Interplay between geometric and dynamic phases in a single spin system

• URL: http://arxiv.org/abs/2005.05619v1
• Date: Tue, 12 May 2020 08:53:20 GMT
• Title: Interplay between geometric and dynamic phases in a single spin system
• Authors: A. A. Wood, K. Streltsov, R. M. Goldblatt, M. B. Plenio, L. C. L. Hollenberg, R. E. Scholten and A. M. Martin
• Abstract summary: We use a combination of microwave fields and free precession to drive the spin of a nitrogen-vacancy center in diamond on different trajectories on the Bloch sphere. We show that while the Aharonov-Anandan phase retains its connection to the solid angle swept out by the evolving spin, it is generally accompanied by a dynamic phase that suppresses the geometric dependence of the system dynamics.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We use a combination of microwave fields and free precession to drive the spin of a nitrogen-vacancy (NV) center in diamond on different trajectories on the Bloch sphere, and investigate the physical significance of the frame-dependent decomposition of the total phase into geometric and dynamic parts. The experiments are performed on a two-level subspace of the spin-1 ground state of the NV, where the Aharonov-Anandan geometric phase manifests itself as a global phase, and we use the third level of the NV ground state triplet to detect it. We show that while the geometric Aharonov-Anandan phase retains its connection to the solid angle swept out by the evolving spin, it is generally accompanied by a dynamic phase that suppresses the geometric dependence of the system dynamics. These results offer insights into the physical significance of frame-dependent geometric phases.

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