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A simple tensor network algorithm for two-dimensional steady states
Understanding dissipation in 2D quantum many-body systems is an open challenge which has proven remarkably difficult. Here we show how numerical simulations for this problem are possible by means of a tensor network algorithm that approximates steady states of 2D quantum lattice dissipative systems...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5668304/ https://www.ncbi.nlm.nih.gov/pubmed/29097666 http://dx.doi.org/10.1038/s41467-017-01511-6 |
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author | Kshetrimayum, Augustine Weimer, Hendrik Orús, Román |
author_facet | Kshetrimayum, Augustine Weimer, Hendrik Orús, Román |
author_sort | Kshetrimayum, Augustine |
collection | PubMed |
description | Understanding dissipation in 2D quantum many-body systems is an open challenge which has proven remarkably difficult. Here we show how numerical simulations for this problem are possible by means of a tensor network algorithm that approximates steady states of 2D quantum lattice dissipative systems in the thermodynamic limit. Our method is based on the intuition that strong dissipation kills quantum entanglement before it gets too large to handle. We test its validity by simulating a dissipative quantum Ising model, relevant for dissipative systems of interacting Rydberg atoms, and benchmark our simulations with a variational algorithm based on product and correlated states. Our results support the existence of a first order transition in this model, with no bistable region. We also simulate a dissipative spin 1/2 XYZ model, showing that there is no re-entrance of the ferromagnetic phase. Our method enables the computation of steady states in 2D quantum lattice systems. |
format | Online Article Text |
id | pubmed-5668304 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-56683042017-11-07 A simple tensor network algorithm for two-dimensional steady states Kshetrimayum, Augustine Weimer, Hendrik Orús, Román Nat Commun Article Understanding dissipation in 2D quantum many-body systems is an open challenge which has proven remarkably difficult. Here we show how numerical simulations for this problem are possible by means of a tensor network algorithm that approximates steady states of 2D quantum lattice dissipative systems in the thermodynamic limit. Our method is based on the intuition that strong dissipation kills quantum entanglement before it gets too large to handle. We test its validity by simulating a dissipative quantum Ising model, relevant for dissipative systems of interacting Rydberg atoms, and benchmark our simulations with a variational algorithm based on product and correlated states. Our results support the existence of a first order transition in this model, with no bistable region. We also simulate a dissipative spin 1/2 XYZ model, showing that there is no re-entrance of the ferromagnetic phase. Our method enables the computation of steady states in 2D quantum lattice systems. Nature Publishing Group UK 2017-11-03 /pmc/articles/PMC5668304/ /pubmed/29097666 http://dx.doi.org/10.1038/s41467-017-01511-6 Text en © The Author(s) 2017 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 Kshetrimayum, Augustine Weimer, Hendrik Orús, Román A simple tensor network algorithm for two-dimensional steady states |
title | A simple tensor network algorithm for two-dimensional steady states |
title_full | A simple tensor network algorithm for two-dimensional steady states |
title_fullStr | A simple tensor network algorithm for two-dimensional steady states |
title_full_unstemmed | A simple tensor network algorithm for two-dimensional steady states |
title_short | A simple tensor network algorithm for two-dimensional steady states |
title_sort | simple tensor network algorithm for two-dimensional steady states |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5668304/ https://www.ncbi.nlm.nih.gov/pubmed/29097666 http://dx.doi.org/10.1038/s41467-017-01511-6 |
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