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We obtain a compact analytical solution for the nonlinear equation for the nuclear spin dynamics in the central spin box model in the limit of many nuclear spins. The total nuclear spin component along the external magnetic field is…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 A. V. Shumilin , D. S. Smirnov

We study theoretically the spin fluctuations of nuclei in quantum dots. We employ the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. We present an analytical solution in the frame of…

Mesoscale and Nanoscale Physics · Physics 2018-07-02 Nina Fröhling , Frithjof B. Anders , Mikhail Glazov

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

We review our theoretical work on the dynamics of a localized electron spin interacting with an environment of nuclear spins. Our perturbative calculation is valid for arbitrary polarization p of the nuclear spin system and arbitrary…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , Daniel Loss

A microscopic theory of spin fluctuations of localized electrons interacting with optically cooled nuclear spin bath has been developed. Since nuclear spin temperature may stay low enough for macroscopically long time, the nuclear spin…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 D. S. Smirnov

We develop an efficient package for the simulation of nuclear magnetic resonance spin echo experiments to study the effects of strong electronic spin correlations on the dynamics of the nuclear spin ensemble. A mean-field model is used to…

Strongly Correlated Electrons · Physics 2026-02-09 Charles Snider , Stephen Carr , D. E. Feldman , Chandrasekhar Ramanathan , V. F. Mitrović

Spin dynamics is considered in ferromagnets consisting of electron and nuclear subsystems interacting with each other through hyperfine forces. In addition, the ferromagnetic sample is coupled with a resonance electric circuit. Under these…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , M. G. Cottam , M. R. Singh

We study theoretically the formation of the nuclear-spin polaron state in semiconductor nanosystems within the Lindblad equation approach. To this end, we derive a general Lindblad equation for the density operator that complies with the…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Iris Kleinjohann , Andreas Fischer , Mikhail M. Glazov , Frithjof B. Anders

The physics of interacting nuclear spins arranged in a crystalline lattice is typically described using a thermodynamic framework: a variety of experimental studies in bulk solid-state systems have proven the concept of a spin temperature…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 P. Maletinsky , M. Kroner , A. Imamoglu

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

We study the spin dynamics in charged quantum dots in the situation where the resident electron is coupled to only about 200 nuclear spins and where the electron spin splitting induced by the Overhauser field does not exceed markedly the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. H. Feng , I. A. Akimov , F. Henneberger

We investigate the dynamic nuclear polarization from the hyperfine interaction between nonequilibrium electronic spins and nuclear spins coupled to them in semiconductor nanostructures. We derive the time and position dependence of the…

Materials Science · Physics 2007-05-23 Ionel Tifrea , Michael E. Flatte

We propose a mechanism for very slow coherent oscillations of current and nuclear spins in a quantum dot system, that may qualitatively explain some recent experimental observations. We concentrate on an experimentally relevant double dot…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigurdur I. Erlingsson , Oleg N. Jouravlev , Yuli V. Nazarov

The spin of an electron trapped in a quantum dot is a promising candidate implementation of a qubit for quantum information processing. We study the central spin problem of the effect of the hyperfine interaction between such an electron…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 Gang Chen , Doron L. Bergman , Leon Balents

The interplay of optical driving and hyperfine interaction between an electron confined in a quantum dot and its surrounding nuclear spin environment produces a range of interesting physics such as mode-locking. In this work, we go beyond…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Arian Vezvaee , Gargee Sharma , Sophia E. Economou , Edwin Barnes

We report manifestly nonlinear dependence of quantum dot nuclear spin polarization on applied magnetic fields. Resonant absorption and emission of circularly polarized radiation pumps the resident quantum dot electron spin, which in turn…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Maletinsky , C. W. Lai , A. Badolato , A. Imamoglu

We present a quantum mechanical theory of optically induced dynamic nuclear polarization applicable to quantum dots and other interacting spin systems. The exact steady state of the optically driven coupled electron-nuclear system is…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 Thomas Nutz , Edwin Barnes , Sophia E. Economou

The electron-nuclei (hyperfine) interaction is central to spin qubits in solid state systems. It can be a severe decoherence source but also allows dynamic access to the nuclear spin states. We study a double quantum dot exposed to an…

Mesoscale and Nanoscale Physics · Physics 2013-06-13 Gunnar Petersen , Eric A. Hoffmann , Dieter Schuh , Werner Wegscheider , Geza Giedke , Stefan Ludwig

We introduce a method for solving the problem of an externally controlled electron spin in a quantum dot interacting with host nuclei via the hyperfine interaction. Our method accounts for generalized (non-unitary) evolution effected by…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 Edwin Barnes , Sophia E. Economou

We have theoretically analyzed coherent nuclear-spin dynamics induced by electron transport through a quantum-dot spin valve. The hyperfine interaction between electron and nuclear spins in a quantum dot allows for the transfer of angular…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Stefano Chesi , W. A. Coish
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