Characterization of the internal state of NV center in diamond and second quantization formalism

• C.I. Huerta ^[1] ; E. Urrutia-Bañuelos ^[1] ; M.R. Pedroza-Montero ^[1] ; R. Riera ^[1]
  1. [1] Universidad de Sonora

     Universidad de Sonora

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 66, Nº. 6, 2020, págs. 814-823
• Idioma: inglés
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• Resumen

  • 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 L̂, spin momentum Ŝ, total angular momentum Ĵ = L̂ + Ŝ, and spin momentum on z-direction Ŝ_(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).