Published 2009 | Version v1
Miscellaneous Metadata-only

Analytical results on matrix product states

Creators

  • 1. Institute for Theoretical Physics, Technikerstr. 25a, 6020 Innsbruck (Austria)

Description

Full text: We consider representations of Hamiltonians in terms of matrix product operators (MPOs), following and generalizing the approach presented by Murg et al in arXiv:0804.3976. We show how to efficiently represent arbitrary pairwise interaction Hamiltonians of N d-dimensional systems by a low dimensional MPO of bond dimension D=O(d2 N). We regard special instances as same interaction kind for all pairs, mimicking 2D systems and discuss extensions to k-body interactions and pair-entangled projected operators. (author)

Part of:
Joint annual meeting of the Austrian physical society, Swiss physical society, Austrian society of astronomy and astrophysics in Innsbruck. Bulletin SPG / SSP Vol 26, 2009; OEPG Tagungsband Nr. 59

Additional details

Additional titles

Original title (English)
Gemeinsame Jahrestagung in Innsbruck der Oesterreichischen Physikalischen Gesellschaft, der Schweizer Physikalischen Gesellschaft und der Oesterreichischen Gesellschaft fuer Astronomie und Astrophysik. Bulletin SPG / SSP Vol 26, 2009; OEPG Tagungsband Nr. 59

Identifiers

URL
http://oepg2009.uibk.ac.at/; http://oepg2009.uibk.ac.at/program/Session_1_Atom.pdf;

Publishing Information

Publisher
Austrian Physical Society
Imprint Place
Innsbruck (Austria)
Imprint Title
Joint annual meeting of the Austrian physical society, Swiss physical society, Austrian society of astronomy and astrophysics in Innsbruck. Bulletin SPG / SSP Vol 26, 2009; OEPG Tagungsband Nr. 59
Imprint Pagination
254 p.
Journal Page Range
p. 61

Conference

Title
Joint annual meeting of the Austrian physical society, Swiss physical society, Austrian society of astronomy and astrophysics
Original Conference Title
Gemeinsame Jahrestagung der Oesterreichischen Physikalischen Gesellschaft, der Schweizer Physikalischen Gesellschaft, der Oesterreichischen Gesellschaft fuer Astronomie und Astrophysik
Dates
2-4 Sep 2009
Place
Innsbruck (Austria)

INIS

Country of Publication
Austria
Country of Input or Organization
Austria
INIS RN
41128414
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference, Non-conventional Literature
Descriptors DEI
ANALYTICAL SOLUTION; HAMILTONIANS; QUANTUM ENTANGLEMENT; QUANTUM OPERATORS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; QUANTUM OPERATORS

Optional Information

Notes
Imprint:Gemeinsame Jahrestagung in Innsbruck der Oesterreichischen Physikalischen Gesellschaft, der Schweizer Physikalischen Gesellschaft und der Oesterreichischen Gesellschaft fuer Astronomie und Astrophysik. Bulletin SPG / SSP Vol 26, 2009; OEPG Tagungsband Nr. 59