Measuring Exotic Entropy in Mesoscopic Systems

Explore the concept of measuring exotic entropy in mesoscopic systems through this comprehensive lecture. Delve into the fundamental role of entropy in physics and its significance in quantifying degrees of freedom in various systems. Examine how strong correlations in certain systems, such as topological superconductors and multi-channel Kondo systems, lead to the emergence of fractional entropy. Understand the importance of fractional entropy as a signature of nonlocal degrees of freedom, including Majorana zero modes and non-Abelian anyons. Investigate the challenges associated with direct entropy measurements in mesoscopic quantum systems and learn about a promising approach utilizing Maxwell relations to extract entropy changes from charge measurements. Discover a proposed method for detecting fractional entropy in two- and three-channel Kondo effects, corresponding to Majorana and Fibonacci zero modes, through charge occupation measurements of a metallic quantum dot system. Gain insights into this general protocol for directly extracting entropy from charge measurements in mesoscopic systems, opening new avenues for research in quantum physics and strongly correlated systems.

Cheolhee Han: Measuring exotic entropy in the mesoscopic systems