Variational matrix product ansatz for dispersion relations

Autor(en)

Jutho Haegeman, Bogdan Corneliu Pirvu, David Weir, J. Ignacio Cirac, Tobias J. Osborne, Henri Verschelde, Frank Verstraete

Abstrakt

A variational ansatz for momentum eigenstates of translation-invariant

quantum spin chains is formulated. The matrix product state ansatz works

directly in the thermodynamic limit and allows for an efficient

implementation (cubic scaling in the bond dimension) of the variational

principle. Unlike previous approaches, the ansatz includes topologically

nontrivial states (kinks, domain walls) for systems with symmetry

breaking. The method is benchmarked using the spin-½ XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet, and we obtain surprisingly accurate results.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University , Imperial College London, Max-Planck-Institut für Quantenoptik, Gottfried Wilhelm Leibniz Universität Hannover

Journal

Physical Review B

Band

85

Anzahl der Seiten

5

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.85.100408

Publikationsdatum

03-2012

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/c12b1368-8f3d-441a-862d-04d365c23ffc