Some implications of superconducting quantum interference to the application of master equations in engineering quantum technologies
Abstract
In this paper we consider the modelling and simulation of open quantum systems from a device engineering perspective. We derive master equations at different levels of approximation for a Superconducting Quantum Interference Device (SQUID) ring coupled to an ohmic bath. We demonstrate that the master equations we consider produce decoherences that are qualitatively and quantitativly dependent on both the level of approximation and the ring's external flux bias. We discuss the issues raised when seeking to obtain Lindbladian dissipation and show, in this case, that the external flux (which may be considered to be a control variable in some applications) is not confined to the Hamiltonian, as often assumed in quantum control, but also appears in the Lindblad terms.
Keywords
Cite
@article{arxiv.1605.06268,
title = {Some implications of superconducting quantum interference to the application of master equations in engineering quantum technologies},
author = {S. N. A. Duffus and K. N. Bjergstrøm and V. M. Dwyer and J. H. Samson and T. P. Spiller and A. M. Zagoskin and W. J. Munro and Kae Nemoto and M. J. Everitt},
journal= {arXiv preprint arXiv:1605.06268},
year = {2016}
}
Comments
11 pages, 4 figures