Thomás Fogarty, Endre Kajari, Bruno G. Taketani, Alexander Wolf, Thomas Busch, Giovanna Morigi
We theoretically predict that two defects embedded in a crystalline structure, a harmonic chain, can be entangled through coupling with the crystal. Entanglement is found at long times for sufficiently cold chains and for a certain class of initial, separable states of the defects. The calculation is performed for a specific physical realization based on trapped ions, but can be extended to other systems exhibiting spatial order, such as optical lattices or cavity arrays in circuit QED. The predicted entanglement is robust against fluctuations of the chain parameters, such as its size, and of the elapsed time, as long as finite size effects can be neglected. Entanglement results from the interplay between localized modes in the regime in which the chain acts as a thermal bath for each individual defect, and is an example of quantum reservoir engineering.
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http://arxiv.org/abs/1208.1378
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