The paper establishes rigorous lower bounds on eigenvector localization lengths for power-law random band matrices in four regimes of the decay exponent α, verifying a physical conjecture via new resolvent techniques.
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Derives explicit formulas for mixed spectral moments of complex and symplectic non-Hermitian random matrices in terms of orthogonal polynomial norms, with large-N asymptotics matching elliptic and non-Hermitian Marchenko-Pastur laws.
The paper reviews spectral properties of operators for open quantum evolution and recent theoretical and experimental work on distinguishing chaotic from integrable dissipative quantum systems.
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Localization Lengths of Power-Law Random Band Matrices
The paper establishes rigorous lower bounds on eigenvector localization lengths for power-law random band matrices in four regimes of the decay exponent α, verifying a physical conjecture via new resolvent techniques.
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Spectral moments of complex and symplectic non-Hermitian random matrices
Derives explicit formulas for mixed spectral moments of complex and symplectic non-Hermitian random matrices in terms of orthogonal polynomial norms, with large-N asymptotics matching elliptic and non-Hermitian Marchenko-Pastur laws.
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What We Talk About When We Talk About Dissipative Quantum Chaos
The paper reviews spectral properties of operators for open quantum evolution and recent theoretical and experimental work on distinguishing chaotic from integrable dissipative quantum systems.