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Speaker : Anthony Bloch
Department of Mathematics,
University of Michigan
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Title:
Dynamics and Control of Oscillators and Spins
Interacting with their Environment
Abstract:
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.
I will describe oscillators coupled to heat baths with various kinds
of coupling and the 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 squeezed states.
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 Eberly Law model of coupled spin harmonic oscillator
systems.
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