Antonina N. Fedorova and Michael G. Zeitlin
IPME RAS, St.Petersburg, Russia
We present a family of methods which can describe complex behaviour in quantum ensembles.
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 advantages of such an approach are as follows:
Effects we are interested in are as follows:
The numerical simulation demonstrates the formation of various (meta) stable patterns or orbits generated by internal hidden symmetry from generic high-localized fundamental modes.
These (nonlinear) eigenmodes are more realistic for the modeling of (quasi)classical/quantum dynamical process than the (linear) gaussian-like coherent states.
In addition, we can control the type of behaviour on the pure algebraic level by means of properly reduced algebraic systems (generalized dispersion relations).
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