Exact joint eigenvalue densities of non-Hermitian random matrices are Calogero scattering states

arXiv:2609.00164 · cond-mat.stat-mech, cond-mat.mes-hall, quant-ph · Submitted 2026-08-31 · Read on arXiv

cond-mat.stat-mech, cond-mat.mes-hall, quant-ph

Submitted: 2026-08-31

Updated: 2026-09-25

Terminology

• Trace — 6× in this paper · explained in 2 episodes
• Homogeneity — 5× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Random Matrix Theory (RMT) — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Spectral form factor in chaotic, localized, and integrable open quantum many-body systems
• Experimental Detection of Dissipative Quantum Chaos
• Non-Hermitian Disordered Systems
• Spectral Density and Eigenvector Nonorthogonality in Complex Symmetric Random Matrices
• Interpolating non-Hermitian universality classes A and AI$^\dagger$: eigenvalue density and transition regime
• Quantum chaotic systems: a random-matrix approach
• An introduction to symmetric spaces

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