An exactly solvable quantum-metamaterial type model
| Autor: | Artur Sowa, Alexandre M. Zagoskin |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Electromagnetic field Physics Quantum Physics General Physics and Astronomy Metamaterial FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Type (model theory) 01 natural sciences 010305 fluids & plasmas Theoretical physics Wavelet Fractal Quantum state Modeling and Simulation 11K36 42A99 42C99 11M35 11M06 0103 physical sciences 010306 general physics Quantum Physics (quant-ph) Quantum metamaterial Quantum Mathematical Physics |
| DOI: | 10.48550/arxiv.1902.05324 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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