Distance dependence of entanglement generation via a bosonic heat bath

Details Distance dependence of entanglement generation via a bosonic heat bath Distance dependence of entanglement generation via a bosonic heat bath

2008-12-19

arxiv.org/abs/0812.3782v2

Physics

Quantum Physics

4 pages, 3 figures, new title, final version to appear in Phys. Rev. Lett

Scientific paper

Within a generalized Caldeira-Leggett model we analyze the conditions under which a bosonic heat bath can entangle two microscopic quantum systems at a distance $r$. We find that the attainable entanglement is extremely distance-sensitive. Significant entanglement can only be achieved if the systems are within a {\em microscopic} distance that is of order of the cut-off wavelength $\lambda$ of the system-bath interaction. At larger distances the maximal entanglement is exponentially suppressed with a decay length of order $\lambda$. We conclude that entanglement generation via a heat bath is not suitable for entangling remote objects.

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