Nuclear Spins in Nanostructures

Abstract

We review recent theoretical and experimental advances toward understanding the effects of nuclear spins in confined nanostructures. These systems, which include quantum dots, defect centers, and molecular magnets, are particularly interesting for their importance in quantum information processing devices, which aim to coherently manipulate single electron spins with high precision. On one hand, interactions between confined electron spins and a nuclear-spin environment provide a decoherence source for the electron, and on the other, a strong effective magnetic field that can be used to execute local coherent rotations. A great deal of effort has been directed toward understanding the details of the relevant decoherence processes and to find new methods to manipulate the coupled electron-nuclear system. A sequence of spectacular new results have provided understanding of spin-bath decoherence, nuclear spin diffusion, and preparation of the nuclear state through dynamic polarization and more general manipulation of the nuclear-spin density matrix through "state narrowing". These results demonstrate the richness of this physical system and promise many new mysteries for the future.

12 pages, 6 figures, submitted as an invited feature article in Physica Status Solidi (b); v2: added references, corrected In hf coupling in Table 1, final version to appear in pss (b)

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• Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
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• Dynamic nuclear polarization induced by breakdown of fractional quantum Hall effect
• Resistively Detected NMR in Quantum Hall States: Investigation of the anomalous lineshape near $\nu =1$

Cited by in corpus (102)

• Spin dynamics in semiconductors
• Opto-mechanical transducers for long-distance quantum communication
• Charge noise and spin noise in a semiconductor quantum device
• Prospects for Spin-Based Quantum Computing
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond
• Three-electron spin qubits
• Recent advances in hole-spin qubits
• Free-induction decay and envelope modulations in a narrowed nuclear spin bath
• Quadrupolar spectra of nuclear spins in strained InGaAs quantum dots
• Dynamic Nuclear Polarization in Double Quantum Dots
• Dephasing of electron spin qubits due to their interaction with nuclei in quantum dots
• Characterization and measurement of qubit-environment entanglement generation during pure dephasing
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Quantum Computing with Acceptor Spins in Silicon
• Master equation approach to the central spin decoherence problem: the uniform coupling model and the role of projection operators
• Witnessing quantum correlations in a nuclear ensemble via an electron spin qubit
• Relaxation to Negative Temperatures in Double Domain Systems
• Controlling the Interaction of Electron and Nuclear Spins in a Tunnel-Coupled Quantum Dot
• Coherent control of indirect excitonic qubits in optically driven quantum dot molecules
• Spin echo decay at low magnetic fields in a nuclear spin bath
• Electron and nuclear spin properties of the nanohole-filled GaAs/AlGaAs quantum dots
• Spintronics with graphene quantum dots
• Magnetic field dependence of the electron spin revival amplitude in periodically pulsed quantum dots
• Sensitivity of the decay of entanglement of quantum dot spin qubits to the magnetic field
• Influence of nuclear spin polarization on spin echo signal of NV center qubit
• Dynamic nuclear polarization in InGaAs/GaAs and GaAs/AlGaAs quantum dots under non-resonant ultra-low power optical excitation
• Effect of strain on hyperfine-induced hole-spin decoherence in quantum dots
• Ultra long spin decoherence times in graphene quantum dots with a small number of nuclear spins
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Hyperfine Structure of Transition Metal Defects in SiC
• Spectrum and Screening cloud in the central spin model
• Spin decoherence in graphene quantum dots due to hyperfine interaction
• Hyperfine interaction for holes in quantum dots: k.p model
• Nuclear spin dynamics, noise, squeezing and entanglement in box model
• Exchange interaction of hole-spin qubits in double quantum dots in highly anisotropic semiconductors
• Different types of integrability and their relation to decoherence in central spin models
• Nuclear frequency focusing in periodically pulsed semiconductor quantum dots described by infinite classical central spin models
• All electrically controlled quantum gates for single heavy hole spin qubits
• Hyperfine induced spin and entanglement dynamics in Double Quantum Dots: A homogeneous coupling approach
• Non-equilibrium fractional quantum Hall states visualized by optically detected MRI
• Spin and Orbital Spectroscopy in the Absence of Coulomb Blockade in Lead Telluride Nanowire Quantum Dots
• Spin Structure and Resonant Driving of Spin-1/2 Defects in SiC
• Limit-Cycles and Chaos in the Current Through a Quantum Dot
• Electrical operation of hole spin qubits in planar MOS silicon quantum dots
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• Equilibration in closed quantum systems: Application to spin qubits
• Controlling the nuclear polarization in quantum dots using optical pulses with a modest bandwidth
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Asymmetric optical nuclear spin pumping in a single uncharged quantum dot
• Quantum mechanical treatment of large spin baths
• Slow Exciton Spin Relaxation in Single Self-Assembled In${}_{1-x}$Ga${}_x$As/GaAs Quantum Dots
• Balancing coherent and dissipative dynamics in a central-spin system
• Quantum limit for nuclear spin polarization in semiconductor quantum dots
• Hole-Spin-Echo Envelope Modulations
• Coherence of an extended central spin model with a coupled spin bath
• Decoherence of intermolecular entanglement in exchange-coupled nanomagnets
• Anisotropy with respect to the applied magnetic field of spin qubit decoherence times
• Characterization of a quasi-static environment with a qubit
• Maximizing the purity of a qubit evolving in an anisotropic environment
• Cumulative generation of maximal entanglement between spectrally distinct qubits using squeezed light
• Appearance of objectivity for NV centers interacting with dynamically polarized nuclear environment
• Cross-correlation spectra in interacting quantum dot systems
• Finite-temperature decoherence of spin states in a $\text{{}{\text{Cu}}_3\text{}}$ single molecular magnet
• Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
• Para-ortho transition of artificial H${}_2$ molecule in lateral quantum dots doped with magnetic impurities
• Transport through single-level systems: Spin dynamics in the nonadiabatic regime
• Signatures of long-range spin-spin interactions in an (In,Ga)As quantum dot ensemble
• Hyperfine induced electron spin and entanglement dynamics in double quantum dots: The case of separate baths
• Spin-orbit coupled particle in a spin bath
• Optically erasing disorder in semiconductor microcavities with dynamic nuclear polarization
• Orbital hyperfine interaction and qubit dephasing in carbon nanotube quantum dots
• Landau level spin diode in a GaAs two dimensional hole system
• Quantum non-demolition measurement of an electron spin qubit through its low-energy many-body spin environment
• Tuning the nuclei-induced spin relaxation of localized electrons by the quantum Zeno and anti-Zeno effects
• Wavelet-resolved coherence beats in the Overhauser field of a thermal nuclear spin ensemble
• Nuclear magnetic resonance spectroscopy of nonequilibrium steady states in quantum dots
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• Loschmidt echo driven by hyperfine and electric-quadrupole interactions in nanoscale nuclear spin baths
• Spin dynamics of quadrupole nuclei in InGaAs quantum dots
• Dicke Model for Quantum Hall Systems
• Resistive detection of nuclear spins in a single quantum dot under Kondo effect regime
• Perturbative regimes in central spin models
• Swapping and entangling hyperfine coupled nuclear spin baths
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