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The time-dependent Schrodinger equation of a many particle spin system consisting of an electron in a quantum dot interacting with the spins of the nuclei (N) in the dot due to hyperfine interaction is solved exactly for a given arbitrary…

Quantum Physics · Physics 2007-05-23 A. K. Rajagopal

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…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 W. A. Coish , J. Baugh

Among the possible types of magnetic dipole interactions in molecular systems, couplings between nuclear motion and the nuclear spin have probably received the least attention in molecular spectroscopy. Although very small in comparison to…

Chemical Physics · Physics 2026-04-22 Matthias Diez , Johannes K. Krondorfer , Albert Hirtenfelder , Andreas W. Hauser

The ability to discriminate between simultaneously occurring noise sources in the local environment of semiconductor InGaAs quantum dots, such as electric and magnetic field fluctuations, is key to understanding their respective dynamics…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Megan J. Stanley , Clemens Matthiesen , Jack Hansom , Claire Le Gall , Carsten H. H. Schulte , Edmund Clarke , Mete Atatüre

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

We study detailed classical-quantum correspondence for a cluster system of three spins with single-axis anisotropic exchange coupling. With autoregressive spectral estimation, we find oscillating terms in the quantum density of states…

Condensed Matter · Physics 2007-05-23 P. A. Houle , N. G. Zhang , C. L. Henley

Achieving control over the electron spin in quantum dots (artificial atoms) or real atoms promises access to new technologies in conventional and in quantum information processing. Here we review our proposal for quantum computing with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Vitaly N. Golovach , Daniel Loss

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

Spin-orbit coupled Bose-Einstein condensates (BECs) provide a powerful tool to investigate interesting gauge-field related phenomena. We study the ground state properties of such a system and show that it can be mapped to the well-known…

Quantum Gases · Physics 2014-12-18 Chris Hamner , Chunlei Qu , Yongping Zhang , JiaJia Chang , Ming Gong , Chuanwei Zhang , Peter Engels

We survey recent work on designing and evaluating quantum computing implementations based on nuclear or bound-electron spins in semiconductor heterostructures at low temperatures and in high magnetic fields. General overview is followed by…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Dima Mozyrsky , Israel D. Vagner

We review our investigation of the spin dynamics for two electrons confined to a double quantum dot under the influence of the hyperfine interaction between the electron spins and the surrounding nuclei. Further we propose a scheme to…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 D. Klauser , W. A. Coish , Daniel Loss

Spin noise spectroscopy is a promising technique for revealing the microscopic nature of spin dephasing processes in quantum dots. We compare the spin-noise in an ensemble of singly charged quantum dots calculated by two complementary…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Johannes Hackmann , Dmitry S. Smirnov , Mikhail M. Glazov , Frithjof B. Anders

In quantum dots made from materials with nonzero nuclear spins, hyperfine coupling creates a fluctuating effective Zeeman field (Overhauser field) felt by electrons, which can be a dominant source of spin qubit decoherence. We characterize…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. J. Reilly , J. M. Taylor , E. A. Laird , J. R. Petta , C. M. Marcus , M. P. Hanson , A. C. Gossard

We theoretically study the nuclear spin dynamics driven by electron transport and hyperfine interaction in an electrically-defined double quantum dot (DQD) in the Pauli-blockade regime. We derive a master-equation-based framework and show…

Mesoscale and Nanoscale Physics · Physics 2014-06-03 Martin J. A. Schuetz , Eric M. Kessler , Lieven M. K. Vandersypen , J. Ignacio Cirac , Geza Giedke

The nuclear spin, being much more isolated from the environment than its electronic counterpart, enables quantum experiments with prolonged coherence times and presents a gateway towards uncovering the intricate dynamics within an atom.…

Mesoscale and Nanoscale Physics · Physics 2023-09-08 Lukas M. Veldman , Evert W. Stolte , Mark P. Canavan , Rik Broekhoven , Philip Willke , Laëtitia Farinacci , Sander Otte

Electron spins in quantum dots under coherent control exhibit a number of novel feedback processes. Here, we present experimental and theoretical evidence of a feedback process between nuclear spins and a single electron spin in a single…

Electron spin dephasing in a singly charged semiconductor quantum dot can partially be suppressed by periodic laser pulsing. We propose a semi-classical approach describing the decoherence of the electron spin polarization governed by the…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Natalie Jäschke , Andreas Fischer , E. Evers , V. V. Belykh , Alex Greilich , Manfred Bayer , Frithjof B. Anders

The interaction between spins in coupled quantum dots is revealed in distinct fine structure patterns in the measured optical spectra of InAs/GaAs double quantum dot molecules containing zero, one, or two excess holes. The fine structure is…

Other Condensed Matter · Physics 2011-11-09 M. Scheibner , M. F. Doty , I. V. Ponomarev , A. S. Bracker , E. A. Stinaff , V. L. Korenev , T. L. Reinecke , D. Gammon

This paper is a review of the works devoted to understanding and reinterpretation of the theory of quantum integrable models solvable by Bethe ansatz in terms of the theory of purely classical soliton equations. Remarkably, studying…

Mathematical Physics · Physics 2025-03-19 A. Zabrodin

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

Quantum Gases · Physics 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das