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cond-mat.stat-mech2026
Universal Eigenvector Statistics of Non-Hermitian Random Matrices
Ze Chen, Zhenyu Xiao, Shinsei Ryu
Eigenvector overlaps quantify nonorthogonality and govern the response and dynamics of non-Hermitian systems. We extend the universality of non-Hermitian random matrices to the sta…
cond-mat.stat-mech2026
Exact joint eigenvalue densities of non-Hermitian random matrices are Calogero scattering states
Zhenyu Xiao, Ze Chen, Yifei Liu +1
Determining exact joint eigenvalue densities is central to random matrix theory. We solve this long-standing problem for non-Hermitian matrices with transposition symmetry (complex…
cond-mat.stat-mech2026
Duality between the level statistics of Hermitian and non-Hermitian random matrices
Ze Chen, Zhenyu Xiao, Yifei Liu +1
The complex spectral statistics of non-Hermitian random matrices provide a standard diagnostic of dissipative quantum chaos. Yet an analytical understanding of how symmetry enriche…