Seminari di Sistemi Dinamici Olomorfi 2018-2019

seminar: "Stochastic Methods for the quantum Ising model with transverse field ll"

speaker: Michele Gianfelice (Dipartimento di Matematica e Informatica, Università della Calabria)

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.

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