Quantum Griffiths inequalities

Abstract

We present a general framework of Griffiths inequalities for quantum systems. Our approach is based on operator inequalities associated with self-dual cones and provides a consistent viewpoint of the Griffiths inequality. As examples, we discuss the quantum Ising model, quantum rotor model, Bose--Hubbard model, Hubbard model, and spin-1/2 quantum Heisenberg model. We present a model-independent structure that governs the correlation inequalities.

Revised and improved version, to appear in J. Stat. Phys

References in corpus (1)

• Reflection Positivity for Parafermions

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