2014/02/04 by Mark Kowarsky, Mark A. Kowarsky, Lloyd C. L. Hollenberg +3
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Abelian group #Advanced Fiber Laser Technologies #Condensed matter physics #Degenerate energy levels #Diamond #Diamond and Carbon-based Materials Research #Geometric phase #High-pressure geophysics and materials #Materials science #Mathematics #Nitrogen-vacancy center #Phase (matter) #Phase transition #Physics #Pure mathematics #Quantum mechanics #Vacancy defect #quant-ph
paper · pdf · doi:10.1103/physreva.90.042116
published as Phys. Rev. A 90, 042116 (2014) · 5 pages, including 4 figures
arxiv created 2014/02/04 · openalex publication_date 2014/10/22 · arxiv updated 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper introduces a theoretical framework for understanding the accumulation of non-Abelian geometric phases in rotating nitrogen-vacancy centers in diamond. Specifically, we consider how degenerate states can be achieved and demonstrate that the resulting geometric phase for multiple paths is non-Abelian. We find that the non-Abelian nature of the phase is robust to fluctuations in the path and magnetic field. In contrast to previous studies of the accumulation of Abelian geometric phases for nitrogen-vacancy centers under rotation we find that the limiting time scale is T1. As such a non-Abelian geometric phase accumulation in nitrogen-vacancy centers has potential advantages for applications as gyroscopes.