scholarly journals Quantum chemistry on quantum computers: quantum simulations of the time evolution of wave functions under the S2 operator and determination of the spin quantum number S

2019 ◽  
Vol 21 (28) ◽  
pp. 15356-15361 ◽  
Author(s):  
Kenji Sugisaki ◽  
Shigeaki Nakazawa ◽  
Kazuo Toyota ◽  
Kazunobu Sato ◽  
Daisuke Shiomi ◽  
...  
Keyword(s):  
Time Evolution ◽  
Quantum Number ◽  
Quantum Circuit ◽  
Wave Functions ◽  
Quantum Computers ◽  
Phase Estimation ◽  
Quantum Simulations ◽  
Spin Quantum ◽  
Spin Quantum Number

A quantum circuit to simulate time evolution of wave functions under an S2 operator is provided, and integrated it to the quantum phase estimation circuit to calculate the spin quantum number S of arbitrary wave functions on quantum computers.

Study of Magnetism of Two-Dimensional Ferromagnetic Graphene

2012 ◽  
Vol 601 ◽  
pp. 89-93
Author(s):  
Bin Zhou Mi ◽  
Yong Hong Xue ◽  
Huai Yu Wang ◽  
Yun Song Zhou ◽  
Xiao Lan Zhong
Keyword(s):  
Curie Temperature ◽  
Quantum Number ◽  
Spin Wave ◽  
Wave Energy ◽  
Spontaneous Magnetization ◽  
Exchange Parameter ◽  
Magnetic Nanomaterials ◽  
Two Dimensional ◽  
Spin Quantum ◽  
Spin Quantum Number

In this paper, the magnetic properties of ferromagnetic graphene nanostructures, especially the dependence of the magnetism on finite temperature, are investigated by use of the many-body Green’s function method of quantum statistical theory. The spontaneous magnetization increases with spin quantum number, and decreases with temperature. Curie temperature increases with exchange parameter J or the strength K2 of single-ion anisotropy and spin quantum number. The Curie temperature TC is directly proportional to the exchange parameter J. The spin-wave energy drops with temperature rising, and becomes zero as temperature reaches Curie temperature. As J(p,q)=0, ω1=ω2, the spin wave energy is degenerate, and the corresponding vector k=(p, q) is called the Dirac point. This study contributes to theoretical analysis for pristine two-dimensional magnetic nanomaterials that may occur in advanced experiments.

The Nuclear Spin Quantum Number of Si29 Isotope

1954 ◽  
Vol 22 (1) ◽  
pp. 147-147 ◽  
Author(s):  
Richard A. Ogg ◽  
James D. Ray
Keyword(s):  
Quantum Number ◽  
Nuclear Spin ◽  
Spin Quantum ◽  
Spin Quantum Number

scholarly journals Interplay between lattice topology, frustration, and spin quantum number in quantum antiferromagnets on Archimedean lattices

2018 ◽  
Vol 98 (22) ◽  
Author(s):  
D. J. J. Farnell ◽  
O. Götze ◽  
J. Schulenburg ◽  
R. Zinke ◽  
R. F. Bishop ◽  
...  
Keyword(s):  
Quantum Number ◽  
Quantum Antiferromagnets ◽  
Spin Quantum ◽  
Spin Quantum Number

Der effektive Spin als Modell zur Beschreibung von ESR- Hyperfeinspektren polykristalliner Systeme / The Effective Spin as a Model to describe ESR-Hyperfine Spectra of poly cry stalline Samples

1976 ◽  
Vol 31 (2) ◽  
pp. 123-127
Author(s):  
K. Dräger
Keyword(s):  
Quantum Number ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Theoretical Spectrum ◽  
Hamilton Operator ◽  
Effective Spin ◽  
Cubic Symmetry ◽  
Esr Spectrum ◽  
Spin Quantum ◽  
Spin Quantum Number

Abstract Paramagnetic ions with hyperfine interaction generally have an involved ESR-spectrum. For host lattices of cubic symmetry it will be shown that while going from single crystals to powdered systems the true spin quantum number S can be substituted by an effective spin quantum number S' = ½. Using an isotropic spin Hamilton operator the energy-levels and their eigenfunctions as well as the transition probabilities are calculated explitely.The model is then applied to the ESR-spectrum of manganese-doped polycrystalline CaO. The theoretical spectrum fits the experimental up to 2·10-5 and is in every respect comparable to results of the 3rd order perturbation theory. Above all the model reproduces the true values for the g-factor and the hyperfine coupling constant A as known from single crystal investigations. This is also verified for Mn2+ -ions on cubic sites of MgO and BaO.

Nuclear Dipolar Relaxation in Pure Solids

1970 ◽  
Vol 25 (10) ◽  
pp. 1459-1466 ◽  
Author(s):  
U. Haeberlen
Keyword(s):  
Quantum Number ◽  
Nuclear Spin ◽  
Close Agreement ◽  
Symmetry Axis ◽  
Nuclear Spins ◽  
Dipolar Relaxation ◽  
Spin Quantum ◽  
Spin Quantum Number ◽  
Static Part ◽  
Theoretical Results

Abstract Relaxation of the nuclear dipolar energy <HD> is considered. The static part of HD sets up an energy reservoir, and its dynamic part is taken as the predominant cause for the spinlattice relaxation. This situation may be realized in nature in such pure solids in which molecular reorientations are frequent. Relaxation steps in which the total nuclear spin quantum number does not change are treated in detail. They are found to involve always three nuclear spins. The theory is applied to solid benzene in which the molecules are assumed to reorient about their 6fold symmetry axis. Both intra- and intermolecular interactions need to be taken into account. The theoretical results obtained are in close agreement with recent measurements of van Steenwinkel.

Sign in / Sign up

Export Citation Format

Share Document