Patterns in Wigner-Weyl approach
Antonina N. Fedorova, Michael G. Zeitlin

TL;DR
This paper introduces a family of methods based on the Wigner-Weyl approach to analyze quantum ensembles, capable of describing complex states such as localized, chaotic, entangled, or decoherent states from basic modes.
Contribution
It presents novel methods for modeling quantum ensemble behaviors and the formation of complex patterns within the Wigner-von Neumann-Moyal framework.
Findings
Demonstrates creation of nontrivial stable states from basic modes
Describes behavior of quantum ensembles with complex patterns
Provides tools for analyzing localized and chaotic quantum states
Abstract
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoherent from basic localized modes in collective models arising from the quantum hierarchy of Wigner-von Neumann-Moyal equations.
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