TL;DR
This paper develops a unified framework for Griffiths inequalities in quantum systems using operator inequalities and self-dual cones, applicable to various models like quantum Ising, rotor, Bose-Hubbard, Hubbard, and Heisenberg.
Contribution
It introduces a model-independent structure for quantum Griffiths inequalities based on operator inequalities and self-dual cones, broadening their applicability.
Findings
Unified framework for quantum Griffiths inequalities
Applicable to multiple quantum models
Provides a model-independent correlation structure
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.
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