Work

UniqueNESS: graph theory approach to the uniqueness of non-equilibrium stationary states of the Lindblad master equation

Year: 2026

Type: article

Abstract: The dimensionality of kernels for Lindbladian superoperators is of physical interest in various scenarios out of equilibrium, for example in mean-field methods for driven-dissipative spin lattice models that give rise to phase diagrams with a multitude of non-equilibrium stationary states in specific parameter regions. We show that known criteria established in the literature for unique fixpoints of the Lindblad master equation can be better treated in a graph-theoretic framework via a focus on the connectivity of directed graphs associated to the Hamiltonian and jump operators.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ae5bd5

Authors: Martin Seltmann, Berislav Buča

Institutions: University of Copenhagen, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Physique Théorique et Modèles Statistiques

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: Villum Fonden, Agence Nationale de la Recherche