Reflection positivity and quantum Griffiths' inequalities
Tadahiro Miyao
TL;DR
This paper introduces a novel approach to deriving quantum Griffiths inequalities using reflection positivity, applying it to quantum rotor and spin-1/2 Heisenberg models, revealing a model-independent structure for correlation inequalities.
Contribution
It presents a new operator inequality-based method for quantum Griffiths inequalities and uncovers a universal structure underlying correlation inequalities across models.
Findings
Clarifies the connection between reflection positivity and Griffiths inequalities
Applies the method successfully to quantum rotor and spin-1/2 Heisenberg models
Identifies a model-independent framework for correlation inequalities
Abstract
We propose a new method of constructing the quantum Griffiths inequality. From a viewpoint of operator inequalities, we first study the quantum rotor model. This viewpoint clarifies important connections between the reflection positivity and the Griffiths inequality. Next we apply our method to the spin- quantum Heisenberg model. Finally we point out a model-independent structure which governs the correlation inequalities.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectroscopy and Quantum Chemical Studies · Quantum Information and Cryptography · Organic and Molecular Conductors Research