Quantum model for mode locking in pulsed semiconductor quantum dots

Abstract

Quantum dots in GaAs/InGaAs structures have been proposed as a candidate system for realizing quantum computing. The short coherence time of the electronic quantum state that arises from coupling to the nuclei of the substrate is dramatically increased if the system is subjected to a magnetic field and to repeated optical pulsing. This enhancement is due to mode locking: Oscillation frequencies resonant with the pulsing frequencies are enhanced, while off-resonant oscillations eventually die out. Because the resonant frequencies are determined by the pulsing frequency only, the system becomes immune to frequency shifts caused by the nuclear coupling and by slight variations between individual quantum dots. The effects remain even after the optical pulsing is terminated. In this work, we explore the phenomenon of mode locking from a quantum mechanical perspective. We treat the dynamics using the central spin model, which includes coupling to 10-20 nuclei and incoherent decay of the excited electronic state, in a perturbative framework. Using scaling arguments, we extrapolate our results to realistic system parameters. We find that the synchronization to the pulsing frequency needs time scales in the order of 1 s.

20.1 pages, including appendices; 7 figures; with Erratum and corrected Figs. 2 and 3

References in corpus (18)

• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Prospects for Spin-Based Quantum Computing
• Nuclear spin physics in quantum dots: an optical investigation
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Stimulated and spontaneous optical generation of electron spin coherence in charged GaAs quantum dots
• Optical control of spin coherence in singly charged (In,Ga)As/GaAs quantum dots
• Optical Read-Out and Initialization of an Electron Spin in a Single Quantum Dot
• Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
• Pump-Probe Faraday Rotation and Ellipticity in an Ensemble of Singly Charged 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
• Large anisotropy of electron and hole g factors in infrared-emitting InAs/InAlGaAs self-assembled quantum dots
• From quantum-mechanical to classical dynamics in the central-spin model
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Persisting correlations of a central spin coupled to large spin baths
• Competing interactions in semiconductor quantum dots
• Hyperfine coupling of hole and nuclear spins in symmetric GaAs quantum dots
• Increased coherence time in narrowed bath states in quantum dots

Cited by in corpus (21)

• Non-equilibrium nuclear spin distribution function in quantum dots subject to periodic pulses
• Magnetic field dependence of the electron spin revival amplitude in periodically pulsed quantum dots
• Influence of the nuclear Zeeman effect on mode locking in pulsed semiconductor quantum dots
• 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
• Decay and revival of electron spin polarization in an ensemble of (In,Ga)As quantum dots
• Spin inertia and polarization recovery in quantum dots: Role of pumping strength and resonant spin amplification
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Quantum mechanical treatment of large spin baths
• Quantum Coherence from Periodic Driving with Laser Pulses and Decay
• Cross-correlation spectra in interacting quantum dot systems
• Driven dynamics of a quantum dot electron spin coupled to bath of higher-spin nuclei
• A solvable quantum model of dynamic nuclear polarization in quantum dots
• Signatures of long-range spin-spin interactions in an (In,Ga)As quantum dot ensemble
• Nuclear magnetic resonance spectroscopy of nonequilibrium steady states in quantum dots
• Electron Spin Noise under the Conditions of Nuclei Induced Frequency Focusing
• Resonant spin amplification in Faraday geometry
• Optical Pumping of Bardeen-Cooper-Schrieffer Superconductors
• Quantifying electron-nuclear spin entanglement dynamics in central-spin systems using one-tangles
• Influence of quadrupolar interaction on NMR spectroscopy
• Truncated Wigner approximation for the bosonic model of large spin baths