Classical non-relativistic fractons

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• Abhishodh Prakash, University of Oxford
• Thursday 11 May 2023, 13:15-14:30
• Theory Library.

If you have a question about this talk, please contact Dr Hannah Price.

Symmetries constrain the dynamics of classical point particle systems by restricting the way the system explores phase-space. In this talk, I will consider the effect of dipole-conservation symmetry and show that its effect is unusual compared to other well-studied symmetries. This can be seen by studying trajectories of few particle systems governed by the simplest symmetry-compatible physical Hamiltonians- particles have an asymptotic tendency to become immobile seemingly violating Liouville’s theorem, exhibit qualitatively novel types of regular and chaotic trajectories and do not conform to the expectations of how velocities, momenta and energy should related. I will conclude by commenting on quantization, many-body effects and how these stories are related to the ongoing study of `fractons’. This talk is based on results from an upcoming work with Shivaji Sondhi and Alain Goriely.

This talk is part of the Theoretical Physics Seminars series.

This talk is included in these lists:

• Bham Talks
• Theoretical Physics Seminars
• Theory Library
• What's on in Physics?

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