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

TitleMesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping
Publication TypeJournal Article
Year of Publication2015
AuthorsGarcía-March, MA, A.Yuste,, B.Juliá-Díaz,, A.Polls,
JournalPhysical Review A
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.

DOI10.1103/PhysRevA.92.033621
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