Detection and engineering of spatial mode entanglement with ultra-cold bosons
arXiv:0902.2096 · doi:10.1103/PhysRevA.80.022338
Abstract
We outline an interferometric scheme for the detection of bi-mode and multi-mode spatial entanglement of finite-temperature,interacting Bose gases of fixed particle number. Whether entanglement is present in the gas depends on the existence of the single-particle reduced density matrix between different regions of space. We apply the scheme to the problem of a harmonically trapped boson pair and show that while entanglement is rapidly decreasing with temperature, a significant amount remains for all interaction strengths at zero temperature.Thus, by tuning the interaction parameter, the distribution of entanglement between many spatial modes can be modified.
5 pages, 3 figures
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