scholarly journals Spin tune mapping as a novel tool to probe the spin dynamics in storage rings

2017 ◽  
Vol 20 (7) ◽  
Author(s):  
A. Saleev ◽  
N. N. Nikolaev ◽  
F. Rathmann ◽  
W. Augustyniak ◽  
Z. Bagdasarian ◽  
...  
Keyword(s):  
Spin Dynamics ◽  
Storage Rings

Spin Dynamics and Simulation of Spin Motion in Storage Rings

2008 ◽  
Author(s):  
D.P. Barber ◽  
D. P. Barber ◽  
N. Buttimore ◽  
S. Chattopadhyay ◽  
G. Court ◽  
...  
Keyword(s):  
Spin Dynamics ◽  
Storage Rings ◽  
Spin Motion

scholarly journals The Bloch equation for spin dynamics in electron storage rings: Computational and theoretical aspects

2019 ◽  
Vol 34 (36) ◽  
pp. 1942032 ◽  
Author(s):  
Klaus Heinemann ◽  
Daniel Appelö ◽  
Desmond P. Barber ◽  
Oleksii Beznosov ◽  
James A. Ellison
Keyword(s):  
Mathematical Model ◽  
Spin Diffusion ◽  
Spin Dynamics ◽  
High Energy ◽  
Bloch Equation ◽  
Storage Rings ◽  
Electron Storage ◽  
Model Based ◽  
Spin Flip ◽  
Electron Storage Rings

In this paper, we describe our work on spin polarization in high-energy electron storage rings which we base on the Full Bloch equation (FBE) for the polarization density and which aims towards the [Formula: see text] option of the proposed Future Circular Collider (FCC-ee) and the proposed Circular Electron Positron Collider (CEPC). The FBE takes into account non spin-flip and spin-flip effects due to synchrotron radiation including the spin-diffusion effects and the Sokolov–Ternov effect with its Baier–Katkov generalization as well as the kinetic-polarization effect. This mathematical model is an alternative to the standard mathematical model based on the Derbenev–Kondratenko formulas. For our numerical and analytical studies of the FBE, we develop an approximation to the latter to obtain an effective FBE. This is accomplished by finding a third mathematical model based on a system of stochastic differential equations (SDEs) underlying the FBE and by approximating that system via the method of averaging from perturbative ODE theory. We also give an overview of our algorithm for numerically integrating the effective FBE. This discretizes the phase space using spectral methods and discretizes time via the additive Runge–Kutta (ARK) method which is a high-order semi-implicit method. We also discuss the relevance of the third mathematical model for spin tracking.

scholarly journals Beam- and Spin Dynamics for Hadron Storage Rings

2015 ◽  
Vol 21 (S4) ◽  
pp. 24-28
Author(s):  
Andreas Lehrach
Keyword(s):  
Spin Dynamics ◽  
Storage Rings

Electron and positron storage rings

1963 ◽  
Vol 81 (9) ◽  
pp. 7-49 ◽  
Author(s):  
Artem I. Alikhan'yan ◽  
S.A. Kheifets ◽  
S.K. Esin
Keyword(s):  
Storage Rings

The Damping Term, from First Principles

2017 ◽  
Author(s):  
Olle Eriksson ◽  
Anders Bergman ◽  
Lars Bergqvist ◽  
Johan Hellsvik
Keyword(s):  
Density Functional Theory ◽  
First Principles ◽  
Density Functional ◽  
Spin Dynamics ◽  
Damping Term ◽  
Functional Theory ◽  
Basic Principles ◽  
Sham Equation ◽  
Damping Parameter ◽  
Simulation Cell

In the previous chapters we described the basic principles of density functional theory, gave examples of how accurate it is to describe static magnetic properties in general, and derived from this basis the master equation for atomistic spin-dynamics; the SLL (or SLLG) equation. However, one term was not described in these chapters, namely the damping parameter. This parameter is a crucial one in the SLL (or SLLG) equation, since it allows for energy and angular momentum to dissipate from the simulation cell. The damping parameter can be evaluated from density functional theory, and the Kohn-Sham equation, and it is possible to determine its value experimentally. This chapter covers in detail the theoretical aspects of how to calculate theoretically the damping parameter. Chapter 8 is focused, among other things, on the experimental detection of the damping, using ferromagnetic resonance.

Strong Coupling of Electron and Nuclear Spins: Outlook and Prospects

2018 ◽  
Author(s):  
M. M. Glazov
Keyword(s):  
Energy Spectrum ◽  
Charge Carrier ◽  
Strong Coupling ◽  
Nuclear Spin ◽  
Spin Dynamics ◽  
Spin Polaron ◽  
Nuclear Spins ◽  
Deep Impurity ◽  
Impurity Centers ◽  
Ordered State

In this chapter, some prospects in the field of electron and nuclear spin dynamics are outlined. Particular emphasis is put ona situation where the hyperfine interaction is so strong that it leads to a qualitative rearrangement of the energy spectrum resulting in the coherent excitation transfer between the electron and nucleus. The strong coupling between the spin of the charge carrier and of the nucleus is realized, for example in the case of deep impurity centers in semiconductors or in isotopically purified systems. We also discuss the effect of the nuclear spin polaron, that is ordered state, formation at low enough temperatures of nuclear spins, where the orientation of the carrier spin results in alignment of the spins of nucleus interacting with the electron or hole.

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