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arXiv · 1502.05899

Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping

M. A. García-March·A. V. Yuste-Roca·B. Juliá-Díaz·A. Polls
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Abstract

We study a one dimensional gas of repulsively interacting ultracold bosons trapped in a double-well potential as the atom-atom interactions are tuned from zero to infinity. We concentrate on the properties of the excited states which evolve from the so-called NOON states to the NOON Tonks-Girardeau states. The relation between the latter and the Bose-Fermi mapping limit is explored. We state under which conditions NOON Tonks-Girardeau states, which are not predicted by the Bose-Fermi mapping, will appear in the spectrum.

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M. A. García-March, A. V. Yuste-Roca, B. Juliá-Díaz, A. Polls. 2015-02-20. Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping. https://doi.org/10.1103/physreva.92.033621

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