GP2 - Birmingham Workshop Program: Modelling active matter dynamics via quantum walks on networks

Session Information

Location: Physics West 103 | School of Physics and Astronomy, University of Birmingham
Day: 1. Tuesday 21st April
Time: 17:00-18:00
Chairperson: N/A

Presentation Details

Presentation Type: Poster | 
Title: Modelling active matter dynamics via quantum walks on networks
Abstract: Active systems have the ability to convert energy from the environment into persistent directed motion giving rise to interesting non equillibrium phenomena. While transition phenomena has been well studied in classical active matter we want to see if similar behaviour can also emerge in quantum systems. We start with incoporating this phenomenon in a discrete-time quantum walk on a line by adding a tumble coin operator. DTQWs provide a versatile framework for studying quantum transport on complex networks, where entanglement emerge naturally from unitary dynamics. We analyse several network models, including Erdős–Rényi random graphs and Barabási–Albert scale-free networks and key structural properties such as clustering coefficients, and connectivity patterns are characterised. To quantify quantum correlations beyond the limitations of the conventional coin–walker entanglement, we employ the bipartite double cover (BDC) construction and introduce the source–target entanglement entropy as a graph-independent measure of coherence between directed edges. This framework enables a unified framework of entanglement across all graph strcutures and reveal how
network topology influences quantum correlations. Using singular value decomposition, we demonstrate that the source–target entanglement captures structural properties that are not accessible through coin–position picture of entanglement.

Presenter

Ms Pravy Prerana
Coventry University | United Kingdom

Authors

1. Pravy, Prerana | Centre for Fluid and Complex Systems, Coventry University Priory Street Coventry CV1 5FB United Kingdom
2. Wald, Sascha | Centre for Fluid and Complex Systems, Coventry University Priory Street Coventry CV1 5FB United Kingdom