Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets

Autor:	Mu, Sen, Gong, Jiangbin, Lemarié, Gabriel
Rok vydání:	2023
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Quantum Gases Condensed Matter - Statistical Mechanics Nonlinear Sciences - Chaotic Dynamics Quantum Physics
Zdroj:	Phys. Rev. Lett. 132, 046301 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.132.046301
Popis:	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. Comment: 5 pages + Sup. Mat., 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.08272 Zobrazit plný text záznamu View this record from Arxiv