Microscopic modeling of the effect of phonons on the optical properties of solid-state emitters

Norambuena, Ariel; Reyes, Sebastian; Mejı́a-López, J.; Gali, Ádám; Maze, J. R.

doi:10.1103/physrevb.94.134305

Cited by 27 publications

(31 citation statements)

References 30 publications

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“…It is shown experimentally that different NV − center samples have an activation energy of 73 meV [8], which is close to the vibrational resonance frequency ω res = 65 meV. In our formalism, quasi-localized phonons can be phenomenologically modeled by a Lorentzian spectral density function of the form [16,35]…”

Section: Hamiltonianmentioning

confidence: 79%

Spin-lattice relaxation of individual solid-state spins

et al. 2018

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Understanding the effect of vibrations on the relaxation process of individual spins is crucial for implementing nano systems for quantum information and quantum metrology applications. In this work, we present a theoretical microscopic model to describe the spin-lattice relaxation of individual electronic spins associated to negatively charged nitrogen-vacancy centers in diamond, although our results can be extended to other spin-boson systems. Starting from a general spin-lattice interaction Hamiltonian, we provide a detailed description and solution of the quantum master equation of an electronic spin-one system coupled to a phononic bath in thermal equilibrium. Special attention is given to the dynamics of one-phonon processes below 1 K where our results agree with recent experimental findings and analytically describe the temperature and magnetic-field scaling. At higher temperatures, linear and second-order terms in the interaction Hamiltonian are considered and the temperature scaling is discussed for acoustic and quasi-localized phonons when appropriate. Our results, in addition to confirming a T 5 temperature dependence of the longitudinal relaxation rate at higher temperatures, in agreement with experimental observations, provide a theoretical background for modeling the spin-lattice relaxation at a wide range of temperatures where different temperature scalings might be expected.

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Section: Hamiltonianmentioning

confidence: 79%

Spin-lattice relaxation of individual solid-state spins

et al. 2018

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“…We note that these calculations inherently assume that the Franck-Condon principles hold for the optical transitions, i.e., the optical transition dipole moment is independent from the ionic movements. This is a valid approximation for the optical transition between the triplets of NV center in diamond but it does not necessarily holds for all types of vibrations and solid state defect quantum bits, in which the Herzberg-Teller interaction is considerable 216 . We showed above that the fluorescence of the singlets of NV center in diamond does not follow the Franck-Condon principles either, and one should use polaronic wave functions in the calculation of the optical spectrum.…”

Section: F Radiative and Non-radiative Rates: A Complete Theory On Tmentioning

confidence: 99%

Ab initio theory of the nitrogen-vacancy center in diamond

2019

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Nitrogen-vacancy center in diamond is a solid state defect qubit with favorable coherence time up to room temperature which could be harnessed in several quantum enhanced sensor and quantum communication applications, and has a potential in quantum simulation and computing. The quantum control largely depends on the intricate details about the electronic structure and states of the nitrogen-vacancy center, radiative and non-radiative rates between these states and the coupling of these states to external spins, electrical, magnetic and strain fields and temperature. In this review paper it is shown how first principles calculations contributed to understanding the properties of nitrogen-vacancy center, and will be briefly discussed the issues to be solved towards full ab initio description of solid state defect qubits.

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“…where ∆ = ω eg − ω L is the detuning from the bare transition frequency ω eg and Ω is the optical Rabi frequency. The g k = λ e,k − λ g,k [36] denote the effective electron-phonon coupling constants, which arise from the different deformation potentials, λ e,k and λ g,k , in the ground and the excited state.…”

Section: Optical Coherence For Orbital States Of Color Centersmentioning

confidence: 99%

“…( 6) we see that the dephasing rate γ(t), and thus the degree of NM, depends only on the SDF, J(ω), and the temperature T . In the case of color centers or other solid-state emitters, information about the SDF can be obtained from the photoluminescence (PL) spectrum [36,38], where the coupling to the phonons both reduces the bare resonance (zero-phonon line) and leads to additional phonon-sidebands. The experimental PL spectrum of the SiV − center exibits an isotopic shift feature in the prominent and narrow phonon sideband [38].…”

Section: Phonon Spectral Density and Dephasing Ratementioning

confidence: 99%

Quantifying phonon-induced non-Markovianity in color centers in diamond

et al. 2020

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We propose the application of a coherence-based measure for non-Markovianity to study the dynamics of color centers in diamond, where the optical coherence between two orbital states is affected by interactions with a structured phonon bath. Although limited to pure dephasing, we show that this measure is well-behaved at arbitrary temperatures and experimentally accessible through Ramsey spectroscopy. By taking realistic phonon spectral density functions into account, we use this quantity to show how non-Markovianity is affected by the presence of both bulk and quasi-localized phonon modes, as relevant for most defects in solids. Importantly, with only a minor modification the measure can be adapted to study the source of non-Markovianity in driven two-level systems and is thus applicable for a large class of systems modeled by the spin-boson Hamiltonian.

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Microscopic modeling of the effect of phonons on the optical properties of solid-state emitters

Cited by 27 publications

References 30 publications

Spin-lattice relaxation of individual solid-state spins

Spin-lattice relaxation of individual solid-state spins

Ab initio theory of the nitrogen-vacancy center in diamond

Quantifying phonon-induced non-Markovianity in color centers in diamond

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