We consider a system of spin flip processes, one-for each point of $\mathbb{Z}$, 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.
A cluster expansion for interacting spin-flip processes
GIANFELICE, Michele
2017-01-01
Abstract
We consider a system of spin flip processes, one-for each point of $\mathbb{Z}$, 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.File in questo prodotto:
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