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

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 $n$-th Bessel function of the driving strength in the weak-damping regime.

13 pages, 5 figures

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• Nonlinear response of a driven vibrating nanobeam in the quantum regime
• Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation
• Multiphoton transitions in Josephson-junction qubits (Review Article)
• Deterministic constant-temperature dynamics for dissipative quantum systems
• Dynamics of a qubit coupled to a broadened harmonic mode at finite detuning
• Probe spectroscopy of quasienergy states
• Dynamic transition in Landau-Zener-Stückelberg interferometry of dissipative systems: the case of the flux qubit
• Non-Markovian dynamics of a biased qubit coupled to a structured bath
• Floquet stroboscopic divisibility in non-Markovian dynamics
• Quantum dynamics in a tiered non-Markovian environment
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• Maximum entangled states and quantum Teleportation via Single Cooper pair Box
• Dynamics of a qubit coupled to a dissipative nonlinear quantum oscillator: an effective bath approach
• Decoherence and relaxation of a qubit coupled to an Ohmic bath directly and via an intermediate harmonic oscillator
• Dissipative dynamics of a qubit coupled to a nonlinear oscillator
• Revealing the system-bath coupling via Landau-Zener-Stückelberg interferometry in superconducting qubits
• Mesoscopic fluctuations in biharmonically driven flux qubits