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\title{\bf Dynamical Quantum Non-locality}

\author{C\'esar E. Pach\'on$^1$, Leonardo A. Pach\'on$^2$\\
               $^1${\small Escuela de F\'isica, Universidad Industrial de Santander, Bucaramanga, Colombia}\\
               $^2${\small Instituto de F\'{\i}sica, Universidad de Antioquia, AA 1226 Medell\'in, Colombia}}

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\begin{abstract}
\noindent
Non-locality of correlations between systems is one of the hallmarks of quantum 
mechanics. Non-locality is responsible for unexpected features of system dynamics 
at the quantum regime such as tunnelling and entanglement; it has also recently 
been extensively exploited as a resource for quantum information \cite{BC&10}. The 
origin of non-locality of quantum measurements and its relations to the fundamental 
postulates of quantum mechanics, such as the uncertainty principle, have been only 
recently elucidated \cite{OW10}. However, quantum interference problems involve 
two kind of non-localities: a non-locality expressed in terms of the Bell-inequalities (of 
kinematic nature, the one discussed in \cite{OW10}) and the non-locality of the quantum 
equation of motion of a physical observable (of dynamic nature) \cite{APP69,Pop10}. 
The latter has been barely discussed, explored or understood \cite{Pop10}. 
We trace here the origin of dynamical non-locality to the superposition principle mediated 
by the presence of non-linear interactions between systems and discuss the disappearance 
of non-locality in the classical realm.
This relation adds to the more fundamental understanding of nature's quantum dynamics 
and allows us to establish and identify how the uncertainty principle and the superposition 
determine the non-local character of the outcome of quantum measurements.
As a consequence, dynamical quantum non-locality emerges, naturally, as the responsible
for the suppression of chaos, understood in the classical sense, in the quantum dynamics.
\end{abstract}

{\bf Keywords}: Dynamical non-locality, path integrals, Wigner function

Modality: Poster \; \; \;E-mail: \texttt{pc.cesar1@gmail.com} 

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