Pattern Formation in Quantum Ensembles

Details Pattern Formation in Quantum Ensembles Pattern Formation in Quantum Ensembles

2007-11-05

arxiv.org/abs/0711.0724v1

International J. of Modern Physics B, Vol. 20, Nos. 11-13 (2006) 1570-1592

Physics

Quantum Physics

LaTeX2e, 23 pages, 13 figures, ws-ijmpb.cls, published in International Journal of Modern Physics B, Vol. 20, Nos. 11-13 (20

Scientific paper

10.1142/S0217979206033875

We present a family of methods, analytical and numerical, which can describe behaviour in (non) equilibrium ensembles, both classical and quantum, especially in the complex systems, where the standard approaches cannot be applied. We demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoherent, from basic localized modes in various collective models arising from the quantum hierarchy of Wigner-von Neumann-Moyal-Lindblad equations, which are the result of ``wignerization'' procedure of classical BBGKY hierarchy. We present the explicit description of internal quantum dynamics by means of exact analytical/numerical computations.

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