Wisconsin Quantum Institute

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Events on Friday, May 6th, 2022

The topology of tuning a non-Hermitian instrument: knots, braids, and exceptional points
Time: 3:30 pm
Place: 2241 Chamberlin Hall
Speaker: Jack Harris, Yale
Abstract: 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-reciprocal elements with loss (or gain) have provided a number of surprises in recent years. My talk will describe how these systems are naturally connected to braid groups, knot theory, and other topological structures. I will give a pedagogical introduction to this topic (with lots of pictures!) and will present measurements of these phenomena in a cavity optomechanical system.
Host: Shimon Kolkowitz
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