Defect generation and dynamics during quenching in finite size homogeneous ion chains
Soft Condensed Matter
2020-08-26 v2 Quantum Physics
Abstract
An equally spaced linear chain of ions provides a test-bed for studying the defect formation in a finite size 1D system. In particular, defect formation related to topological phase transition from a linear configuration to a zig-zag one is of interest here. A semi-empirical expression provides an excellent agreement to the numerical results. The non-adiabatic transition between the chain and zig-zag topologies for a finite size system of 30 ions shows clear distinction from non-uniformly distributed ion chain. Thus the underlying Homogeneous Kibble-Zurek model can be tested in presently accessible ion trap experiments. Furthermore, our study indicates collective defect behaviour appearing through the correlation length measurements.
Cite
@article{arxiv.2001.09586,
title = {Defect generation and dynamics during quenching in finite size homogeneous ion chains},
author = {J. Pedregosa-Gutierrez and M. Mukherjee},
journal= {arXiv preprint arXiv:2001.09586},
year = {2020}
}