|Title||Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping|
|Publication Type||Journal Article|
|Year of Publication||2015|
|Authors||García-March, MA, A.Yuste,, B.Juliá-Díaz,, A.Polls,|
|Journal||Physical Review A|
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.