What is it about?
We explore what happens when coherent states are transplanted into an infinite quantum system. The resulting nonlocal coherent states retain many of the characteristic features of traditional coherent states while revealing new mathematical structures linking quantum physics, harmonic analysis, and number theory.
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Why is it important?
The passage from finitely many quantum modes to infinitely many is mathematically subtle and cannot be achieved by a simple extension of familiar constructions. This work develops a new and rigorous framework for nonlocal coherent states, avoiding the machinery of quantum field theory while opening new connections between quantum physics, harmonic analysis, and number theory.
Perspectives
The framework developed here offers new tools for describing collective excitations and coherence phenomena in solid-state physics. More broadly, its inherently exo-geometric character suggests new directions in quantum information theory while intersecting with emerging themes in post-quantum cryptography.
Dr Artur P Sowa
University of Saskatchewan
Read the Original
This page is a summary of: Nonlocal coherent states in an infinite array of boson sites, Physica A Statistical Mechanics and its Applications, July 2025, Elsevier,
DOI: 10.1016/j.physa.2025.130606.
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