Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator
Quantum Physics
2016-11-18 v1
Abstract
We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.
Cite
@article{arxiv.1503.06324,
title = {Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator},
author = {Rémi Azouit and Alain Sarlette and Pierre Rouchon},
journal= {arXiv preprint arXiv:1503.06324},
year = {2016}
}
Comments
submitted to IEEE-CDC 2015