Jaynes Cummings treatment of superconducting resonators with dielectric loss due to two-level systems

Abstract

We perform a quantum mechanical analysis of superconducting resonators subject to dielectric loss arising from charged two-level systems. We present numerical and analytical descriptions of the dynamics of energy decay from the resonator within the Jaynes-Cummings model. Our analysis allows us to distinguish the strong and weak coupling regimes of the model and to describe within each regime cases where the two-level system is unsaturated or saturated. We find that the quantum theory agrees with the classical model for weak coupling. However, for strong coupling the quantum theory predicts lower loss than the classical theory in the unsaturated regime. Also, in contrast to the classical theory, the photon number at which saturation occurs in the strong coupling quantum theory is independent of the coupling between the resonator and the two-level system.

9 pages, 8 figures

References in corpus (15)

• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Single artificial-atom lasing
• Improving the Coherence Time of Superconducting Coplanar Resonators
• Response of the Strongly-Driven Jaynes-Cummings Oscillator
• Quantum two-level systems in Josephson junctions as naturally formed qubits
• High-fidelity gates in a Josephson qubit
• Reducing quantum-regime dielectric loss of silicon nitride for superconducting quantum circuits
• Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime
• Single-artificial-atom lasing using a voltage-biased superconducting charge qubit
• Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems
• Anomalous avoided level crossings in a Cooper-pair box spectrum
• Exact solution for quantum dynamics of a periodically-driven two-level-system
• Relaxation of Josephson qubits due to strong coupling to two-level systems
• A Josephson Junction Microscope for Low-frequency Fluctuators
• Realistic quantum manipulation of two-level system fluctuators

Cited by in corpus (5)

• Dynamical Decoupling of Quantum Two-Level Systems by Coherent Multiple Landau-Zener Transitions
• Protecting superconducting qubits from phonon mediated decay
• Fluctuation Spectroscopy of Two-Level Systems in Superconducting Resonators
• Simulating noise on a quantum processor: interactions between a qubit and resonant two-level system bath
• Anomalous Loss Reduction Below Two-Level System Saturation in Aluminum Superconducting Resonators