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International Conference on Complex Systems (ICCS2006)

Localization phenomena and pattern formation in quantum physics

Antonina Fedorova
IPME, Russian Academy of Sciences

Michael Zeitlin
Mathematical Methods in Mechanics Group, IPME, Russian Academy of Sciences

     Full text: Not available
     Last modified: April 25, 2006

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.
Presentation is based on arXiv preprints quant-ph/0505114, quant-ph/0505115 and
references therein, and paper Pattern Formation in Quantum Ensembles, Int. J. Modern Physics, B, 2006, in press.

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