Fast mode of rotating atoms in one-dimensional lattice rings

TL;DR

This paper investigates the conditions under which atoms in one-dimensional lattice rings enter a fast rotation mode, revealing differences from continuum rings and effects of fermionic interactions and filling factors.

Contribution

It introduces a detailed analysis of the fast rotation mode in lattice rings, highlighting the impact of fermionic interactions and filling factors, which differ from continuum ring behavior.

Findings

Transition frequencies differ from continuum rings.

Fermionic interactions significantly affect the transition.

Pauli principle can suppress the fast mode.

Abstract

We study the rotation of atoms in one-dimensional lattice rings. In particular, the "fast mode", where the ground state atoms rotate faster than the stirring rotating the atoms, is studied both analytically and numerically. The conditions for the transition to the fast mode are found to be very different from that in continuum rings. We argue that these transition frequencies remain unchanged for bosonic condensates described in a mean field. We show that Fermionic interaction and filling factor have a significant effect on the transition to the fast mode, and Pauli principle may suppress it altogether.