Spin-1/2 geometric phase driven by decohering quantum fields

Abstract

We calculate the geometric phase of a spin-1/2 system driven by a one and two mode quantum field subject to decoherence. Using the quantum jump approach, we show that the corrections to the phase in the no-jump trajectory are different when considering an adiabatic and non-adiabatic evolution. We discuss the implications of our results from both the fundamental as well as quantum computational perspective.

4 pages

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Cited by in corpus (58)

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• Environmentally-induced effects on a bipartite two-level system: geometric phase and entanglement properties
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• Robustness against parametric noise of non ideal holonomic gates
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• Geometric phases under the presence of a composite environment
• Spin bath interactions effects on the geometric phase
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• Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates
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• Reverse engineering of one-qubit filter functions with dynamical invariants
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• Decoherence mitigation for geometric quantum computation
• Detecting non-Abelian geometric phase in circuit QED