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Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
09/04
2023
Seminar
- Title Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
- Speaker Mu, Sen （National University of Singapore）
- Date 14:00 Sept. 4, 2023
- Venue 6620, South Building
Abstract
We identify the key features of Kardar-Parisi-Zhang universality class in the fluctuations of the wave density logarithm, in a two-dimensional Anderson localized wave packet. In our numerical analysis, the fluctuations are found to exhibit an algebraic scaling with distance characterized by an exponent of 1/3, and a Tracy-Widom probability distribution of the fluctuations. Additionally, within a directed polymer picture of KPZ physics, we identify the dominant contribution of a directed path to the wave packet density and find that its transverse fluctuations are characterized by a roughness exponent 2/3. Leveraging on this connection with KPZ physics, we verify that an Anderson localized wave packet in 2D exhibits a stretched-exponential correction to its well-known exponential localization. (arXiv:2306.08272)
Bio:
Mu Sen, a post-doc working with Prof Jiangbin Gong at National University of Singapore. Recently working on the Kardar-Parisi-Zhang physics in Anderson localization in 2D, e.g. https://arxiv.org/abs/2306.08272.
Invitor：
Chu-Shun Tian