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arXiv · 1506.08613

Stable coherent states

Antonia Zipfel·Thomas Thiemann
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Abstract

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 poses stable CCS if the classical evolution of the variable 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 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 to certain regions in the phase space by introducing action-angle coordinates.

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Antonia Zipfel, Thomas Thiemann. 2015-06-29. Stable coherent states. https://doi.org/10.1103/physrevd.93.084030

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