Nuclear spin dynamics using time-dependent projection operators: Application to the saturation of dipolar order in slowly rotating samples

2007 ◽  
Vol 127 (22) ◽  
pp. 224506 ◽  
Author(s):  
T. Charpentier ◽  
D. Sakellariou ◽  
J. Virlet ◽  
F. S. Dzheparov ◽  
J.-F. Jacquinot
Keyword(s):  
Nuclear Spin ◽  
Spin Dynamics ◽  
Time Dependent ◽  
Projection Operators ◽  
Dipolar Order

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.

scholarly journals Programmable Nuclear-Spin Dynamics in Ti(IV) Coordination Complexes

2020 ◽  
Vol 59 (11) ◽  
pp. 7479-7486
Author(s):  
Spencer H. Johnson ◽  
Cassidy E. Jackson ◽  
Joseph M. Zadrozny
Keyword(s):  
Nuclear Spin ◽  
Spin Dynamics ◽  
Coordination Complexes

scholarly journals Nuclear-spin-pattern control of electron-spin dynamics in a series of V(iv) complexes

2019 ◽  
Vol 10 (36) ◽  
pp. 8447-8454 ◽  
Author(s):  
Cassidy E. Jackson ◽  
Chun-Yi Lin ◽  
Spencer H. Johnson ◽  
Johan van Tol ◽  
Joseph M. Zadrozny
Keyword(s):  
Spin Relaxation ◽  
Electron Spin ◽  
Nuclear Spin ◽  
Spin Dynamics ◽  
Relaxation Times ◽  
Open Shell ◽  
Pattern Control ◽  
Electron Spin Dynamics

This report details how the design of specific nuclear-spin patterns on ligands modulates spin-relaxation times in a set of open-shell vanadium(iv) complexes.

scholarly journals A tight nonlinear approximation theory for time dependent closed quantum systems

2019 ◽  
Vol 27 (3) ◽  
pp. 141-154
Author(s):  
Joseph W. Jerome
Keyword(s):  
Fixed Points ◽  
Nonlinear Approximation ◽  
Quantum Systems ◽  
Time Dependent ◽  
Projection Operators ◽  
Evolution Operators ◽  
Actual Application ◽  
Hartree Potential ◽  
Dependent Potential ◽  
External Time

Abstract The approximation of fixed points by numerical fixed points was presented in the elegant monograph of Krasnosel’skii et al. (1972). The theory, both in its formulation and implementation, requires a differential operator calculus, so that its actual application has been selective. The writer and Kerkhoven demonstrated this for the semiconductor drift-diffusion model in 1991. In this article, we show that the theory can be applied to time dependent quantum systems on bounded domains, via evolution operators. In addition to the kinetic operator term, the Hamiltonian includes both an external time dependent potential and the classical nonlinear Hartree potential. Our result can be paraphrased as follows: For a sequence of Galerkin subspaces, and the Hamiltonian just described, a uniquely defined sequence of Faedo–Galerkin solutions exists; it converges in Sobolev space, uniformly in time, at the maximal rate given by the projection operators.

31P Nuclear Spin Dynamics in Metallic Si:P at Very Low Temperature and High Magnetic Fields

2009 ◽  
Vol 78 (7) ◽  
pp. 075003 ◽  
Author(s):  
Minki Jeong ◽  
Myeonghun Song ◽  
Tomohiro Ueno ◽  
Takao Mizusaki ◽  
Akira Matsubara ◽  
...  
Keyword(s):  
Low Temperature ◽  
Magnetic Fields ◽  
Nuclear Spin ◽  
Spin Dynamics ◽  
High Magnetic Fields ◽  
Very Low Temperature

SPIN DYNAMICS OF MOLECULAR MAGNET INTERACTING WITH INJECTED ELECTRONS

2003 ◽  
Vol 17 (07) ◽  
pp. 1117-1125 ◽  
Author(s):  
DONG-SHENG HU ◽  
SHI-JIE XIONG
Keyword(s):  
Exchange Interaction ◽  
Time Evolution ◽  
Electron Spin ◽  
Spin Dynamics ◽  
Molecular Magnets ◽  
Time Dependent ◽  
Molecular Magnet ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Local Spin

We investigate the time evolution of the local spin in a molecular magnet interacting with injected electrons. By solving the time-dependent Schrödinger equations, we find that the variation in the magnetization of the molecular magnet and the electron spin crucially depends on the strength of the exchange interaction. We calculate the time evolution of the entanglement between the injected electron and the molecular magnet. It is found that the entanglement oscillates in time and the oscillations are closely related to the changes in the spins. The study provides an estimation of the feasibility of the encoding and read-out by using the polarization of the molecular magnets and the injected electrons.

Electron paramagnetic resonance study of the nuclear spin dynamics in an AlAs quantum well

JETP Letters ◽  
2016 ◽  
Vol 104 (12) ◽  
pp. 838-841 ◽  
Author(s):  
A. V. Shchepetilnikov ◽  
D. D. Frolov ◽  
Yu. A. Nefyodov ◽  
I. V. Kukushkin ◽  
L. Tiemann ◽  
...  
Keyword(s):  
Electron Paramagnetic Resonance ◽  
Quantum Well ◽  
Nuclear Spin ◽  
Spin Dynamics ◽  
Electron Paramagnetic Resonance Study ◽  
Paramagnetic Resonance ◽  
Electron Paramagnetic
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