Algebraic Bethe ansatz and tensor networks

Autor(en)

V. Murg, V. E. Korepin, F. Verstraete

Abstrakt

The algebraic Bethe ansatz is a prosperous and well-established method for solving one-dimensional quantum models exactly. The solution of the complex eigenvalue problem is thereby reduced to the solution of a set of algebraic equations. Whereas the spectrum is usually obtained directly, the eigenstates are available only in terms of complex mathematical expressions. This makes it very hard, in general, to extract properties from the states, for example, correlation functions. In our work, we apply the tools of tensor-network states to describe the eigenstates approximately as matrix product states. From the matrix product state expression, we then obtain observables like the structure factor, dimer-dimer correlation functions, chiral correlation functions, and one-particle Green function directly.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

State University of New York, Stony Brook

Journal

Physical Review B

Band

86

Anzahl der Seiten

17

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.86.045125

Publikationsdatum

07-2012

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/330b7b6d-ecf0-4297-9482-54a8711f3fa3