Decay of Quantum Correlations in a Lattice by Heat Kernel Methods

Details Decay of Quantum Correlations in a Lattice by Heat Kernel Methods Decay of Quantum Correlations in a Lattice by Heat Kernel Methods

2007-02-20

arxiv.org/abs/math-ph/0702069v1

Physics

Mathematical Physics

Scientific paper

We prove some estimations of the correlation of two local observables in
quantum spin systems (with Schr\"odinger equations) at large temperature. For
that, we describe the heat kernel of the Hamiltonian for a finite subset of the
lattice, allowing the dimension to tend to infinity. This is an improved
version of an earlier unpublished manuscript.

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