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arXiv:1411.2871 · New Journal of Physics

Electron–phonon processes of the silicon-vacancy centre in diamond

Kay D Jahnke, Alp Sipahigil, Jan Binder, Marcus W Doherty, Mathias Metsch, Lachlan J. Rogers, Neil B Manson, Mikhail D. Lukin, Fedor Jelezko

Published Apr 8, 2015• 288 citations
arXivHTMLPDF

Abstract

We investigate phonon induced electronic dynamics in the ground and excited states of the negatively charged silicon-vacancy ( ) centre in diamond. Optical transition line widths, transition wavelength and excited state lifetimes are measured for the temperature range 4 K–350 K. The ground state orbital relaxation rates are measured using time-resolved fluorescence techniques. A microscopic model of the thermal broadening in the excited and ground states of the centre is developed. A vibronic process involving single-phonon transitions is found to determine orbital relaxation rates for both the ground and the excited states at cryogenic temperatures. We discuss the implications of our findings for coherence of qubits in the ground states and propose methods to extend coherence times of qubits.

DOI
10.1088/1367-2630/17/4/043011

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We investigate phonon induced electronic dynamics in the ground and excited states of the negatively charged silicon-vacancy ( ) centre in diamond. Optical transition line widths, transition wavelength and excited state lifetimes are measured for the temperature range 4 K–350 K. The ground state orbital relaxation rates are measured using time-resolved fluorescence techniques. A microscopic model of the thermal broadening in the excited and ground states of the centre is developed. A vibronic process involving single-phonon transitions is found to determine orbital relaxation rates for both the ground and the excited states at cryogenic temperatures. We discuss the implications of our findings for coherence of qubits in the ground states and propose methods to extend coherence times of qubits.
The properties of the negatively charged silicon-vacancy (SiV) centre in diamond were investigated in this thesis. Polarisation measurements revealed transition dipoles and the symmetry groups of the centre. In a diamond grown by chemical vapour deposition, a high spectral overlap of SiV centres with nearly transform limited optical line widths was found pointing to a low sensitivity of SiV centres to both strain and local electric fields. This low inhomogeneous distribution allowed for a quantum interference leading to a contrast of over 70 % in a Hong-Ou-Mandel experiment. Additionally, an isotopic shift at single site level could be confirmed and than used to identify the 64meV peak in the phonon sideband as a local vibrational mode. A low temperature investigation of optical line width and orbital relaxation time indicated a direct single-phonon process between the orbital states while at higher temperatures a two-phonon dephasing was found to be the main electron-phonon process. The results were consistently described by the microscopic model developed and additional strength was added by consistent studies of spin-orbit splitting and optical lifetime. By applying a magnetic field the spin degeneracy in the ground state was lifted allowing for spin initialisation with over 95 % fidelity with a spin relaxation time of over 2 milliseconds. Two resonant lasers were used to demonstrate coherent population trapping leading to a coherence time in the order of the orbital relaxation time. The coherence was concluded to be limited by orbital dephasing processes and we propose techniques to overcome them. One of them is to use nanodiamonds with a size smaller than half the phonon wavelength to suppress the dephasing process. Investigating the spectral properties at cryogenic temperatures, nearly lifetime limited line widths have been found, making these nanodiamonds good candidates for further spin applications with SiV centres.
We report experimental studies of coherent population trapping and spin relaxation in a temperature range between 4 K and 100 mK in a silicon vacancy (SiV) center subject to a transverse magnetic field. Near and below 1 K, phonon-induced spin dephasing becomes negligible compared with that induced by the spin bath of naturally abundant 13C atoms. The temperature dependence of the spin dephasing rates agrees with the theoretical expectation that phonon-induced spin dephasing arises primarily from orbital relaxation induced by first order electron-phonon interactions. A nearly 100-fold increase in spin lifetime is observed when the temperature is lowered from 4 K to slightly below 1 K, indicating that two-phonon spin-flip transitions play an essential role in the spin relaxation of SiV ground states.
Applications of the negatively charged nitrogen-vacancy center in diamond exploit the center's unique optical and spin properties, which at ambient temperature are predominately governed by electron-phonon interactions. Here, we investigate these interactions at ambient and elevated temperatures by observing the motional narrowing of the center's excited-state spin resonances. We determine that the center's Jahn-Teller dynamics are much slower than currently believed and that they do not solely account for the broadening of the center's optical resonance above cryogenic temperatures. We show that the inclusion of interactions with symmetric phonon modes can explain the observed broadening and resolve the current inconsistencies in the literature. However, our model also reveals unexpected features of the electron-phonon processes that coincide with other poorly understood vibronic features of the center and require further investigation.
We study single silicon vacancy (SiV) centres in chemical vapour deposition (CVD) nanodiamonds on iridium as well as an ensemble of SiV centres in a high-quality, low-stress CVD diamond film by using temperature-dependent luminescence spectroscopy in the temperature range 5–295 K. We investigate in detail the temperature-dependent fine structure of the zero-phonon line (ZPL) of the SiV centres. The ZPL transition is affected by inhomogeneous as well as temperature-dependent homogeneous broadening and blue shifts by about 20 cm −1 upon cooling from room temperature to 5 K. We employ excitation power-dependent g (2) measurements to explore the temperature-dependent internal population dynamics of single SiV centres and infer mostly temperature-independent dynamics.
We report experimental studies of coherent population trapping (CPT) and spin relaxation in a temperature range 4 K--100 mK in a silicon vacancy (SiV\text{Si}VSiV) center subject to a transverse magnetic field. The spin linewidth, which is determined by spin dephasing, is extracted from power dependent CPT linewidths. Near and below 1 K, phonon-induced spin dephasing becomes negligible compared with that induced by the spin bath of naturally abundant 13C^{13}\mathrm{C}13C atoms. The temperature dependence of the spin dephasing rates agrees with the theoretical expectation that phonon-induced spin dephasing arises primarily from orbital relaxation induced by first order electron-phonon interactions. A nearly 100-fold increase in spin lifetime is observed when the temperature is lowered from 4 K to slightly below 1 K, indicating that two-phonon spin-flip transitions play an essential role in the spin relaxation of SiV\text{Si}VSiV ground states.
In the last decade atom-sized point defects in diamond, so called colour centres, have proven to be suitable systems for quantum information processing as well as quantum communication and sensing applications. Besides the wellknown nitrogen vacancy centre, the negatively charged silicon vacancy centre has recently proven to be a promising candidate due to its superior spectral properties such as narrow zero-phonon line widths and small phonon sidebands. In this feature article (article No.201700586) the authors summarize the center's electronic and optical properties as well as recent advances in controlling its quantum state using microwave as well as ultrafast all-optical control techniques which make it accessible for future quantum information processing applications. Moreover, the authors outline potential future experimental directions to improve the center's coherence time scale which so far is limited by phonon-induced decoherence. The cover picture shows an artistic representation of the silicon vacancy centre with its inversion-symmetric structure in a diamond crystal being addressed by an ultrashort laser pulse.