Topological phase transition in antisymmetric Lotka-Volterra doublet chain
We present the emergence of topological phase transition in the minimal model of two-dimensional rock-paper-scissors cycle in the form of a doublet chain. The evolutionary dynamics of the doublet chain is obtained by solving the anti-symmetric Lotka-Volterra equation. We show that the mass decays exponentially towards edges and robust against small perturbation in the rate of change of mass transfer, a signature of a topological phase. For one of the configuration of our doublet chain, the mass is transferred towards both edges and the bulk is gaped. Further, we confirm this phase transition within the framework of topological band theory. For this, we calculate the winding number, which change from zero to one for trivial and nontrivial topological phases, respectively.
Authors
- Chittaranjan Hens (ORCID: https://orcid.org/0000-0003-1971-089X)
- Abhishek Deshpande (ORCID: https://orcid.org/0000-0001-5522-2995)
- Rukmani Bai
- Sirshendu Bhattacharyya (ORCID: https://orcid.org/0000-0002-7773-530X)
- Ujjwal Shekhar (ORCID: https://orcid.org/0009-0002-2024-7206)
- Sourin Chatterjee (ORCID: https://orcid.org/0009-0009-2869-8395)
Institutions
- University of Stuttgart (DE)
- Leibniz University Hannover (DE)
- Indian Institute of Science Education and Research Kolkata (IN)
- International Institute of Information Technology (IN)
- Aix-Marseille Université (FR)
- Institut de Neurosciences des Systèmes (FR)
- Center for Integrated Quantum Science and Technology (DE)
Publication Details
- Journal
- Physical review. E
- Published
- 2025-02-20
- DOI
- https://doi.org/10.1103/physreve.111.l022203
- Citations
- 1
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 1.25
Funders
- Deutsche Forschungsgemeinschaft