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

Goorden, M. C. and Thorwart, M. and Grifoni, Milena (2005) Spectroscopy of a driven solid-state qubit coupled to a structured environment. EUROPEAN PHYSICAL JOURNAL B, 45 (3). pp. 405-417. ISSN 1434-6028,

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: SPIN-BOSON MODEL; PARAMETRICALLY DRIVEN; HARMONIC-OSCILLATOR; FLUX QUBIT; DYNAMICS; CIRCUIT;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 May 2021 12:23
Last Modified: 10 May 2021 12:23
URI: https://pred.uni-regensburg.de/id/eprint/36042

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