5 papers
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…
Duality between the level statistics of Hermitian and non-Hermitian random matrices
Ze Chen, Zhenyu Xiao, Yifei Liu +1
Random matrix theory describes complex quantum systems statistically, with symmetry as its organizing principle. We uncover an exact duality between the level statistics of Hermiti…
Anomalous entanglement scaling from eigenvector nonorthogonality in critical non-Hermitian free fermions
Zhenyu Xiao, Shinsei Ryu
Entanglement carries universal content that labels phases and critical points. We study the entanglement entropy of the steady states of critical non-Hermitian free-fermion chains.…
Diffusive Dynamics of Nonstabilizerness
Zhenyu Xiao, Shinsei Ryu
Symmetries shape the quantum-information dynamics of many-body systems, but their effect on nonstabilizerness, the resource complementary to entanglement, is less understood. We co…
Non-Hermitian delocalization in 1D via emergent compactness
Liang-Hong Mo, Zhenyu Xiao, Roderich Moessner +1
Potential disorder in 1D leads to Anderson localization of the entire spectrum. Upon sacrificing hermiticity by adding non-reciprocal hopping, the non-Hermitian skin effect compete…