General theory of feedback control of a nuclear spin ensemble in quantum dots

Abstract

We present a microscopic theory of the nonequilibrium nuclear spin dynamics driven by the electron and/or hole under continuous wave pumping in a quantum dot. We show the correlated dynamics of the nuclear spin ensemble and the electron and/or hole under optical excitation as a quantum feedback loop and investigate the dynamics of the many nuclear spins as a nonlinear collective motion. This gives rise to three observable effects: (i) hysteresis, (ii) locking (avoidance) of the pump absorption strength to (from) the natural resonance, and (iii) suppression (amplification) of the fluctuation of weakly polarized nuclear spins, leading to prolonged (shortened) electron spin coherence time. A single nonlinear feedback function as a "measurement" of the nuclear field operator in the quantum feedback loop is constructed which determines the different outcomes of the three effects listed above depending on the feedback being negative or positive. The general theory also helps to put in perspective the wide range of existing theories on the problem of a single electron spin in a nuclear spin bath.

20 pages, 7 figures

References in corpus (41)

• Quantum Computing
• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Nuclear spin physics in quantum dots: an optical investigation
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Hyperfine-mediated gate-driven electron spin resonance
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Hole - Nuclear Spin Interaction in Quantum Dots
• Dynamic Nuclear Polarization with Single Electron Spins
• Dynamics of Quantum Dot Nuclear Spin Polarization Controlled by a Single Electron
• Quantum computing by optical control of electron spins
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Large nuclear Overhauser fields detected in vertically-coupled double quantum dots
• Bistability of the Nuclear Polarisation created through optical pumping in InGaAs Quantum Dots
• Direct measurement of the hole-nuclear spin interaction in single quantum dots
• Nonlinear dynamics of quantum dot nuclear spins
• Dynamic nuclear spin polarization in resonant laser spectroscopy of a quantum dot
• Stabilizing effect of nuclear quadrupole interaction on the polarization of electron-nuclear spin system in a quantum dot
• Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
• Quantum Description of Nuclear Spin Cooling in a Quantum Dot
• Generating Entanglement and Squeezed States of Nuclear Spins in Quantum Dots
• Relaxation and Readout Visibility of a Singlet-Triplet Qubit in an Overhauser Field Gradient
• Hyperfine interaction dominated dynamics of nuclear spins in self-assembled quantum dots
• Electrically-Driven Reverse Overhauser Pumping of Nuclear Spins in Quantum Dots
• Nuclear Tuning and Detuning of the Electron Spin Resonance in a Quantum Dot
• Nuclear Spins as Quantum Memory in Semiconductor Nanostructures
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Hysteretic response of electron-nuclear spin system in single InAlAs quantum dots:Excitation power and polarization dependences
• Non-ideality of quantum operations with the electron spin of a 31P donor in a Si crystal due to interaction with a nuclear spin system
• Persistent narrowing of nuclear-spin fluctuations in InAs quantum dots using laser excitation
• Collective Nuclear Stabilization by Optically Excited Hole in Quantum Dot
• Precise measurements of electron and hole g-factors of single quantum dots by using nuclear field
• Decoherence of coupled electron spins via nuclear spin dynamics in quantum dots
• Nuclear spin pumping and electron spin susceptibilities

Cited by in corpus (16)

• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Quantum Interface of an Electron and a Nuclear Ensemble
• Theory of dynamic nuclear polarization and feedback in quantum dots
• Enhanced Electron Spin Coherence in a GaAs Quantum Emitter
• Nuclear magnetic resonance inverse spectra of InGaAs quantum dots: Atomistic level structural information
• Non-local nuclear spin quieting in quantum dot molecules: Optically-induced extended two-electron spin coherence time
• Narrowing of the Overhauser field distribution by feedback-enhanced dynamic nuclear polarization
• Two-laser dynamic nuclear polarization with semiconductor electrons: feedback, suppressed fluctuations, and bistability near two-photon resonance
• Strongly polarizing weakly coupled ${}^{13}$C nuclear spins with optically pumped nitrogen-vacancy center
• A many-body singlet prepared by a central spin qubit
• Driven dynamics of a quantum dot electron spin coupled to bath of higher-spin nuclei
• Coherent backaction between spins and an electronic bath: Non-Markovian dynamics and low-temperature quantum thermodynamic electron cooling
• Photon noise suppression by a built-in feedback loop
• A charge-driven feedback loop in the resonance fluorescence of a single quantum dot
• Exchange interaction-driven dynamic nuclear polarization in Mn-doped InGaAs/GaAs quantum dots
• Direct high resolution resonant Raman scattering measurements of InAs quantum dot dynamic nuclear spin polarization states