Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems

Autor(en)

Hajime Moriya, Heide Narnhofer

Abstrakt

We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems. We explore a specific example provided by a quasi-free C∗-flow on the one-dimensional fermion lattice system, comparing it with its original discrete shift-translations. Specifically, we demonstrate its explicit dynamical formula, which reveals violations of causality and locality. Furthermore, we prove that this quasi-free C∗-flow on the one-dimensional fermion lattice system cannot be extended to the one-dimensional quantum spin lattice system via the Jordan-Wigner transformation.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Kanazawa University

Journal

Proceedings of the American Mathematical Society

Band

152

Seiten

4479-4491

Anzahl der Seiten

13

ISSN

0002-9939

DOI

https://doi.org/10.48550/arXiv.2405.01001

Publikationsdatum

10-2024

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Allgemeine Mathematik, Applied Mathematics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/f67438f2-5051-44a1-a94d-077efb55a6e4