Stable coherent states

Stable coherent states

We analyze the stability under time evolution of complexifier coherent states (CCS) in one-dimensional mechanical systems. A system of coherent states is called stable if it evolves into another coherent state. It turns out that a system can only possess stable CCS if the classical evolution of the...

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Veröffentlicht in:Physical review. D 2016-04, Vol.93 (8), Article 084030
Hauptverfasser: Zipfel, Antonia, Thiemann, Thomas
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Sprache:eng
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Coherence
Conjugates
Cosmology
Evolution
Gravitation
Mathematical models
Mechanical systems
Stability
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Thiemann, Thomas
description We analyze the stability under time evolution of complexifier coherent states (CCS) in one-dimensional mechanical systems. A system of coherent states is called stable if it evolves into another coherent state. It turns out that a system can only possess stable CCS if the classical evolution of the variable z=e super(-iL[chi]Cq) for a given complexifier C depends only on z itself and not on its complex conjugate. This condition is very restrictive in general so that only a few systems exist that obey this condition. However, it is possible to access a wider class of models that in principle may allow for stable coherent states associated with certain regions in the phase space by introducing action-angle coordinates.
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subjects Coherence
Conjugates
Cosmology
Evolution
Gravitation
Mathematical models
Mechanical systems
Stability
title Stable coherent states
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