BYU

Abstract by Ty Beus

Personal Infomation


Presenter's Name

Ty Beus

Co-Presenters

None

Degree Level

Doctorate

Co-Authors

None

Abstract Infomation


Department

Physics and Astronomy

Faculty Advisor

Manuel Berrondo

Title

Quantum Dynamic Control of a Time Dependent Mass Parametric Oscillator via Lie Algebra Representation

Abstract

The Generalized Caldirola Kanai system is an oscillator subject to the time dependent manipulation of both its frequency and mass. Here, using Lie Algebra representation techniques we analyze how to completely control this system using an arbitrary parameter variation coupled with times of rest. Specifically, we can control the squeezing of coherent states using this procedure. Furthermore, it is found that any perturbation on this system can be reversed by repeating that perturbation at an opportune time.