Abstract

HUERTA, C. I.; URRUTIA-BANUELOS, E.; PEDROZA-MONTERO, M. R.  and  RIERA, R.. Characterization of the internal state of nitrogen-vacancy centerin diamond and second quantization formalism. Rev. mex. fis. [online]. 2020, vol.66, n.6, pp.814-823.  Epub Jan 31, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.814.

In this paper a general study of nitrogen-vacancy center internal state in diamond is presented. This study is based on experimental and theoretical findings found in literature. First, a Hamiltonian model for center nitrogen-vacancy internal state is proposed in terms of a complete set of commuting observables (CSCO), which consist of angular momentum $\hat{L}$, spin momentum $\hat{S}$, total angular momentum $\hat{J}=\hat{L}+\hat{S}$, and spin momentum on z-direction ${\hat{S}}_z$. The second quantization formalism -in steady-state (conservative model)- is used. The creation and annihilation operators are used to described the steady spin-levels structure and in dynamic-state (non-conservative model) and can also describe the system dynamic between different spin-levels transitions. Finally, a discussion is presented about the application of this study in the photochromism phenomenon and solid-state quantum bit (qubit).

Keywords : NV Center; defect; photochromism; qubit.

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