Date: Friday, December 08, 2017
Location: 1084 East Hall (4:10 PM to 5:00 PM)
Title: An Introduction to Classical and Quantum Kicked Rotor
Abstract: A classical kicked rotor is a generalization of a simple pendulum. It is simply a single particle restricted to a ring that is subjected to periodic 'kicks'. This system shows transition from regular dynamics to chaos by varying a single parameter. In this talk I will discuss the properties of the classical kicked rotor to understand its chaotic behavior. I will then contrast it with the properties of a quantum kicked rotor that is solved using Schrodinger's equation. As it turns out, there are stark differences in the dynamical properties of the classical and the quantum rotor, in particular, the quantum rotor is always well behaved. I will then briefly introduce a system of two coupled quantum rotors and explain how one starts to see the signature of the classical chaos emerging from this quantum system. In physics, understanding how the classical world that we see around us emerges from a 'wavy' quantum description is a very important question. I will introduce this classicalquantum correspondence through this simple model of classical and quantum kicked rotors.
Files:
Speaker: Tanvi Gujarati
Institution: University of Michigan
Event Organizer: Audra McMillan amcm@umich.edu
