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The theory of spin fluctuations is developed for an ensemble of localized electrons taking into account both hyperfine interaction of electron and nuclear spins and electron hopping between the sites. The analytical expression for the spin…

Mesoscale and Nanoscale Physics · Physics 2015-05-07 M. M. Glazov

We consider spin dynamics in the impurity band of a semiconductor with spin-split spectrum. Due to the splitting, phonon-assisted hops from one impurity to another are accompanied by rotation of the electron spin, which leads to spin…

Disordered Systems and Neural Networks · Physics 2015-06-25 I. S. Lyubinskiy , A. P. Dmitriev , V. Yu. Kachorovskii

We consider the decoherence of a single localized electron spin due to its coupling to the lattice nuclear spin bath in a semiconductor quantum computer architecture. In the presence of an external magnetic field and at low temperatures,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. M. Witzel , S. Das Sarma

This chapter describes the relationship between low frequency noise and coherence decay of localized spins in semiconductors. Section 2 establishes a direct relationship between an arbitrary noise spectral function and spin coherence as…

Mesoscale and Nanoscale Physics · Physics 2009-09-05 Rogerio de Sousa

Fluctuations of electric fields can change the position of a gate-defined quantum dot in a semiconductor heterostructure. In the presence of magnetic field gradient, these stochastic shifts of electron's wavefunction lead to fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2024-08-09 Marcin Kępa , Łukasz Cywiński , Jan A. Krzywda

In this article we review our work on the dynamics and decoherence of electron and hole spins in single and double quantum dots. The first part, on electron spins, focuses on decoherence induced via the hyperfine interaction while the…

Mesoscale and Nanoscale Physics · Physics 2007-06-12 D. Klauser , D. V. Bulaev , W. A. Coish , Daniel Loss

The main source of decoherence for an electron spin confined to a quantum dot is the hyperfine interaction with nuclear spins. To analyze this process theoretically we diagonalize the central spin Hamiltonian in the high magnetic B-field…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Oleksandr Tsyplyatyev , Daniel Loss

We study the decoherence of a single electron spin in an isolated quantum dot induced by hyperfine interaction with nuclei for times smaller than the nuclear spin relaxation time. The decay is caused by the spatial variation of the electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Khaetskii , Daniel Loss , Leonid Glazman

Electron spin decoherence caused by elastic spin-phonon processes is investigated comprehensively in a zero-dimensional environment. Specifically, a theoretical treatment is developed for the processes associated with the fluctuations in…

Other Condensed Matter · Physics 2009-11-11 Y. G. Semenov , K. W. Kim

The dominant source of decoherence for an electron spin in a quantum dot is the hyperfine interaction with the surrounding bath of nuclear spins. The decoherence process may be slowed down by subjecting the electron spin to suitable…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Wenxian Zhang , V. V. Dobrovitski , Lea F. Santos , Lorenza Viola , B. N. Harmon

We review and summarize recent theoretical and experimental work on electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with surrounding nuclear spins. This topic is of particular interest with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 John Schliemann , Alexander Khaetskii , Daniel Loss

The spin fluctuations of electron and hole doped self-assembled quantum dot ensembles are measured optically in the low-intensity limit of a probe laser in absence and presence of longitudinal or transverse static magnetic fields. The…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 P. Glasenapp , D. S. Smirnov , A. Greilich , J. Hackmann , M. M. Glazov , F. B. Anders , M. Bayer

We have studied the physical processes responsible for the spin -flip in GaAs quantum dots. We have calculated the rates for different mechanisms which are related to spin-orbit coupling and cause a spin-flip during the inelastic relaxation…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexander V. Khaetskii , Yuli V. Nazarov

We present a quantum solution to the electron spin decoherence by a nuclear pair-correlation method for the electron-nuclear spin dynamics under a strong magnetic field and a temperature high for the nuclear spins but low for the electron.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Wang Yao , Ren-Bao Liu , L. J. Sham

The spin dynamics of localized electrons in bulk semiconductors is governed by the interplay of effective nuclear field fluctuations, spin exchange between electrons, and spin transitions into the conduction band. Using spin noise…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 A. L. Zibinskiy , S. Cronenberger , B. Gribakin , R. Baye , D. Scalbert , R. André , D. S. Smirnov , M. Vladimirova

We investigate the role of the nuclear spin quantum dynamics in hyperfine-induced spin relaxation of hopping carriers in organic semiconductors. The fast hopping regime with a small carrier spin precession during a waiting time between hops…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 V. V. Mkhitaryan , V. V. Dobrovitski

Motivated by recent interest in the role of the hyperfine interaction in quantum dots we study the dynamics of a localized electron spin coupled to many nuclei. An important feature of the model is that the coupling to an individual nuclear…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sigurdur I. Erlingsson , Yuli V. Nazarov

We theoretically consider the temporal dynamics of two coupled spin qubits (e.g., semiconductor quantum dots) driven by the inter-qubit spin-spin coupling. The presence of environmental noise (e.g., charge traps, nuclear spins, random…

Mesoscale and Nanoscale Physics · Physics 2016-07-29 S. Das Sarma , Robert E. Throckmorton , Yang-Le Wu

We present a study of the prospects for coherence preservation in solid-state spin qubits using dynamical decoupling protocols. Recent experiments have provided the first demonstrations of multipulse dynamical decoupling sequences in this…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. J. Biercuk , H. Bluhm

Spin-orbit coupling is ubiquitous in quantum dot quantum computing architectures, and makes spin qubits susceptible to charge noise. We derive a Hamiltonian describing the effect of spin-orbit and noise on a single-spin qubit in a quantum…

Mesoscale and Nanoscale Physics · Physics 2014-11-14 Adam Bermeister , Daniel Keith , Dimitrie Culcer
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