Abstract

We consider a system of spin flip processes, one-for each point of , interacting through an Ising type interaction. We construct a cluster expansion and prove that it is convergent when the intensity h of the spin-flip processes is sufficiently high. The system is relevant in the study of the ground state of a quantum Ising process with transverse magnetic field.

Details

Title
A cluster expansion for interacting spin-flip processes
Author
Campanino, Massimo; Gianfelice, Michele
Section
Computers
Publication year
2017
Publication date
2017
Publisher
EDP Sciences
ISSN
22747214
e-ISSN
2261236X
Source type
Conference Paper
Language of publication
English
ProQuest document ID
2039331990
Copyright
© 2017. This work is licensed under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the terms of the License.