Competing interactions in semiconductor quantum dots

Abstract

We introduce an integrability-based method enabling the study of semiconductor quantum dot models incorporating both the full hyperfine interaction as well as a mean-field treatment of dipole-dipole interactions in the nuclear spin bath. By performing free induction decay and spin echo simulations we characterize the combined effect of both types of interactions on the decoherence of the electron spin, for external fields ranging from low to high values. We show that for spin echo simulations the hyperfine interaction is the dominant source of decoherence at short times for low fields, and competes with the dipole-dipole interactions at longer times. On the contrary, at high fields the main source of decay is due to the dipole-dipole interactions. In the latter regime an asymmetry in the echo is observed. Furthermore, the non-decaying fraction previously observed for zero field free induction decay simulations in quantum dots with only hyperfine interactions, is destroyed for longer times by the mean-field treatment of the dipolar interactions.

10 pages, 5 figures [v2: subsection and references added]

References in corpus (15)

• 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
• 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
• Electron spin decoherence in isotope-enriched silicon
• Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
• Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
• Nonperturbative master equation solution of central spin dephasing dynamics
• Exponential decay in a spin bath
• Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay
• Dynamics and decoherence in the central spin model using exact methods
• Nuclear Spins as Quantum Memory in Semiconductor Nanostructures
• Qubit coherence control in a nuclear spin bath
• Spin echo decay at low magnetic fields in a nuclear spin bath

Cited by in corpus (1)

• An eigenvalue-based method and determinant representations for general integrable XXZ Richardson-Gaudin models