Electron spin decoherence in quantum dots due to interaction with nuclei

Abstract

We study the decoherence of a single electron spin in an isolated quantum dot induced by hyperfine interaction with nuclei for times smaller than the nuclear spin relaxation time. The decay is caused by the spatial variation of the electron envelope wave function within the dot, leading to a non-uniform hyperfine coupling. We evaluate the spin correlation function with and without magnetic fields and find that the decay of the spin precession amplitude is not exponential but rather power (inverse logarithm) law-like. For fully polarized nuclei we find an exact solution and show that the precession amplitude and the decay behavior can be tuned by the magnetic field. The corresponding decay time is given by $\hslash N/A$, where $A$ is a hyperfine interaction constant and $N$ the number of nuclei inside the dot. The amplitude of precession, reached as a result of the decay, is finite. We show that there is a striking difference between the decoherence time for a single dot and the dephasing time for an ensemble of dots.

4 pages, Revtex

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• Noise-resistant quantum memory enabled by Hamiltonian engineering
• Spin Hot Spots in Single-Electron GaAs-based Quantum Dots
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
• Aspects of the decoherence in high spin environments: Breakdown of the mean-field approximation
• Dipolar broadening of nuclear spin resonance under dynamical pumping
• Incorporation of random alloy GaBi${}_x$As${}_{1-x}$ barriers in InAs quantum dot molecules: alloy strain and orbital effects towards enhanced tunneling
• Cross-correlation spin noise spectroscopy of heterogeneous interacting spin systems
• Double detected spin-dependent quantum dot
• Anomalous external-magnetic-field dependence of dephasing in a spin bath
• Concatenated continuous driving of silicon qubit by amplitude and phase modulation
• Decay rates and decoherence of an interstitial two-level spin impurity in a ferromagnetic lattice
• Spin conversion rates due to dipolar interactions in mono-isotopic quantum dots at vanishing spin-orbit coupling
• Role of hyperfine interaction for cavity-mediated coupling between spin qubits
• Spin echo without an external permanent magnetic field
• Simulating decoherence of two coupled spins using the generalized cluster correlation expansion
• Transport-induced suppression of nuclear field fluctuations in multi-quantum-dot systems
• Finding the Dynamics of an Integrable Quantum Many-Body System via Machine Learning
• On the role of the measurement apparatus in quantum measurements
• Electron g-factor determined for quantum dot circuit fabricated from (110)-oriented GaAs quantum well
• Ground-state and dynamical properties of a spin-$S$ Heisenberg star
• Dynamical nuclear spin polarization in a quantum dot with an electron spin driven by electric dipole spin resonance
• Characterizing the transition from topology to chaos in a kicked quantum system
• Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model
• Quantifying electron-nuclear spin entanglement dynamics in central-spin systems using one-tangles
• Decoherence dynamics of entangled quantum states in the $XXX$ central spin model
• Truncated Wigner approximation for the bosonic model of large spin baths
• Spin precession caused by spin-spin interaction between bounded electrons in quantum dots
• Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction
• Fully tunable hyperfine interactions of hole spin qubits in Si and Ge quantum dots
• Quantum state transfer between a frequency-encoded photonic qubit and a quantum dot spin in a nanophotonic waveguide