Corrections to the Berry phase in a solid-state qubit due to low-frequency noise

Abstract

We present a quantum open-system approach to analyze the nonunitary dynamics of a superconducting qubit when it evolves under the influence of external noise. We consider the presence of longitudinal and transverse environmental fluctuations affecting the system's dynamics and model these fluctuations by defining their correlation function in time. By using a Gaussian-like noise correlation, we can study low- and high-frequency noise contribution to decoherence and implement our results in the computation of geometric phases in open quantum systems. We numerically study when the accumulated phase of a solid-state qubit can still be found close to the unitary (Berry) one. Our results can be used to explain experimental measurements of the Berry phase under high-frequency fluctuations and design experimental future setups when manipulating superconducting qubits.

9 pages, 7 figures

References in corpus (4)

• Observation of Berry's Phase in a Solid State Qubit
• Geometric phases in open systems: an exact model to study how they are corrected by decoherence
• Geometric phase with nonunitary evolution in presence of a quantum critical bath
• Spin bath interactions effects on the geometric phase

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• Geometric Phase of a Transmon in a Dissipative Quantum Circuit