JCMS: Tuneable universality for quantum technology

by Prof. Nicolo Defenu (ETH Zurich)

Tuesday 25 Feb 2025, 14:15 → 15:30 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Abstract: The concept of universality has profoundly influenced our understanding of many-body physics, primarily within homogeneous systems, where the scaling of lattice systems can be described by continuous $\varphi^{4}$-theories in integer Euclidean dimension. In this talk, we explore universality on a non-homogeneous graph, specifically the long-range diluted graph (LRDG). Our analysis reveals that the scaling theory of such systems is governed by a single parameter, the spectral dimension $d_{s}$, which acts as the control parameter in complex geometries. The LRDG enables continuous tuning of the spectral dimension to both integer and non-integer values, allowing us to determine universal exponents as continuous functions of the dimension. The importance of having tuneable universal scaling in quantum technology will be also discussed.