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\title{\bf Non-Markovian effects in the dynamics of entanglement in the high temperature limit}

\author{Andr\'es F. Estrada$^1$ and Leonardo A. Pach\'on$^1$,\\
               $^1${\small Instituto de F\'isica, Universidad de Antioquia, AA 1226 Medellín, Colombia}}
               

\date{}

\maketitle
\begin{abstract}
\noindent
In the past years, some quantum phenomena have been observed at macroscopic scales. 
In particular, superconductivity, coherent  superpositions of Bose-Einstein condensates and
interference patterns in fullerenes have been detected.
This fact has made that the border between the quantum and classical realms become 
more diffuse and intricate, although, more interesting, than before.\\

However, in order to observe these quantum features, one needs to reach the low temperature
regime, $\hbar\omega/k_\mathrm{B}T\gg 1$, where $\hbar\omega$ denotes a characteristic system energy-scale 
and $k_\mathrm{B}T$ the thermal energy. Therefore, some delicate and elaborate cooling processes have been
developed.\\

Our work aims to show that, even in the the high temperature regime, some quantum features 
such entanglement can be present, if the system is placed out from  equilibrium.
In particular, we study the non-Markovian dynamic of two different harmonic oscillators coupled 
to different baths at different temperatures and with different coupling-to-the-bath-strengths.
We found that, despite the absence of symmetries in the parameters space, entanglement between
the oscillators can be created and maintained in the long-time regime.
We also discuss the implementation of our setup for studying the influence of the non-Markovian dynamics 
in the optimal sideband cooling of nano-mechanical resonators. 
\end{abstract}

{\bf Keywords}: quantum information, computation, decoherence, and entanglement

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

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