Two Nambu-Goldstone zero modes for rotating Bose-Einstein condensates
Quantum Gases
2021-12-22 v1
Abstract
We consider rotating finite size vortex arrays in Bose-Einstein condensates that are confined by cylindrically symmetric external potentials. We show that such systems possess two exact Nambu-Goldstone zero modes associated with two spontaneously broken continuous symmetries of the system. We verify our analytical result via direct numerical diagonalizations of the Bogoliubov-de Gennes equations. We conclude by comparing rotating vortex lattices in superfluids to supersolids and discrete time crystals.
Cite
@article{arxiv.2109.04648,
title = {Two Nambu-Goldstone zero modes for rotating Bose-Einstein condensates},
author = {Rodney E. S. Polkinghorne and Tapio P. Simula},
journal= {arXiv preprint arXiv:2109.04648},
year = {2021}
}
Comments
6 pages, 3 figures