Post-matrix product state methods: To tangent space and beyond

Autor(en)

Jutho Haegeman, Tobias J. Osborne, Frank Verstraete

Abstrakt

We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time evolution, excitations, and spectral functions. We focus on the case of systems with translation invariance in the thermodynamic limit, where momentum is a well-defined quantum number. We present some illustrative results and discuss analogous constructions for other variational classes. We also discuss generalizations and extensions beyond the tangent space, and give a general outlook towards post-matrix product methods.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Gottfried Wilhelm Leibniz Universität Hannover, Ghent University

Journal

Physical Review B

Band

88

Anzahl der Seiten

35

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.88.075133

Publikationsdatum

08-2013

Peer-reviewed

Ja

ÖFOS 2012

103015 Kondensierte Materie, 103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/75d95030-3543-4638-a5dd-80b93b5246ee