Three-Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility

Jennifer Houle; Dennis Sullivan; Ethan Crowell; Sean Mossman; Mark G. Kuzyk

doi:10.35840/2631-5068/6515

Three-Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility

Jennifer Houle
, Dennis Sullivan
, Ethan Crowell
, Sean Mossman
, Mark G. Kuzyk

Research output: Contribution to journal › Article › peer-review

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Abstract

A method is described to simulate the magnetic susceptibility of a quantum toroid with grating. This simulation is based on the direct implementation of the time-dependent Schrödinger equation in three dimensions. The expectation value of the quantum magnetic dipole operator is calculated as a function of the applied magnetic field strength of a time-oscillating magnetic field. These expectation values are used to calculate the linear and nonlinear magnetic susceptibility of a torus.

Original language	American English
Journal	International Journal of Magnetics of Electromagnetism
Volume	4
Issue number	1
DOIs	https://doi.org/10.35840/2631-5068/6515
State	Published - 2018
Externally published	Yes

Keywords

Quantum simulation
induced magnetic dipole
magnetic susceptibility
nonlinear optics

EGS Disciplines

Electrical and Computer Engineering

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Houle, Jenny (2018) Three-Dimensional Time Domain - SelWrks.pdfFinal published version, 1.63 MBLicense: Unspecified

Cite this

@article{0e9168ee927b4afe93f27429bba6aeac,

title = "Three-Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility",

abstract = " A method is described to simulate the magnetic susceptibility of a quantum toroid with grating. This simulation is based on the direct implementation of the time-dependent Schr{\"o}dinger equation in three dimensions. The expectation value of the quantum magnetic dipole operator is calculated as a function of the applied magnetic field strength of a time-oscillating magnetic field. These expectation values are used to calculate the linear and nonlinear magnetic susceptibility of a torus.",

keywords = "Quantum simulation, induced magnetic dipole, magnetic susceptibility, nonlinear optics",

author = "Jennifer Houle and Dennis Sullivan and Ethan Crowell and Sean Mossman and Kuzyk, \{Mark G.\}",

year = "2018",

doi = "10.35840/2631-5068/6515",

language = "American English",

volume = "4",

number = "1",

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TY - JOUR

T1 - Three-Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility

AU - Houle, Jennifer

AU - Sullivan, Dennis

AU - Crowell, Ethan

AU - Mossman, Sean

AU - Kuzyk, Mark G.

PY - 2018

Y1 - 2018

N2 - A method is described to simulate the magnetic susceptibility of a quantum toroid with grating. This simulation is based on the direct implementation of the time-dependent Schrödinger equation in three dimensions. The expectation value of the quantum magnetic dipole operator is calculated as a function of the applied magnetic field strength of a time-oscillating magnetic field. These expectation values are used to calculate the linear and nonlinear magnetic susceptibility of a torus.

AB - A method is described to simulate the magnetic susceptibility of a quantum toroid with grating. This simulation is based on the direct implementation of the time-dependent Schrödinger equation in three dimensions. The expectation value of the quantum magnetic dipole operator is calculated as a function of the applied magnetic field strength of a time-oscillating magnetic field. These expectation values are used to calculate the linear and nonlinear magnetic susceptibility of a torus.

KW - Quantum simulation

KW - induced magnetic dipole

KW - magnetic susceptibility

KW - nonlinear optics

U2 - 10.35840/2631-5068/6515

DO - 10.35840/2631-5068/6515

M3 - Article

SN - 2631-5068

VL - 4

JO - International Journal of Magnetics of Electromagnetism

JF - International Journal of Magnetics of Electromagnetism

IS - 1

ER -

Three-Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility

Abstract

Keywords

EGS Disciplines

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