Quantum multiresolution: tower of scales

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Fedorova, Antonina N.^1 ; Zeitlin, Michael G.^1

IPME RAS, V.O. Bolshoj pr., 61, St.-Petersburg, 199178, Russia^1

关键词: Algebraic system;    Dispersion relations;    Fundamental modes;    Hidden symmetry;    Localized modes;    Multi resolutions;    Stable patterns;    Stable state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012216/pdf
DOI  :  10.1088/1742-6596/490/1/012216

来源: IOP

【 摘 要 】

We demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoherent, from the basic localized modes in various collective models arising from the quantum hierarchy described by Wigner-like equations. The numerical simulation demonstrates the formation of various (meta) stable patterns or orbits generated by internal hidden symmetry from generic high-localized fundamental modes. In addition, we can control the type of behaviour on the pure algebraic level by means of properly reduced algebraic systems (generalized dispersion relations).