The European Physical Journal B - Condensed Matter and Complex Systems

, Volume 45, Issue 3, pp 405–417

Spectroscopy of a driven solid-state qubit coupled to a structured environment

Mesoscopic Physics

DOI: 10.1140/epjb/e2005-00192-5

Cite this article as:
Goorden, M., Thorwart, M. & Grifoni, M. Eur. Phys. J. B (2005) 45: 405. doi:10.1140/epjb/e2005-00192-5


We study the asymptotic dynamics of a driven spin-boson system where the environment is formed by a broadened localized mode. Upon exploiting an exact mapping, an equivalent formulation of the problem in terms of a quantum two-state system (qubit) coupled to a harmonic oscillator which is itself Ohmically damped, is found. We calculate the asymptotic population difference of the two states in two complementary parameter regimes. For weak damping and low temperature, a perturbative Floquet-Born-Markovian master equation for the qubit-oscillator system can be solved. We find multi-photon resonances corresponding to transitions in the coupled quantum system and calculate their line-shape analytically. In the complementary parameter regime of strong damping and/or high temperatures, non-perturbative real-time path integral techniques yield analytic results for the resonance line shape. In both regimes, we find very good agreement with exact results obtained from a numerical real-time path-integral approach. Finally, we show for the case of strong detuning between qubit and oscillator that the width of the n-photon resonance scales with the nth Bessel function of the driving strength in the weak-damping regime.

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Authors and Affiliations

  1. 1.Instituut-Lorentz, Universiteit LeidenLeidenThe Netherlands
  2. 2.Institut für Theoretische Physik IV, Heinrich-Heine-Universität DüsseldorfDüsseldorfGermany
  3. 3.Institut für Theoretische Physik, Universität RegensburgRegensburgGermany