Exact probability distributions of complex spacing ratios in non-Hermitian random matrices

arXiv:2609.35230 · cond-mat.dis-nn, math-ph, math.MP, quant-ph · Submitted 2026-09-28 · Read on arXiv

cond-mat.dis-nn, math-ph, math.MP, quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Benchmark — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Lindblad Dynamics — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• What We Talk About When We Talk About Dissipative Quantum Chaos
• Non-Hermitian Disordered Systems
• Spectral Density and Eigenvector Nonorthogonality in Complex Symmetric Random Matrices
• Exact joint eigenvalue densities of non-Hermitian random matrices are Calogero scattering states
• Duality between the level statistics of Hermitian and non-Hermitian random matrices
• Universal Eigenvector Statistics of Non-Hermitian Random Matrices

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