General properties of overlap operators in disordered quantum spin systems
C. Itoi

TL;DR
This paper investigates the properties of overlap operators in disordered quantum spin systems, extending classical identities to quantum settings and analyzing their implications for understanding disorder effects.
Contribution
It introduces quantum extensions of Ghirlanda-Guerra identities and explores their impact on the properties of overlap operators in disordered quantum spin systems.
Findings
Quantum Ghirlanda-Guerra identities derived
Properties of overlap spin operators analyzed
Insights into disorder effects in quantum systems
Abstract
We study short-range quantum spin systems with Gaussian disorder. We obtain quantum mechanical extensions of the Ghirlanda-Guerra identities. We discuss properties of overlap spin operators with these identities.
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