| Issue |
MATEC Web Conf.
Volume 125, 2017
21st International Conference on Circuits, Systems, Communications and Computers (CSCC 2017)
|
|
|---|---|---|
| Article Number | 04030 | |
| Number of page(s) | 2 | |
| Section | Computers | |
| DOI | https://doi.org/10.1051/matecconf/201712504030 | |
| Published online | 04 October 2017 | |
A cluster expansion for interacting spin-flip processes
1 Dipartimento di Matematica, Università degli Studi di Bologna, P.zza di Porta San Donato 5, 40126 Bologna, Italy
2 Dipartimento di Matematica, Università della Calabria, Campus di Arcavacata, Ponte P. Bucci - cubo 30B, 87036 Arcavacata di Rende, Italy
* e-mail: Massimo.Campanino@unibo.it
** e-mail: gianfelice@mat.unical.it
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.
© The Authors, published by EDP Sciences, 2017
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