**abstract:**
We consider the ground state of the quantum Ising model with tranverse
field $h$ in one dimension in a finite volume
$\Delta_{{m}:={}-m,-m+1,?,m+L}$ .
Making use of a representation of the model in terms of a Gibbs random
field in 1+1 dimension, for values of the external field sufficiently
large, we prove a bound for the entaglement of the interval
$\Lambda_{{L}:={0,..,L}$} relative to its complement
$\Delta_{{m}\backslash\Lambda}_{{L}$} which is uniform in $m$ and $L$.
The bound is established by means of a suitable cluster expansion.
Joint work with M. Campanino.

Fri 5 Apr, 10:00 - 11:00, Sala Conferenze Centro De Giorgi

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