Quantum theory of spectral diffusion induced electron spin decoherence

Abstract

A quantum cluster expansion method is developed for the problem of localized electron spin decoherence due to dipolar fluctuations of lattice nuclear spins. At the lowest order it provides a microscopic explanation for the Lorentzian diffusion of Hahn echoes without resorting to any phenomenological Markovian assumption. Our numerical results show remarkable agreement with recent electron spin echo experiments in phosphorus doped silicon.

5 pages, 1 figure

References in corpus (8)

• Single-shot read-out of an individual electron spin in a quantum dot
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Electron Spin-Relaxation Times of Phosphorus Donors in Silicon
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
• Electron spin phase relaxation of phosphorus donors in nuclear spin enriched silicon
• Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay
• 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

Cited by in corpus (114)

• Spins in few-electron quantum dots
• Silicon Quantum Electronics
• Realizing a lattice spin model with polar molecules
• Semiconductor Spintronics
• Electron spin coherence exceeding seconds in high purity silicon
• Spin dynamics in semiconductors
• Relaxation, dephasing, and quantum control of electron spins in double quantum dots
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
• Quantum decoherence dynamics of divacancy spins in silicon carbide
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Nuclear spin pair coherence in diamond for atomic scale magnetometry
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Electron spin decoherence in isotope-enriched silicon
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Nuclear Spins in Nanostructures
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond
• Multiple-pulse coherence enhancement of solid state spin qubits
• Quantum computing by optical control of electron spins
• Dangling-bond spin relaxation and magnetic 1/f noise from the amorphous-semiconductor/oxide interface: Theory
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot
• Hyperfine interactions in silicon quantum dots
• Coherence and control of quantum registers based on electronic spin in a nuclear spin bath
• Electron spin coherence and electron nuclear double resonance of Bi donors in natural Si
• Electron Spin Decoherence in Silicon Carbide Nuclear Spin Bath
• Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Line Broadening and Decoherence of Electron Spins in Phosphorus-Doped Silicon Due to Environmental 29^Si Nuclear Spins
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Architecture for high-sensitivity single-shot readout and control of the electron spin of individual donors in silicon
• Spin decoherence and electron spin bath noise of a nitrogen-vacancy center in diamond
• Quantum control of donor electrons at the Si-SiO2 interface
• Observation of anomalous decoherence effect in a quantum bath at room temperature
• Anomalous decoherence effect in a quantum bath
• Hyperfine interaction induced decoherence of electron spins in quantum dots
• Electron spin as a spectrometer of nuclear spin noise and other fluctuations
• Ambient Nanoscale Sensing with Single Spins Using Quantum Decoherence
• Concatenated dynamical decoupling in a solid-state spin bath
• Direct observation of ultrafast many-body electron dynamics in an ultracold Rydberg gas
• Spin-valley qubit in nanostructures of monolayer semiconductors: Optical control and hyperfine interaction
• Environmental effects on electron spin relaxation in N@C60
• Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
• Converting a real quantum bath to an effective classical noise
• Dynamical control of electron spin coherence in a quantum dot
• Hyperfine-induced decoherence in triangular spin-cluster qubits
• Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon
• External field control of donor electron exchange at the Si/SiO2 interface
• Dephasing of electron spin qubits due to their interaction with nuclei in quantum dots
• Free induction decay of single spins in diamond
• Dynamics and decoherence in the central spin model in the low-field limit
• Semi-classical model for the dephasing of a two-electron spin qubit coupled to a coherently evolving nuclear spin bath
• Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
• Quantum bath-driven decoherence of mixed spin systems
• Nuclear Spins as Quantum Memory in Semiconductor Nanostructures
• Quantum theory of the charge stability diagram of semiconductor double quantum dot systems
• Optical coherence of ${}^{166}$Er:${}^7$LiYF${}_4$ crystal below 1 Kelvin
• Theoretical study of nuclear spin polarization and depolarization in self-assembled quantum dots
• Measurement, control, and decay of quantum-dot spins
• From quantum-mechanical to classical dynamics in the central-spin model
• Master equation approach to the central spin decoherence problem: the uniform coupling model and the role of projection operators
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath
• Two-spin dephasing by electron-phonon interaction in semiconductor double quantum dots
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Longitudinal spin relaxation model applied to point defect qubit systems
• Spin echo decay at low magnetic fields in a nuclear spin bath
• General theory of feedback control of a nuclear spin ensemble in quantum dots
• Magnetic Gradient Fluctuations from Quadrupolar ${}^{73}$Ge in Si/SiGe Exchange-Only Qubits
• Conservation laws protect dynamic spin correlations from decay: Limited role of integrability in the central spin model
• Experimental characterization of spin-3/2 silicon vacancy centers in 6H-SiC
• Reexamination of spin decoherence in semiconductor quantum dots from equation-of-motion approach
• Influence of an external magnetic field on the decoherence of a central spin coupled to an antiferromagnetic environment
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Persisting correlations of a central spin coupled to large spin baths
• Quantum control and manipulation of donor electrons in Si-based quantum computing
• Decoherence of coupled electron spins via nuclear spin dynamics in quantum dots
• Competing interactions in semiconductor quantum dots
• Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond
• SiGe/Si quantum dot electron spin decoherence dependence on ${}^{73}$Ge
• Spin coherence times of point defects in two-dimensional materials from first principles
• Aperiodic dynamical decoupling sequences in presence of pulse errors
• Cluster-correlation expansion for studying decoherence of clock transitions in spin baths
• Efficient algorithms for the dynamics of large and infinite classical central spin models
• Quasi-Hamiltonian Method for Computation of Decoherence Rates
• Valley interference effects on a donor electron close to a Si/SiO2 interface
• Dynamic mean-field theory for dense spin systems at infinite temperature
• Keeping a spin qubit alive in natural silicon: Comparing optimal working points and dynamical decoupling
• Phase-Sensitive Probes of Nuclear Polarization in Spin-Blockaded Transport
• Enhanced hyperfine-induced spin dephasing in a magnetic-field gradient
• Many-Body Spin Echo
• Single electron spin and its coherence in Si quantum computer architecture
• Suppression of electron spin decoherence in a quantum dot
• Nuclear Spin Engineering for Quantum Information Science
• Quantum mechanical treatment of large spin baths
• Magnetic field-assisted manipulation and entanglement of Si spin qubits
• Measurement Induced Quantum Coherence Recovery
• Understanding the dynamics of randomly positioned dipolar spin ensembles
• Wavelet-resolved coherence beats in the Overhauser field of a thermal nuclear spin ensemble
• First-principles computational methods for quantum defects in two-dimensional materials: A perspective
• Dephasing by a Continuous-Time Random Walk Process
• Hahn echo and criticality in spin-chain systems
• Thermal electron spin flip in quantum dots
• Universal dynamics of quantum spin decoherence in a spin bath
• Coherence loss and recovery of an electron spin coupled inhomogeneously to a one-dimensional interacting spin bath: an adaptive t-DMRG study
• Quantum decoherence of nitrogen-vacancy spin ensembles in a nitrogen spin bath in diamond under dynamical decoupling
• Microscopic understanding of NMR signals by dynamic mean-field theory for spins
• Anomalous external-magnetic-field dependence of dephasing in a spin bath