Mobile Impurities and Orthogonality Catastrophe in two-dimensional Vortex Lattices
arXiv:1409.6279 · doi:10.1103/PhysRevA.91.013608
Abstract
We investigate the properties of a neutral impurity atom coupled with the Tkachenko modes of a two-dimensional vortex lattice Bose-Einstein condensate. In contrast with polarons in homogeneous condensates, the marginal impurity-boson interaction in the vortex lattice leads to infrared singularities in perturbation theory and to the breakdown of the quasiparticle picture in the low energy limit. These infrared singularities are interpreted in terms of a renormalization of the coupling constant, quasiparticle weight and effective impurity mass. The divergence of the effective mass in the low energy limit gives rise to an orthogonality catastrophe which is manifested as a power law singularity in the impurity spectral function.
arXiv comment10 pages, 4 figures
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Cited by in corpus (4)
- Polaron in dilute 2D Bose gas at low temperatures
- Rotational states of an asymmetric vortex pair with mass imbalance in binary condensates
- Supercurrents and tunneling in massive many-vortex necklaces and star-lattices
- Tunable breakdown of the polaron picture for mobile impurities in a topological semimetal