Dynamics and Control
of Coupled Oscillators and Spins
Professor
Anthony Bloch
Mathematics Department
In this talk I will discuss various settings for
oscillator and spin dynamics and control. I will consider both classical and quantum
dynamics and the passage from reversible to irreversible behavior. In
particular I will describe
oscillators coupled to heat baths with various kinds of coupling and radiation
induced instability of gyroscopically stable oscillators in the
presence of these different couplings. In
addition I will discuss oscillator and spin squeezing via pulses and the
effects of a heat bath on the squeezedstates.
I
will also consider infinite limits of finite-dimensional oscillator-heat bath
systems and the role of Landau damping. Finally I will describe control
theoretic aspects of the Eberly Law model of coupled spin/harmonic oscillator
systems.
3:30 Ð 4:30 p.m.