Quantum Phase Transitions in a Linear Ion Trap
Quantum Physics
2022-09-21 v1
Abstract
We show that the quantum phase transition of the Tavis-Cummings model can be realised in a linear ion trap of the kind proposed for quantum computation. The Tavis-Cummings model describes the interaction between a bosonic degree of freedom and a collective spin. In an ion trap, the collective spin system is a symmetrised state of the internal electronic states of N ions, while the bosonic system is the vibrational degree of freedom of the centre of mass mode for the ions.
Cite
@article{arxiv.quant-ph/0003001,
title = {Quantum Phase Transitions in a Linear Ion Trap},
author = {G. J. Milburn and Paul Alsing},
journal= {arXiv preprint arXiv:quant-ph/0003001},
year = {2022}
}
Comments
6 pages and 2 figures. submitted to Dan Walls Memorial Volume, edited by H. Carmichael, R. Glauber, and M. Scully, to be published by Springer