Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement

Abstract

We theoretically study the nuclear spin dynamics driven by electron transport and hyperfine interaction in an electrically-defined double quantum dot (DQD) in the Pauli-blockade regime. We derive a master-equation-based framework and show that the coupled electron-nuclear system displays an instability towards the buildup of large nuclear spin polarization gradients in the two quantum dots. In the presence of such inhomogeneous magnetic fields, a quantum interference effect in the collective hyperfine coupling results in sizable nuclear spin entanglement between the two quantum dots in the steady state of the evolution. We investigate this effect using analytical and numerical techniques, and demonstrate its robustness under various types of imperfections.

35 pages, 19 figures. This article provides the full analysis of a scheme proposed in Phys. Rev. Lett. 111, 246802 (2013). v2: version as published

References in corpus (41)

• The Quantum Internet
• Driven coherent oscillations of a single electron spin in a quantum dot
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Coherent control of a single electron spin with electric fields
• Nonlinear atom interferometer surpasses classical precision limit
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• An On-Demand Coherent Single Electron Source
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Dissipative Phase Transition in Central Spin Systems
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Dynamic Nuclear Polarization with Single Electron Spins
• Electrical control of a solid-state flying qubit
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Large nuclear Overhauser fields detected in vertically-coupled double quantum dots
• Coherence and control of quantum registers based on electronic spin in a nuclear spin bath
• Environmentally induced Quantum Dynamical Phase Transition in the spin swapping operation
• Reservoir engineering and dynamical phase transitions in optomechanical arrays
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Exponential decay in a spin bath
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• Quantum Description of Nuclear Spin Cooling in a Quantum Dot
• Qubit protection in nuclear-spin quantum dot memories
• Electrically-Driven Reverse Overhauser Pumping of Nuclear Spins in Quantum Dots
• Stationary and transient leakage current in the Pauli spin blockade
• Phase Transitions in Dissipative Quantum Transport and Mesoscopic Nuclear Spin Pumping
• Nuclear Spins as Quantum Memory in Semiconductor Nanostructures
• Theory of dynamic nuclear polarization and feedback in quantum dots
• Superradiance-like Electron Transport through a Quantum Dot
• Dissipation-induced quantum phase transition in a quantum box
• Dark Bell states in tunnel-coupled spin qubits
• Entanglement generation via a completely mixed nuclear spin bath
• Quantum information processing using localized ensembles of nuclear spins
• Dissipative quantum phase transition in a quantum dot

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• Negative-Temperature State Relaxation and Reservoir-Assisted Quantum Entanglement in Double Spin Domain Systems
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• Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays
• The impact of nuclear spin dynamics on electron transport through donors
• Increased coherence time in narrowed bath states in quantum dots
• Measurement-induced nuclear spin polarization
• Spin flip locking by the tunneling and relaxation in a driven double quantum dot with spin-orbit coupling
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