DATE2024.01.24 #Press Releases

Uncovering the Effects of Topology in Relaxing Stochastic Dynamics

Disclaimer: machine translated by DeepL which may contain errors.

--Toward elucidating the topological design principles of classical systems--

The University of Tokyo

RIKEN

Japan Science and Technology Agency (JST)

Summary of Presentation

A research group consisting of graduate students Taro Sawada, Kazuki Sone, and Takahiro Sagawa of the Department of Applied Physics, Graduate School of Engineering, the University of Tokyo, RIKEN Hakubi Research Team Leader Tatsushi Hamasaki of the RIKEN Exploratory Research Division (Senior Researcher, RIKEN Mathematical Innovation Program), Associate Professor Yuto Ashida of the Department of Physics, Graduate School of Science, the University of Tokyo The group has theoretically clarified that the relaxation time and relaxation properties correspond to the topological index for the stochastic dynamics of a one-dimensional moving classical system. These relationships indicate a deep connection between the "winding number," a topological index introduced in this study, and stochastic dynamics. These results are the first clarification of topological properties specific to stochastic dynamics in classical systems, which have not been understood in existing studies of non-Hermitian systems, and are expected to lead to design principles for thermodynamic devices that are not affected by disturbances caused by impurities, etc., and to clarification of the characteristics of stochastic dynamics in biological systems. This research is expected to lead to the elucidation of the design principles of thermodynamic devices that are not affected by disturbances caused by impurities, etc., and to the clarification of the characteristics of stochastic dynamics in vivo.

Figure: Numerical verification of relaxation phenomena suggested to correspond to topology in this study.

The research results were published in Physical Review Letters on January 24, 2024 (Japan Standard Time).

For more information, please visit the website of Graduate School of Engineering, The University of Tokyo.^*Japanese

Journal

Journal name	Physical Review Letters
Title of paper	Role of Topology in Relaxation of One-Dimensional Stochastic Processes