Rabi oscillations in a qubit coupled to a quantum two-level system

Abstract

We consider the problem of a qubit driven by a harmonically oscillating external field while it is coupled to a quantum two-level system. We perform a systematic numerical analysis of the problem by varying the relevant parameters. The numerical calculations agree with the predictions of a simple intuitive picture, namely one that takes into consideration the four-level energy spectrum, the simple principles of Rabi oscillations and the basic effects of decoherence. Furthermore, they reveal a number of other interesting phenomena. We provide explanations for the various features that we observe in the numerical calculations and discuss how they can be used in experiment. In particular, we suggest an experimental procedure to characterize an environment of two-level systems.

8 pages (two-column), 5 figures

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• Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
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• Rabi spectroscopy of a strongly driven qubit-fluctuator system
• Multi-level Spectroscopy of Two-Level Systems Coupled to a dc SQUID Phase Qubit
• Quantum trajectory theory of few photon cavity-QED systems with a time-delayed coherent feedback
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• A Josephson Junction Microscope for Low-frequency Fluctuators
• Probing a composite spin-boson environment
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• Stabilizing and improving qubit coherence by engineering noise spectrum of two-level systems
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• Quantum Dynamics of a Microwave Driven Superconducting Phase Qubit Coupled to a Two-Level System
• Entanglement dynamics of a superconducting phase qubit coupled to a two-level system
• Generating three-photon Rabi oscillations without a large-detuning condition
• Pseudo-Rabi oscillations in superconducting flux qubits in the classical regime
• Probing internal bath dynamics by a Rabi oscillator-based detector
• Error rate reduction of single-qubit gates via noise-aware decomposition into native gates
• Non-Markovian entanglement dynamics in coupled superconducting qubit systems
• Broadband noise decoherence in solid-state complex architectures
• Nonlinear quantum Langevin equations for bosonic modes in solid-state systems
• Realistic quantum manipulation of two-level system fluctuators
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• Implementing Genuine Multi-Qubit Entanglement of Two-Level-System Inside a Superconducting Phase Qubit
• Dark Periods in Rabi Oscillations of Superconducting Phase Qubit Coupled to a Microscopic Two-Level System
• Periodic thermodynamics of a two spin Rabi model
• Quantum deficits and correlations of two superconducting charge qubits
• A Controllable Interaction between Two-Level Systems inside a Josephson Junction
• Two-photon coupling via Josephson element I: Breaking the symmetry with magnetic fields
• Two coupled qubits under the influence of a minimal, phase-sensitive environment