Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
arXiv:1607.03993 · doi:10.1088/0034-4885/80/1/016001
Abstract
Decoherence of electron spins in nanoscale systems is important to quantum technologies such as quantum information processing and magnetometry. It is also an ideal model problem for studying the crossover between quantum and classical phenomena. At low temperatures or in light-element materials where the spin-orbit coupling is weak, the phonon scattering in nanostructures is less important and the fluctuations of nuclear spins become the dominant decoherence mechanism for electron spins. Since 1950s, semiclassical noise theories have been developed for understanding electron spin decoherence. In spin-based solid-state quantum technologies, the relevant systems are in the nanometer scale and the nuclear spin baths are quantum objects which require a quantum description. Recently, quantum pictures have been established to understand the decoherence and quantum many-body theories have been developed to quantitatively describe this phenomenon. Anomalous quantum effects have been predicted and some have been experimentally confirmed. A systematically truncated cluster correlation expansion theory has been developed to account for the many-body correlations in nanoscale nuclear spin baths that are built up during the electron spin decoherence. The theory has successfully predicted and explained a number of experimental results in a wide range of physical systems. In this review, we will cover these recent progresses. The limitations of the present quantum many-body theories and possible directions for future development will also be discussed.
44 pages, 29 figures, corrected many typos and added some references
References in corpus (60)
- Quantum Computing
- High-sensitivity diamond magnetometer with nanoscale resolution
- Single-shot read-out of an individual electron spin in a quantum dot
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Universal dynamical decoupling of a single solid-state spin from a spin bath
- High-fidelity projective readout of a solid-state spin quantum register
- How to Enhance Dephasing Time in Superconducting Qubits
- Scanning magnetic field microscope with a diamond single-spin sensor
- Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
- Solid state quantum memory using the 31P nuclear spin
- Detection and control of individual nuclear spins using a weakly coupled electron spin
- Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
- 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
- All-optical initialization, readout, and coherent preparation of single silicon-vacancy spins in diamond
- Spin relaxation and decoherence of holes in quantum dots
- Quenching Spin Decoherence in Diamond through Spin Bath Polarization
- Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- Spin-echo of a single electron spin in a quantum dot
- Quantum many-body theory of qubit decoherence in a finite-size spin bath
- Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
- Observation of Lee-Yang zeros
- Suppressing qubit dephasing using real-time Hamiltonian estimation
- Nuclear spin pair coherence in diamond for atomic scale magnetometry
- Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
- Coherent properties of single rare-earth spin qubits
- Demonstration of entanglement-by-measurement of solid state qubits
- Room-temperature manipulation and decoherence of a single spin in diamond
- All-optical formation of coherent dark states of silicon-vacancy spins in diamond
- 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
- Nuclear Spins in Nanostructures
- Preserving qubit coherence by dynamical decoupling
- Exact dynamics in the inhomogeneous central-spin model
- Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
- Electron spin phase relaxation of phosphorus donors in nuclear spin enriched silicon
- Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
- Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
- Direct measurement of the hole-nuclear spin interaction in single quantum dots
- Nonperturbative master equation solution of central spin dephasing dynamics
- Universal phase shift and non-exponential decay of driven single-spin oscillations
- Anomalous decoherence effect in a quantum bath
- Hyperfine interaction induced decoherence of electron spins in quantum dots
- Exponential decay in a spin bath
- Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
- Electron spin as a spectrometer of nuclear spin noise and other fluctuations
- Quadrupolar induced suppression of nuclear spin bath fluctuations in self-assembled quantum dots
- Coherence of an optically illuminated single nuclear spin qubit
- Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
- Uncovering many-body correlations in nanoscale nuclear spin baths by central spin decoherence
- Nuclear Spins as Quantum Memory in Semiconductor Nanostructures
- From quantum-mechanical to classical dynamics in the central-spin model
- Qubit coherence control in a nuclear spin bath
- Spin echo decay at low magnetic fields in a nuclear spin bath
- 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
- Exactly solvable spin dynamics of an electron coupled to large number of nuclei and the electron-nuclear spin echo in a quantum dot
- Decoherence of coupled electron spins via nuclear spin dynamics in quantum dots
- Keeping a spin qubit alive in natural silicon: Comparing optimal working points and dynamical decoupling
Cited by in corpus (9)
- High-capacity and high-power collective charging with spin chargers
- Equivalence of qubit-environment entanglement and discord generation via pure dephasing interactions and the consequences thereof
- Substrate-controlled dynamics of spin qubits in low dimensional van-der-Waals materials
- Free induction decays in nuclear spin-1/2 lattices with small number of interacting neighbors: the cases of silicon and fluorapatite
- Theory of Metastability in Discrete-Time Open Quantum Dynamics
- Characterization of a quasi-static environment with a qubit
- Appearance of objectivity for NV centers interacting with dynamically polarized nuclear environment
- Dynamical decoupling for realization of topological frequency conversion
- Truncated Wigner approximation for the bosonic model of large spin baths