Spin-lattice relaxation of individual solid-state spins

Abstract

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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• Temperature-dependent spin-lattice relaxation of the nitrogen-vacancy spin triplet in diamond
• Propagating Quantum Microwaves: Towards Applications in Communication and Sensing
• Longitudinal spin relaxation model applied to point defect qubit systems
• Cavity Quantum Electrodynamics Effects with Nitrogen Vacancy Center Spins in Diamond and Microwave Resonators at Room Temperature
• Temperature dependence of divacancy spin coherence in implanted silicon carbide
• Temperature-dependence of T1 spin relaxation of single NV centers in nanodiamonds
• State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers
• Coherence as a measure for non-Markovianity and its applications to color centers in diamond
• Performance of quantum registers in diamond in the presence of spin impurities
• Effect of phonons on the electron spin resonance absorption spectrum
• Sensing electrochemical signals using a nitrogen-vacancy center in diamond
• Qubit guidelines for solid-state spin defects
• Spin-lattice relaxation with non-linear couplings: Comparison between Fermi's golden rule and extended dissipaton equation of motion
• Engineering non-Markovianity from defect-phonon interactions
• Estimating the degree of non-Markovianity using variational quantum circuits
• Non-Markovian trajectories involving future in the semi-classical path integral expression
• Nuclear Spin-Mediated Relaxation Mechanisms of the V${}_B^{-}$ Center in hBN
• Probing the fluctuating magnetic field of Fe-triazole spin-crossover thin-layers with nitrogen-vacancy centers in diamond
• Dominant vibronic relaxation channels in a europium-based molecular qubit
• Spin-Phonon Relaxation of Boron-Vacancy Centers in Two-Dimensional Boron Nitride Polytypes
• Quantum-impurity sensing of altermagnetic order