English

Landau-Zener tunnelling in dissipative circuit QED

Quantum Physics 2008-12-01 v3 Mesoscale and Nanoscale Physics

Abstract

We investigate the influence of temperature and dissipation on the Landau-Zener transition probability in circuit QED. Dissipation is modelled by coupling the transmission line to a bath of harmonic oscillators. The reduced description for the density operator is treated within Bloch-Redfield theory. A phase-space representation allows an efficient numerical implementation of the resulting master equation. It provides reliable results which are valid even for rather low temperatures. We find that the spin-flip probability as a function of temperature and dissipation strength exhibits a non-monotonic behaviour. Our numerical results are complemented by analytical solutions for zero temperature and for vanishing dissipation strength.

Keywords

Cite

@article{arxiv.0807.1748,
  title  = {Landau-Zener tunnelling in dissipative circuit QED},
  author = {David Zueco and Peter Hänggi and Sigmund Kohler},
  journal= {arXiv preprint arXiv:0807.1748},
  year   = {2008}
}

Comments

Accepted for publication