TCM
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Max McGinley

 Max McGinley

Max McGinley

Member of Christ's College
PhD student in Prof Cooper's group

Office: 507 Mott Bld
Phone: +44(0)1223 7 61390
Email: mm2025 @ cam.ac.uk

TCM Group, Cavendish Laboratory
19 JJ Thomson Avenue,
Cambridge, CB3 0HE UK.

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Research

My research focusses on the properties of topologically non-trivial systems far from equilibrium.

Topologically distinct systems in equilibrium (at zero temperature) are understood to have ground states which cannot be continuously connected to each other without crossing some phase transition. These distinctions can be captured by topological invariants, e.g. the Chern number for non-interacting fermions in two dimensions. I have been investigating how these invariants behave when a system is driven out of equilibrium by driving, quenching, etc. and how this relates to the topology of the wavefunction.

I am also looking at how these non-equilibrium topological properties relate to physical observables. In particular, we ask whether topological invariants can be measured out of equilibrium, and how they relate to the dynamics of topological edge modes

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In Plain English

Generally speaking, `topology' is a branch of mathematics which is concerned with quantities that do not change when the system is smoothly deformed. For example, if you try to stretch and bend a doughnut shape without tearing the shape or gluing parts together, there will always be a hole in the middle, which makes it topologically different from a sphere

Similarly, physical systems can have features which do not change when we deform them. These features will naturally be highly robust to any imperfections that naturally arise in the real world, which makes them both theoretically interesting, and potentially practically useful. In my research, I ask whether these topological features can appear in systems which are dynamic, i.e. time-dependent, and what happens when we drive such systes externally.