Traces of integrability in scattering of one-dimensional dimers on a barrier

Abstract

We consider molecules made of two one-dimensional short-range-interacting bosonic atoms. We show that in the process of scattering of these molecules off a narrow barrier, odd incident waves produce \emph{no unbound atoms, even when the incident energy exceeds the dissociation threshold}. This effect is a consequence of a prohibition on chemical reactions acting in a generally unphysical Bethe Ansatz integrable system of a $C_2$-type, with which our system shares the spatially odd eigenstates. We suggest several experimental implementations of the effect. We also propose to use the monomer production as an alternative read-out channel in an atom interferometer: unlike in the standard interferometric schemes, no spatial separation of the output channels will be required.

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Cited by in corpus (4)

• Roadmap on Atomtronics: State of the art and perspective
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Asymmetric Bethe Ansatz
• Exact Solution for Two $\delta$-Interacting Bosons on a Ring in the Presence of a $\delta$-Barrier: Asymmetric Bethe Ansatz for Spatially Odd States