Van Winter Memorial Lecture: Quantum Revivals and the Modular Group

Date: 
04/07/2016 - 4:00pm to 5:00pm
Location: 
CP320
Speaker(s) / Presenter(s): 
Dr. John Cardy (University of Oxford and University of California, Berkeley)

If we start with a quantum system in a particular state and let it evolve undisturbed according to the rules of quantum mechanics, usually it will not return to its initial state. However, there are exceptions, for example a simple harmonic oscillator. More generally the existence of such quantum revivals is associated with an infinite-dimensional algebra which generates the spectrum of the hamiltonian. Important examples are rational conformal field theories in two and higher dimensions. I discuss these in detail and show how an action of the modular group implies a complicated time-dependence for the return amplitude, including incomplete revivals at all rational multiples of the fundamental frequency.

For more information on this and previous van Winter Memorial Lectures, please visit https://math.as.uky.edu/van-winter

 

Refreshments will be served in CP 179 at 3:45 PM

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