Truncated Wigner approximation for the bosonic model of large spin baths

Abstract

The central spin model has a wide applicability, it is ideally suited to describe a small quantum system, for instance a quantum bit, in contact to a bath of spins, e.g., nuclear spins, or other small quantum systems in general. According to previous work~[Röhrig \textit{et al.}, Phys. Rev. B {\bf 97}, 165431 (2018)], a large bath of quantum spins can be described as a bath of quantum harmonic oscillators. But the resulting quantum model is still far from being straightforward solvable. Hence we consider a chain representation for the bosonic degrees of freedom to study how well a truncated Wigner approximation of the effective model of harmonic oscillators works in comparison with other approximate and exact methods. Numerically, we examine the effect of the number of bath spins and of the truncation level, i.e., the chain length.

10 pages, 7 figures

References in corpus (20)

• Coherent control of a single electron spin with electric fields
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Nuclear spin physics in quantum dots: an optical investigation
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Spin-echo of a single electron spin in a quantum dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Quantum Interface of an Electron and a Nuclear Ensemble
• Nuclear Spins in Nanostructures
• Quantum computing by optical control of electron spins
• 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
• Spin noise in quantum dot ensembles
• Spin- and entanglement-dynamics in the central spin model with homogeneous couplings
• From quantum-mechanical to classical dynamics in the central-spin model
• Theory of optically detected spin noise in nanosystems
• Nuclear magnetic resonance inverse spectra of InGaAs quantum dots: Atomistic level structural information
• Exactly solvable spin dynamics of an electron coupled to large number of nuclei and the electron-nuclear spin echo in a quantum dot