Quantum behaviour of a flux qubit coupled to a resonator

Abstract

We present a detailed theoretical analysis for a system of a superconducting flux qubit coupled to a transmission line resonator. The master equation, accounting incoherent processes for a weakly populated resonator, is analytically solved. An electromagnetic wave transmission coefficient through the system, which provides a tool for probing dressed states of the qubit, is derived. We also consider a general case for the resonator with more than one photon population and compare the results with an experiment on the qubit-resonator system in the intermediate coupling regime, when the coupling energy is comparable with the qubit relaxation rate.

16 pages, 6 figures

References in corpus (11)

• Superconducting Circuits and Quantum Information
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
• AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
• Nonlinear response of the vacuum Rabi resonance
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Scalable superconducting qubit circuits using dressed states
• Low-frequency measurement of the tunneling amplitude in a flux qubit
• Observation of macroscopic Landau-Zener transitions in a superconducting device
• Resonant excitations of single and two-qubit systems coupled to a tank circuit
• Low frequency Rabi spectroscopy of dissipative two level systems. The dressed state approach