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We study decoherence effects in a dc SQUID phase qubit caused by an isolationcircuit with a resonant frequency. The coupling between the SQUID phase qubitand its environment is modeled via the Caldeira-Leggett formulation of quantumdissipation/coherence, where the spectral density of the environment is relatedto the admittance of the isolation circuit. When the frequency of the qubit isat least two times larger than the resonance frequency of the isolationcircuit, we find that the decoherence time of the qubit is two orders ofmagnitude larger than the typical ohmic regime, where the frequency of thequbit is much smaller than the resonance frequency of the isolation circuit.Lastly, we show that when the qubit frequency is on resonance with theisolation circuit, an oscillatory non-Markovian decay emerges, as the dc SQUIDphase qubit and its environment self-generate Rabi oscillations ofcharacteristic time scales shorter than the decoherence time.

Environmentally-Induced Rabi Oscillations and Decoherence in Phase Qubits