Gutenberg Open Science: Particle number conservation and block structures in matrix product states

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8281

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DC Field	Value	Language
dc.contributor.author	Bachmayr, Markus	-
dc.contributor.author	Götte, Michael	-
dc.contributor.author	Pfeffer, Max	-
dc.date.accessioned	2022-12-13T11:15:37Z	-
dc.date.available	2022-12-13T11:15:37Z	-
dc.date.issued	2022	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/8297	-
dc.description.abstract	The eigenvectors of the particle number operator in second quantization are characterized by the block sparsity of their matrix product state representations. This is shown to generalize to other classes of operators. Imposing block sparsity yields a scheme for conserving the particle number that is commonly used in applications in physics. Operations on such block structures, their rank truncation, and implications for numerical algorithms are discussed. Explicit and rank-reduced matrix product operator representations of one- and two-particle operators are constructed that operate only on the non-zero blocks of matrix product states.	en_GB
dc.description.sponsorship	Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577	de
dc.language.iso	eng	de
dc.rights	CC BY	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	Particle number conservation and block structures in matrix product states	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-8281	-
jgu.type.dinitype	article	en_GB
jgu.type.version	Published version	de
jgu.type.resource	Text	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.journal.title	Calcolo	de
jgu.journal.volume	59	de
jgu.pages.alternative	24	de
jgu.publisher.year	2022	-
jgu.publisher.name	Springer Italia	de
jgu.publisher.place	Milano	de
jgu.publisher.issn	1126-5434	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s10092-022-00462-9	de
jgu.organisation.ror	https://ror.org/023b0x485	-
jgu.subject.dfg	Naturwissenschaften	de
Appears in collections:	DFG-491381577-H

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