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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