I. Quantum Chaos and Fractal Uncertainty Principle
Time: 2017-06-01
Published By: He Liu
Speaker(s): Jin Long (Purdue University)
Time: 14:30-16:30 June 2, 2017
Venue: Room 9, Quan Zhai, BICMR
In this series of talks, we discuss recent development in quantum chaos via a new tool called Fractal Uncertainty Principle (FUP). The talks are based on joint work with Semyon Dyatlov.
Part 1: Introduction. Open Quantum Maps.
In quantum chaos, we study semiclassical limit of the quantization of a classical chaotic system. In this talk, we give a brief introduction of the topic of quantum chaos and discuss FUP in the simple setting of open quantum maps. In particular, we focus on open quantum baker's maps, which are quantizations of the open baker’s map on the torus and given by a family of subunitary matrices. Using FUP, we obtain quantative spectral gaps improving both the trivial gap and the pressure gap.
