Abstract
We study the entangling power of a nanoelectromechanical system (NEMS)
simultaneously interacting with two separately trapped ions. To highlight this
entangling capability, we consider a special regime where the ion-ion coupling
does not generate entanglement in the system, and any resulting entanglement
will be the result of the NEMS acting as an entangling device. We study the
dynamical behavior of the bipartite NEMS-induced ion-ion entanglement as well
as the tripartite entanglement of the whole system (ions+NEMS). We found some
quite remarkable phenomena in this hybrid system. \% For instance, the two
trapped ions initially uncorrelated and prepared in coherent states can become
entangled by interacting with a nanoelectromechanical resonator (also prepared
in a coherent state) as soon as the ion-NEMS coupling achieve a certain value,
and this can be controlled by external voltage gate on the NEMS device. By
considering the NEMS in an initial thermal state, we numerically show that
there is not a temperature threshold above which bipartite ion-ion entanglement
ceases. A distinct effect occurs when the NEMS interacts with a thermal
reservoir, above a certain value of temperature, the NEMS induction of ion-ion
entanglement ceases. We also show that tripartite entanglement presents a more
pronounced robustness against the destructive effects of dissipation when
compared to the bipartite content.
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