27 citations · 121 across the 23 of their papers we have counts for
23 papers
Mass generation in graphs
Ioannis Kleftogiannis, Ilias Amanatidis
We demonstrate a mechanism for the production of massive excitations in graphs. We treat the number of neighbors at each vertex in the graph (degree) as a scalar field. Then we int…
The principle of least action for random graphs
Ioannis Kleftogiannis, Ilias Amanatidis
We study the statistical properties of the physical action for random graphs, by treating the number of neighbors at each vertex of the graph (degree), as a scalar field. For e…
Quantum chaos, localization and phase transitions in random graphs
Ioannis Kleftogiannis, Ilias Amanatidis
The energy level statistics of uniform random graphs are studied, by treating the graphs as random tight-binding lattices. The inherent random geometry of the graphs and their dyna…
From quantum to classical via crystallization
Ioannis Kleftogiannis, Ilias Amanatidis
We show that classical states can emerge as pure ground state solutions of a quantum many-body system. We use a simple Hubbard model in 1D with strong short-range interactions and…
Violation of Bell's inequalities in uniform random graphs
Ioannis Kleftogiannis, Ilias Amanatidis
We demonstrate that quantum correlations can emerge from the statistical correlations of random discrete models, without an a priori assumption that the random models are quantum m…
Emergent spacetime from purely random structures
Ioannis Kleftogiannis, Ilias Amanatidis
We examine the fundamental question whether a random discrete structure with the minimal number of restrictions can converge to continuous metric space. We study the geometrical pr…