Work

Photon-mediated non-Markovian dynamics in topological Riemannian nanospheres of B i 2 S e 3

Year: 2026

Type: article

Abstract: Considering the interaction of a photon in the vicinity of a Riemannian nanomanifold of the topological insulator B i 2 S e 3 , we report evidence of a non-Markovian measurement in terms of a cross-correlation between the measured spectrum and a simulated Markovian spectrum in the region of spectroscopic optics. The non-Markovian dynamics starting from the transverse absorption spectrum and the dielectric function is quantified, by solving the integro-differential equation associated with the memory kernel followed by a Laplace transform that expresses the dynamics in terms of the temperature and radius of the Riemann manifold. This approach allowed us to study the information flow between the quantum system and the quantification environment (nanosphere), without resorting to tracing distances between the two states of the open quantum system. Based on our observations, we theorise that torsion, curvature, and intrinsic properties in an n -manifold from the point of view of differential geometry are likely to influence the memory effects of topological open quantum systems in the second or third dimension, paving the way for further theoretical and experimental advancements.

Source: Heliyon

DOI: 10.1016/j.heliyon.2026.e44897

Authors: H. Triviño, F. Mesa, H.S. Ruiz

Institutions: Universidad de Antioquia, Fundación Universitaria Los Libertadores, University of Leicester

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

Funder: Engineering and Physical Sciences Research Council