Hierarchical equations of motion: Difference between revisions

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===Implementations===
The HEOM method is implemented in a number of freely available codes. A number of these are at the website of [[Yoshitaka Tanimura]]<ref>url=http://theochem.kuchem.kyoto-u.ac.jp/resarch/resarch08.htm</ref> including a version for GPUs <ref name=Tsuchimoto>{{Citation | last = Tsuchimoto | first = Masashi |author2= Tanimura, Yoshitaka| year = 2015 | authorlink = Masashi Tsuchimoto | author2link = Yoshitaka Tanimura |title=Spins Dynamics in a Dissipative Environment: Hierarchal Equations of Motion Approach Using a Graphics Processing Unit (GPU) | journal = Journal of Chemical Theory and Computation | volume = 11 | issue = 7 | pages = 3859–3865| doi = 10.1021/acs.jctc.5b00488 | pmid = 26574467 }}</ref> which used improvements introduced by David Wilkins and Nike Dattani.<ref>{{cite journal |last1=Wilkins |first1=David |author2= Dattani, Nike|title=Why quantum coherence is not important in the Fenna-Matthews-Olsen Complex |journal=Journal of Chemical Theory and Computation |year=2015 |volume=11 |issue=7 |pages=3411–9 |doi=10.1021/ct501066k |pmid=26575775 |arxiv=1411.3654 |s2cid=15519516 |url=https://doi.org/10.1021/ct501066k}}</ref> The [[nanoHUB]] version provides a very flexible implementation.<ref>{{Cite journal|url=https://nanohub.org/resources/16106/relax|doi = 10.4231/D3RF5KH7G|year = 2017|last1 = Kreisbeck|first1 = Christoph|last2 = Kramer|first2 = Tobias|title = Exciton Dynamics Lab for Light-Harvesting Complexes (GPU-HEOM)}}</ref> An open source parallel CPU implementation is available from the [[Klaus Schulten|Schulten]] group.<ref>url=https://www.ks.uiuc.edu/Research/phi/</ref> The HierarchicalEOM.jl<ref>{{CitationCite journal |url=https://www.nature.com/articles/s42005-023-01427-2 | last = Huang | first = Yi-Te |author2= Kuo, Po-Chen |author3= Lambert, Neill |author4= Cirio, Mauro |author5= Cross, Simon |author6=Yang, Shen-Liang |author7= Nori, Franco |author8= Chen, Yueh-Nan | year = 2023 |title=An efficient Julia framework for hierarchical equations of motion in open quantum systems | journal = Communications Physics | volume = 6 | issue = 1 | pages = 313 | doi = 10.1038/s42005-023-01427-2}}</ref> is an open source software package written in [[Julia (programming language)]] and provides a user-friendly implementation on both CPUs and GPUs.
 
==See also==