University of Birmingham > Talks@bham > PIPS - Postgraduate Informal Physics Seminars > Introduction to Floquet Theory

Introduction to Floquet Theory

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If you have a question about this talk, please contact Rose Davies.

Often in quantum mechanics, we deal with systems without explicit time-dependence. However, systems with explicit time-dependence (‘driven systems’) are often interesting and useful. The technique we use to handle these is called Floquet theory.

In this approach, we calculate an expansion for the effective Hamiltonian operator that describes the dynamics of the system. The point of this is that, if we do things carefully, we can engineer the effective Hamiltonian to be of whatever form we like. We can hence simulate systems using appropriately-engineered driven ones. This is called Hamiltonian Engineering. We can also understand driven systems that are interesting in their own right, such as precessing spins in an NMR experiment.

In this talk, I will derive the general formalism for Floquet theory and show a couple of examples of its use. The first example is from a cold atoms experiment, a common platform for Hamiltonian engineering. The second is the area of Floquet topological insulators, where driven systems can display complex topological properties.

This talk is part of the PIPS - Postgraduate Informal Physics Seminars series.

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