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Particles, Holes, and Solitons: A Matrix Product State Approach

Autor(en)

Damian Draxler, Jutho Haegeman, Tobias J. Osborne, Vid Stojevic, Laurens Vanderstraeten, Frank Verstraete

Abstrakt

We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional

quantum field theories. The method is based on continuous matrix

product states and can be implemented efficiently. We study the critical

Lieb-Liniger model as a benchmark and excellent agreement with the

exact solution is found. Additionally, we observe solitonic signatures

of Lieb’s type II excitation. In addition, a nonintegrable model is

introduced where a U(1)-symmetry

breaking term is added to the Lieb-Liniger Hamiltonian. For this model

we find evidence of a nontrivial bound-state excitation in the

dispersion relation.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Gottfried Wilhelm Leibniz Universität Hannover, Ghent University

Journal

Physical Review Letters

Band

111

Anzahl der Seiten

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.111.020402

Publikationsdatum

07-2013

Peer-reviewed

ÖFOS 2012

103036 Theoretische Physik, 103025 Quantenmechanik

Schlagwörter

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