Bound-state spectrum of an impurity in a quantum vortex
Abstract
We consider the problem of finding the bound-state spectrum of an impurity immersed in a weakly interacting two-dimensional Bose-Einstein condensate supporting a single vortex. We obtain approximate expressions for the energy levels and show that, due to the finite size of the condensate, the impurity can access only a finite number of physical bound states. By virtue of the topological quantization of the vorticity and of the emergence of the Tkachenko lattice, this system is promising as a robust and scalable platform for the realization of qubits. Moreover, it provides a potentially new paradigm for polaron physics in Bose-Einstein condensates and a glimpse towards the study of quantum turbulence in low-dimensionality systems.
Cite
@article{arxiv.1910.08434,
title = {Bound-state spectrum of an impurity in a quantum vortex},
author = {João E. H. Braz and H. Terças},
journal= {arXiv preprint arXiv:1910.08434},
year = {2020}
}
Comments
Bose-Einstein condensates, quantum vortices, impurity, bound states, bound state spectrum