Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
Abstract
We examine the dynamics of circulating modes of a Bose-Einstein condensate confined in toroidal lattice. Nonlinearity due to interactions leads to criticality that separates oscillatory and self-trapped phases among counter-propagating modes which however share the same physical space. In the mean-field limit, the criticality is found to substantially enhance sensitivity to rotation of the system. Analysis of the quantum dynamics reveals the fluctuations near criticality are significant, that we explain using spin-squeezing formalism visualized on a Bloch sphere. We utilize the squeezing to propose a Ramsey interferometric scheme that suppresses fluctuation in the relevant quadrature sensitive to rotation.
Keywords
Cite
@article{arxiv.1511.02320,
title = {Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice},
author = {Michal Kolář and Tomáš Opatrný and Kunal K. Das},
journal= {arXiv preprint arXiv:1511.02320},
year = {2015}
}
Comments
11 pages, 9 figures (Fig. 9 resolution reduced to meet size limits)