Colloquium: Jack Harris: "Measuring the Knots and Braids of non-Hermitian Oscillators"

It may seem unlikely that rich mathematical structures still remain to be uncovered in small arrays of classical, linear oscillators. However, oscillators that combine non-reciprocity with loss (or gain) have provided a number of surprises in recent years. I will describe how these systems are naturally connected to braids, knots, and other topological structures. This will be a pedagogical introduction to this topic (with lots of pictures & videos!). I will also present measurements of these phenomena using a cavity optomechanical system, and describe their potential application in realizing novel control schemes.

Jack Harris, Professor, Yale University

Host: Andrew Geraci

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