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The paper lays the foundation for the study of unimodular rows using Spin groups. We show that elementary orbits of unimodular rows (of any length $n\geq 3$) are equivalent to elementary Spin orbits on the unit sphere. (This bijection is…

Rings and Algebras · Mathematics 2021-07-28 Vineeth Chintala

We present a detailed assessment of how well a future Electron-Ion Collider could constrain helicity parton distributions in the nucleon and, therefore, unveil the role of the intrinsic spin of quarks and gluons in the proton's spin budget.…

High Energy Physics - Phenomenology · Physics 2015-12-02 Elke C. Aschenauer , R. Sassot , M. Stratmann

We propose to use the spin-orbit interaction as a means to control electron spins in quantum dots, enabling both single qubit and two qubit operations. Very fast single qubit operations may be achieved by temporarily displacing the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Anders S. Sorensen , Karsten Flensberg

The rapidly rising fields of spintronics and quantum information science have led to a strong interest in developing the ability to coherently manipulate electron spins. Electron spin resonance (ESR) is a powerful technique to manipulate…

Materials Science · Physics 2009-11-13 M. Pioro-Ladriere , T. Obata , Y. Tokura , Y. -S. Shin , T. Kubo , K. Yoshida , T. Taniyama , S. Tarucha

The equations for the solitons arbitrarily rotating in the ordinary and isotopic space are obtained. The wave functions of the corresponding dynamic states in the quantum case are found. The generalized matrix of the moments of inertia is…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Tsukanov

Manipulation of single spins is essential for spin-based quantum information processing. Electrical control instead of magnetic control is particularly appealing for this purpose, since electric fields are easy to generate locally on-chip.…

Mesoscale and Nanoscale Physics · Physics 2008-03-10 K. C. Nowack , F. H. L. Koppens , Yu. V. Nazarov , L. M. K. Vandersypen

Lepton scattering is an established ideal tool for studying inner structure of small particles such as nucleons as well as nuclei. As a future high energy nuclear physics project, an Electron-ion collider in China (EicC) has been proposed.…

It is widely accepted that spin-orbit coupling (SOC) generally locks spin and spatial degrees of freedom, as a result, the spin, despite being an axial vector, is fixed and cannot rotate independently, and the magnetic system should be…

Materials Science · Physics 2026-02-19 Yuxuan Mu , Di Wang , Xiangang Wan

The use of Slater-type spinor orbitals in algebraic solution of the Dirac equation is investigated. The one- and two-center integrals constitute the matrix elements arising in generalized eigenvalue equation for one-electron atoms and…

Atomic Physics · Physics 2016-07-13 A. Bagci , P. E. Hoggan

The theory of spin superradiance, developed earlier for nuclear magnets, is generalized to a wider class of spin systems, such as granular magnets and molecular magnets. The latter may possess strong single-site magnetocrystalline…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov

Oscillators and rotators are among the most important physical systems. For centuries the only known rotating systems that actually reached the limits of the ideal situation of undamped periodical motion were the planets in their orbits.…

General Physics · Physics 2007-05-23 Osvaldo F. Schilling

We consider "shuttling" of spin-polarized electrons between two magnetic electrodes (half-metals) by a movable dot with a single electronic level. If the magnetization of the electrodes is antiparallel we show that the transmittance of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. Y. Gorelik , S. I. Kulinich , R. I. Shekhter , M. Jonson , V. M. Vinokur

Manipulation of spin states at the single-atom scale underlies spin-based quantum information processing and spintronic devices. Such applications require protection of the spin states against quantum decoherence due to interactions with…

Mesoscale and Nanoscale Physics · Physics 2018-11-13 Yujeong Bae , Kai Yang , Philip Willke , Taeyoung Choi , Andreas J. Heinrich , Christopher P. Lutz

The spin structure function of the neutron is traditionally determined by measuring the spin asymmetry of inclusive electron deep inelastic scattering (DIS) off polarized3He nuclei. In such experiments, nuclear effects can lead to large…

A novel precision polarimeter will go a long way in satisfying the requirements of the precision experiments being planned for a future facility such as the Electron Ion Collider. A polarimeter based on the asymmetry in the spacial…

Accelerator Physics · Physics 2020-12-16 Prajwal Mohanmurthy

One of the frontier research areas common to both nuclear and particle physics is the study of hadron structure and the strong interaction. In this contribution we will discuss a plan for a polarized electron-ion collider in China (EicC)…

Nuclear Experiment · Physics 2018-09-05 Xurong Chen

A pivotal challenge in quantum technologies lies in reconciling long coherence times with efficient manipulation of the quantum states of a system. Lanthanide atoms, with their well-localized 4f electrons, emerge as a promising solution to…

Mesoscale and Nanoscale Physics · Physics 2023-09-28 Stefano Reale , Jiyoon Hwang , Jeongmin Oh , Harald Brune , Andreas J. Heinrich , Fabio Donati , Yujeong Bae

For $n \in \mathbb{N}$ and a commutative ring $R$ with $2 \in R^{\times}$, the group $SL_n (R)$ acts on the set $Um_n (R)$ of unimodular vectors of length $n$ and $Spin_{2n}(R)$ acts on the set of unit vectors $U_{2n-1}(R)$. We give an…

Algebraic Geometry · Mathematics 2024-07-04 Tariq Syed

Molecular robotics is challenging, so it seems best to keep it simple. We consider an abstract molecular robotics model based on simple folding instructions that execute asynchronously. Turning Machines are a simple 1D to 2D folding model,…

Robotics · Computer Science 2022-01-26 Irina Kostitsyna , Cai Wood , Damien Woods

Effective symmetry-based transition operators for resonant inelastic X-ray scattering (RIXS) are derived that show how the scattering between different states depends on the polarization of the incoming and outgoing X-rays. In spherical…

Strongly Correlated Electrons · Physics 2011-06-06 Michel van Veenendaal