Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots

Abstract

Using the Algebraic Bethe Ansatz in conjunction with a simple Monte Carlo sampling technique, we study the problem of the decoherence of a central spin coupled to a nuclear spin bath. We describe in detail the full crossover from strong to weak external magnetic field field, a limit where a large non-decaying coherence factor is found. This feature is explained by Bose-Einstein-condensate-like physics which also allows us to argue that the corresponding zero frequency peak would not be broadened by statistical or ensemble averaging.

5 pages, 4 figures, published version

References in corpus (14)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Spin-echo of a single electron spin in a quantum dot
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Exact dynamics in the inhomogeneous central-spin model
• Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
• Nonperturbative master equation solution of central spin dephasing dynamics
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Exponential decay in a spin bath
• Dynamics and decoherence in the central spin model using exact methods
• On the determinant representations of Gaudin models' scalar products and form factors
• Spin echo decay at low magnetic fields in a nuclear spin bath

Cited by in corpus (14)

• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• From quantum-mechanical to classical dynamics in the central-spin model
• On the determinant representations of Gaudin models' scalar products and form factors
• Quantum quench in the attractive regime of the sine-Gordon model
• Multistate Landau-Zener models with all levels crossing at one point
• Algebraic Bethe Ansätze and eigenvalue-based determinants for Dicke-Jaynes-Cummings-Gaudin quantum integrable models
• Spin noise of localized electrons interacting with optically cooled nuclei
• Competing interactions in semiconductor quantum dots
• Spin noise in a quantum dot ensemble: from a quantum mechanical to a semi-classical description
• Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach
• High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot
• Theory of box-model hyperfine couplings and transport signatures of long-range nuclear-spin coherence in a quantum-dot spin valve
• A variational method for integrability-breaking Richardson-Gaudin models
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes