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Qutrit Dynamics of Acoustically-Driven Nitrogen-Vacancy Centers
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DOI：10.1002/qute.70312.png)
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Abstract
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We present a theoretical study of the interplay between the spin-mechanical coupling and spin-lattice relaxation in the dynamics of a nitrogen-vacancy center in diamond. Single and double-quantum spin transitions are driven by resonant acoustic pulses. In addition, the two-phonon decoherence processes are included in the Lindblad equation of the density operator along with the temperature dependence of the corresponding relaxation rates. Our numerical simulations reveal that these processes activate all spin states of the NV-center. Therefore, an idealized qubit rotation is replaced by a genuine qutrit dynamics. We then show that consecutive single- and double-quantum acoustic pulses operate as an all-acoustic qutrit-shift gate. Besides calculating the time-dependent populations of the spin states, we discuss the cumulative impact of the spin-lattice relaxation and spin dephasing on the fidelity of a sequence of qubit and qutrit operations.
Keywords:
hybrid quantum systems
nitrogen vacancy center
open quantum systems
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