unitary critical theories in two-dimensions are characterized by the central charge. However, experimental determination of the central charge of a non-unitary critical theory has not been done before because of the intrinsic difficulty that complex parameters usually occ...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Nature Publishing Group UK
2018
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5814547/ https://www.ncbi.nlm.nih.gov/pubmed/29449578 http://dx.doi.org/10.1038/s41598-018-21360-7 |
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author | Wei, Bo-Bo |
author_facet | Wei, Bo-Bo |
author_sort | Wei, Bo-Bo |
collection | PubMed |
description | Universality classes of non-unitary critical theories in two-dimensions are characterized by the central charge. However, experimental determination of the central charge of a non-unitary critical theory has not been done before because of the intrinsic difficulty that complex parameters usually occur in non-unitary theory, which is not physical. Here we propose to extract the effective central charge of the non-unitary critical point of a two-dimensional lattice model from the quantum coherence measurement of a probe spin which is coupled to the lattice model. A recent discovery shows that quantum coherence of a probe spin which is coupled to a bath is proportional to the partition function of the bath with a complex parameter. Thus the effective central charge of a non-unitary conformal field theory may be extracted from quantum coherence measurement of a probe spin which is coupled to a bath. We have applied the method to the Yang-Lee edge singularity of the two-dimensional Ising model and extracted the effective central charge of the Yang-Lee edge singularity with good precision and tested other predictions of non-unitary conformal field theory. This work paves the way for the first experimental observation of the effective central charge of non-unitary conformal field theory. |
format | Online Article Text |
id | pubmed-5814547 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-58145472018-02-21 Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence Wei, Bo-Bo Sci Rep Article Universality classes of non-unitary critical theories in two-dimensions are characterized by the central charge. However, experimental determination of the central charge of a non-unitary critical theory has not been done before because of the intrinsic difficulty that complex parameters usually occur in non-unitary theory, which is not physical. Here we propose to extract the effective central charge of the non-unitary critical point of a two-dimensional lattice model from the quantum coherence measurement of a probe spin which is coupled to the lattice model. A recent discovery shows that quantum coherence of a probe spin which is coupled to a bath is proportional to the partition function of the bath with a complex parameter. Thus the effective central charge of a non-unitary conformal field theory may be extracted from quantum coherence measurement of a probe spin which is coupled to a bath. We have applied the method to the Yang-Lee edge singularity of the two-dimensional Ising model and extracted the effective central charge of the Yang-Lee edge singularity with good precision and tested other predictions of non-unitary conformal field theory. This work paves the way for the first experimental observation of the effective central charge of non-unitary conformal field theory. Nature Publishing Group UK 2018-02-15 /pmc/articles/PMC5814547/ /pubmed/29449578 http://dx.doi.org/10.1038/s41598-018-21360-7 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Wei, Bo-Bo Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence |
title | Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence |
title_full | Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence |
title_fullStr | Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence |
title_full_unstemmed | Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence |
title_short | Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence |
title_sort | probing conformal invariant of non-unitary two-dimensional systems by central spin decoherence |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5814547/ https://www.ncbi.nlm.nih.gov/pubmed/29449578 http://dx.doi.org/10.1038/s41598-018-21360-7 |
work_keys_str_mv | AT weibobo probingconformalinvariantofnonunitarytwodimensionalsystemsbycentralspindecoherence |