Authors:	Bachmayr, Markus Götte, Michael Pfeffer, Max
Title:	Particle number conservation and block structures in matrix product states
Online publication date:	13-Dec-2022
Year of first publication:	2022
Language:	english
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.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-8281
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Calcolo 59
Pages or article number:	24
Publisher:	Springer Italia
Publisher place:	Milano
Issue date:	2022
ISSN:	1126-5434
Publisher DOI:	10.1007/s10092-022-00462-9
Appears in collections:	DFG-491381577-H