Keywords

Quantum, Optics, Kets, Lie, Algebra, Wei, Norman, Jaynes, Cummings

Abstract

In this paper we aim to explore the dynamics and overall solvability of the Jaynes-Cummings \& Jaynes-Cummings-Like models. As a lens to understand these dynamics, we focused on cases where the parameters of the system were made time-dependent. All previous work on solving the dynamics of the Jaynes-Cummings models has relied heavily on the use of differential methods and setting the parameters as time-independent constants which were zero or one. To account for this, we utilized the Wei-Norman method which allowed us to analytical solve the time-dependent Hamiltonian. Through the use of this method, we can understand the more general characteristics of the dynamics associated with the Jaynes-Cummings model. This research related back to the field of Quantum information and control as the model highlights interactions with qubits and our time-dependent parameters can force certain transitions.

Description

This paper was completed during the 2017 Research Experiences for Undergraduates in Physics (REU) program. More information about this program can be found here.

Document Type

Report

Publication Date

2017-08-18

Language

English

College

Physical and Mathematical Sciences

Department

Physics and Astronomy

University Standing at Time of Publication

Junior

Course

REU summer research program

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