Semiclassical asymptotics and entropy
Tatyana Barron, Manimugdha Saikia
TL;DR
This paper investigates the semiclassical behavior of entanglement entropy in quantum states linked to submanifolds of Kaehler manifolds, with a focus on the two-dimensional sphere.
Contribution
It provides new insights into the asymptotic properties of entanglement entropy in the semiclassical limit for specific geometric quantum states.
Findings
Derived semiclassical asymptotics for entanglement entropy
Analyzed entanglement in quantum states on the 2D sphere
Connected geometric structures with quantum entanglement properties
Abstract
We study the entanglement of quantum states associated with submanifolds of Kaehler manifolds. As a motivating example, we discuss the semiclassical asymptotics of entanglement entropy of pure states on the two dimensional sphere with the standard metric.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Spectral Theory in Mathematical Physics · advanced mathematical theories