Statistics of complex dissipative systems
Maciej M. Duras
TL;DR
This paper investigates the statistical properties of complex dissipative quantum systems using non-Hermitean random matrices, revealing stable eigenenergy structures and drawing analogies with charge systems.
Contribution
It introduces a novel analysis of dissipative quantum systems through complex Ginibre ensemble matrices, highlighting eigenenergy stability and charge analogies.
Findings
Eigenenergies form stable structures
Analogy between eigenenergy statistics and electrical charges
Insights into dissipative quantum system behavior
Abstract
A quantum statistical random system with energy dissipation is studied. Its statistics is governed by random complex-valued non-Hermitean Hamiltonians belonging to complex Ginibre ensemble of random matrices. The eigenenergies of Hamiltonians are shown to form stable structure. Analogy of Wigner and Dyson with system of electrical charges is drawn.
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Taxonomy
TopicsQuantum Mechanics and Applications