Persisting correlations of a central spin coupled to large spin baths

Abstract

The decohering environment of a quantum bit is often described by the coupling to a large bath of spins. The quantum bit itself can be seen as a spin $S=1/2$ which is commonly called the central spin. The resulting central spin model describes an important mechanism of decoherence. We provide mathematically rigorous bounds for a persisting magnetization of the central spin in this model with and without magnetic field. In particular, we show that there is a well defined limit of infinite number of bath spins. Only if the fraction of very weakly coupled bath spins tends to 100\% does no magnetization persist.

arXiv comment19 pages, 15 figures, rigorous bounds for the central spin model

References in corpus (37)

• Spins in few-electron quantum dots
• Electron spin relaxation by nuclei in semiconductor quantum dots
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Charge noise and spin noise in a semiconductor quantum device
• Nuclear spin physics in quantum dots: an optical investigation
• Electron spin evolution induced by interaction with nuclei in a quantum dot
• Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• An efficient scheme for numerical simulations of the spin-bath decoherence
• Quantum theory of spectral diffusion induced electron spin decoherence
• Exact dynamics in the inhomogeneous central-spin model
• Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
• Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot
• Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
• Numerical modeling of the central spin problem using the spin coherent states P-representation
• Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
• Nonperturbative master equation solution of central spin dephasing dynamics
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Intrinsic spin fluctuations reveal the dynamical response function of holes coupled to nuclear spin baths in (In,Ga)As quantum dots
• Evolution of a localized electron spin in a nuclear spin environment
• Effect of annealing on the hyperfine interaction in InAs/GaAs quantum dots
• Correlated projection operator approach to non-Markovian dynamics in spin baths
• Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
• Optical Spin Noise of a Single Hole Spin Localized in an (InGa)As Quantum Dot
• Free-induction decay and envelope modulations in a narrowed nuclear spin bath
• Spin decoherence due to a randomly fluctuating spin bath
• Dynamics and decoherence in the central spin model using exact methods
• Dynamics and decoherence in the central spin model in the low-field limit
• Spin-noise in the anisotropic central spin model
• From quantum-mechanical to classical dynamics in the central-spin model
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Conservation laws protect dynamic spin correlations from decay: Limited role of integrability in the central spin model
• Effect of electron-nuclear spin interactions on electron-spin qubits localized in self-assembled quantum dots
• Equilibration in closed quantum systems: Application to spin qubits

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• Efficient algorithms for the dynamics of large and infinite classical central spin models
• Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Quantum mechanical treatment of large spin baths
• Steady-states of out-of-equlibrium inhomogeneous Richardson-Gaudin quantum integrable models in quantum optics
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• Influence of quadrupolar interaction on NMR spectroscopy
• Truncated Wigner approximation for the bosonic model of large spin baths