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

Jutho Haegeman, Tobias J. Osborne, and Frank Verstraete
Phys. Rev. B 88, 075133 – Published 20 August 2013

Abstract

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.

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  • Received 14 May 2013

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

©2013 American Physical Society

Authors & Affiliations

Jutho Haegeman1, Tobias J. Osborne2, and Frank Verstraete1,3

  • 1Department of Physics and Astronomy, University of Ghent, Krijgslaan 281 S9, B-9000 Ghent, Belgium
  • 2Leibniz Universität Hannover, Institute of Theoretical Physics, Appelstrasse 2, D-30167 Hannover, Germany
  • 3Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Wien, Austria

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Issue

Vol. 88, Iss. 7 — 15 August 2013

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