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arXiv · 1902.05324

An exactly solvable quantum-metamaterial type model

A. P. Sowa·A. M. Zagoskin
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Abstract

The key difficulty in the modelling of large quantum coherent structures lies in keeping track of nonlocal, multipoint quantum correlations between their constituent parts. Here we consider a special case of such a system, a fractal quantum metamaterial interacting with electromagnetic field, and show that it can be exactly solved by using a combination of the Haar transform and the Wigner-Weyl transform. Theoretical and experimental investigation of finite-size precursors to exactly solvable fractal quantum structures as this will help illuminate the behaviour of generic quantum coherent structures on a similar spatio-temporal scale.

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BibTeXRIS

A. P. Sowa, A. M. Zagoskin. 2019-02-14. An exactly solvable quantum-metamaterial type model. https://doi.org/10.1088/1751-8121%2Fab3a67

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