Dynamics and decoherence in the central spin model in the low-field limit

Abstract

We present a combination of analytic calculations and a powerful numerical method for large spin baths in the low-field limit. The hyperfine interaction between the central spin and the bath is fully captured by the density matrix renormalization group. The adoption of the density matrix renormalization group for the central spin model is presented and a proper method for calculating the real-time evolution at infinite temperature is identified. In addition, we study to which extent a semiclassical model, where a quantum spin-1/2 interacts with a bath of classical Gaussian fluctuations, can capture the physics of the central spin model. The model is treated by average Hamiltonian theory and by numerical simulation.

14 pages, 9 figures; revised version

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Cited by in corpus (41)

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• Influcence of the nuclear electric quadrupolar interaction on the coherence time of hole- and electron-spins confined in semiconductor quantum dots
• From quantum-mechanical to classical dynamics in the central-spin model
• Quantum model for mode locking in pulsed semiconductor quantum dots
• Non-equilibrium nuclear spin distribution function in quantum dots subject to periodic pulses
• Conservation laws protect dynamic spin correlations from decay: Limited role of integrability in the central spin model
• Rabi oscillations, decoherence, and disentanglement in a qubit-spin-bath system: exact dynamics
• Simple and accurate method for central spin problems
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Persisting correlations of a central spin coupled to large spin baths
• Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles
• Optimal energy storage and collective charging speedup in the central-spin quantum battery
• Spin noise in a quantum dot ensemble: from a quantum mechanical to a semi-classical description
• Competing interactions in semiconductor quantum dots
• Decoherence of a single spin coupled to an interacting spin bath
• Nuclear frequency focusing in periodically pulsed semiconductor quantum dots described by infinite classical central spin models
• Efficient algorithms for the dynamics of large and infinite classical central spin models
• Dynamic mean-field theory for dense spin systems at infinite temperature
• Measurement of back-action from electron spins in a gate defined GaAs double quantum dot coupled to a mesoscopic nuclear spin bath
• Long-time coherence in fourth-order spin correlation functions
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• Decoherence of a singlet-triplet superposition state under dipolar interactions of an uncorrelated environment
• Quantum mechanical treatment of large spin baths
• Cross-correlation spectra in interacting quantum dot systems
• Understanding the dynamics of randomly positioned dipolar spin ensembles
• Increased coherence time in narrowed bath states in quantum dots
• Maximizing the purity of a qubit evolving in an anisotropic environment
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Driven dynamics of a quantum dot electron spin coupled to bath of higher-spin nuclei
• Loschmidt echo driven by hyperfine and electric-quadrupole interactions in nanoscale nuclear spin baths
• Quantum dynamics of Gaudin magnets
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
• Anomalous behavior of control pulses in presence of noise with singular autocorrelation
• Finding the Dynamics of an Integrable Quantum Many-Body System via Machine Learning
• Truncated Wigner approximation for the bosonic model of large spin baths
• Periodic cavity state revivals from atomic frequency combs
• Influence of quadrupolar interaction on NMR spectroscopy