Electron-nuclear dynamics in a quantum dot under non-unitary electron control

Abstract

We introduce a method for solving the problem of an externally controlled electron spin in a quantum dot interacting with host nuclei via the hyperfine interaction. Our method accounts for generalized (non-unitary) evolution effected by external controls and the environment, such as coherent lasers combined with spontaneous emission. As a concrete example we develop the microscopic theory of the dynamics of nuclear-induced frequency focusing, as first measured in Science 317, 1896 (2007); we find that the nuclear relaxation rates are several orders of magnitude faster than those quoted in that work.

To appear in Phys. Rev. Lett

References in corpus (18)

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• Pulsed Nuclear Pumping and Spin Diffusion in a Single Charged Quantum Dot
• Control of the direction and rate of nuclear spin flips in InAs quantum dots using detuned optical pulse trains
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Cited by in corpus (32)

• Nuclear spin physics in quantum dots: an optical investigation
• Nonperturbative master equation solution of central spin dephasing dynamics
• Depolarization of Electronic Spin Qubits Confined in Semiconductor Quantum Dots
• Theory of dynamic nuclear polarization and feedback in quantum dots
• Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
• Strong Hyperfine-Induced Modulation of an Optically-Driven Hole Spin in an InAs Quantum Dot
• General theory of feedback control of a nuclear spin ensemble in quantum dots
• Quantum model for mode locking in pulsed semiconductor quantum dots
• Influence of the nuclear Zeeman effect on mode locking in pulsed semiconductor quantum dots
• Persisting correlations of a central spin coupled to large spin baths
• Spin noise of localized electrons interacting with optically cooled nuclei
• Nuclear frequency focusing in periodically pulsed semiconductor quantum dots described by infinite classical central spin models
• The theory of coherent dynamic nuclear polarization in quantum dots
• Interplay of valley polarization and dynamic nuclear polarization in 2D transition metal dichalcogenides
• 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
• The coherence of quantum dot confined electron- and hole-spin in low external magnetic field
• Two-laser dynamic nuclear polarization with semiconductor electrons: feedback, suppressed fluctuations, and bistability near two-photon resonance
• Dynamic Nuclear Polarization from Topological Insulator Helical Edge States
• Stabilisation of an optical transition energy via nuclear Zeno dynamics in quantum dot-cavity 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 spin polarization in a single quantum dot pumped by two laser beams
• Electron Spin Noise under the Conditions of Nuclei Induced Frequency Focusing
• Inhomogeneous dynamic nuclear polarization and suppression of electron-polarization decay in a quantum dot
• Real-time monitoring of Lévy flights in a single quantum system
• Resonant spin amplification in Faraday geometry
• Measurements of a fast nuclear spin dynamics in a single InAs quantum dot with positively charged exciton
• Demonstration of Open Quantum System Optimal Control in Dynamic Nuclear Polarization
• Spin-photon Qubits for Scalable Quantum Network