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Photonics for Quantum (PfQ)

Hyperfine spectroscopy and fast all-optical arbitrary nuclear state preparation of a single 73Ge vacancy in diamond

Chris Adambukulam, Brett C. Johnson, Andrea Morello, Arne Laucht

Published Jul 19, 2023• 0 citations
Publisher

Abstract

We perform coherent population trapping (CPT) experiments to measure the hyperfine coupling of a single 73GeV to be A∼37 MHz. Furthermore, we identify a rapid nuclear spin diffusion process that occurs when performing CPT and leverage it to realise all-optical, arbitrary nuclear state preparation at timescales approaching ∼1 μs. This is a fundamental step in gaining access to the otherwise difficult to address nuclear spin qudit and paves the way for future research regarding the 73GeV.

DOI
10.1117/12.2675865

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We perform coherent population trapping (CPT) experiments to measure the hyperfine coupling of a single 73GeV to be A∼37 MHz. Furthermore, we identify a rapid nuclear spin diffusion process that occurs when performing CPT and leverage it to realise all-optical, arbitrary nuclear state preparation at timescales approaching ∼1 μs. This is a fundamental step in gaining access to the otherwise difficult to address nuclear spin qudit and paves the way for future research regarding the 73GeV.
A high-spin nucleus coupled to a color center can act as a long-lived memory qudit in a spin-photon interface. The germanium vacancy (GeV) in diamond has attracted recent attention due to its excellent spectral properties and provides access to the ten-dimensional Hilbert space of the I=9/2 ^{73}Ge nucleus. Here, we observe the ^{73}GeV hyperfine structure, perform nuclear spin readout, and optically initialize the ^{73}Ge spin into any eigenstate on a μs timescale and with a fidelity of up to ∼84%. Our results establish ^{73}GeV as an optically addressable high-spin quantum platform for a high-efficiency spin-photon interface as well as for foundational quantum physics and metrology.
Abstract We employ the electronic spin of a single nitrogen-vacancy (NV) defect in diamond to detect and control the quantum state of remote nuclear spins coupled by hyperfine interaction. More precisely, our work focuses on individual 13C^{13}\text {C}13C 13 C nuclei featuring a moderate hyperfine coupling strength ( ∼1\sim 1∼1 ∼ 1 MHz) with the NV’s electron spin. Two different methods providing an efficient room-temperature polarization of these peculiar 13C^{13}\text {C}13C 13 C nuclear spins are described. The first one is based on a polarization transfer from the NV electron spin to the 13C^{13}\text {C}13C 13 C nucleus, which is mediated by the anisotropic component of the hyperfine interaction. The second one relies on coherent population trapping (CPT) within a Λ\Lambda Λ Λ -type energy-level configuration in the microwave domain, which enables to initialize the 13C^{13}\text {C}13C 13 C nuclear spin in any quantum state superposition on the Bloch sphere. This CPT protocol is performed in an unusual regime for which relaxation from the excited level of the Λ\Lambda Λ Λ -scheme is externally triggered by optical pumping and separated in time from coherent microwave excitations. For these two polarization techniques, we investigate the impact of optical illumination on the nuclear spin polarization efficiency. This work adds new methods to the quantum toolbox used for coherent control of individual nuclear spins in diamond, which might find applications in quantum metrology. Graphical Abstract
The silicon-vacancy (SiV-) color center in diamond has attracted attention because of its unique optical properties. It exhibits spectral stability and indistinguishability that facilitate efficient generation of photons capable of demonstrating quantum interference. Here we show optical initialization and readout of electronic spin in a single SiV- center with a spin relaxation time of T1=2.4±0.2 ms. Coherent population trapping (CPT) is used to demonstrate coherent preparation of dark superposition states with a spin coherence time of T2⋆=35±3 ns. This is fundamentally limited by orbital relaxation, and an understanding of this process opens the way to extend coherence by engineering interactions with phonons. Hyperfine structure is observed in CPT measurements with the 29Si isotope which allows access to nuclear spin. These results establish the SiV- center as a solid-state spin-photon interface.
Coherent population trapping (CPT) provides a highly sensitive means for probing the energy-level structure of an atomic system. For a nitrogen-vacancy center in diamond, the CPT offers an alternative to the standard optically detected magnetic resonance method for measuring the hyperfine structure of the electronic ground states. We show that the nuclear-spin-dependent CPT measures directly the hyperfine splitting of these states due to the 14{}^{14}14N nuclear spin. The CPT spectral response obtained in the presence of a strong microwave field, resonant or nearly resonant with a ground-state spin transition, maps out the dynamic Stark splitting induced by the coherent spin excitation.
We demonstrate coherent population trapping of a single nuclear spin in a room-temperature solid. To this end, we exploit a three-level system with a Λ configuration in the microwave domain, which consists of nuclear spin states addressed through their hyperfine coupling to the electron spin of a single nitrogen-vacancy defect in diamond. Moreover, the Λ-scheme relaxation is externally controlled through incoherent optical pumping and separated in time from consecutive coherent microwave excitations. Such a scheme allows us (i) to monitor the sequential accumulation of population into the dark state and (ii) to reach a novel regime of coherent population trapping dynamics for which periodic arrays of dark resonances can be observed, owing to multiple constructive interferences. This Letter offers new prospects for quantum state preparation, information storage in hybrid quantum systems, and metrology.
Isolated nuclear spins provide a promising building block for quantum information science, motivating development of techniques to characterize, control, and detect them in suitable systems. Working with the nitrogen-vacancy center in diamond, we demonstrate robust initialization, manipulation, and readout of individual 13C^{13}\text{C}13C, 15N^{15}\text{N}15N, and 14N^{14}\text{N}14N nuclear spins and identify a mechanism to extend our results to arbitrary magnetic field environments. These techniques enable precise characterization of nuclear-spin hyperfine parameters and coherence properties and may pave the way for nuclear-spin-based quantum information architectures in diamond.