7 papers
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…
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
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…
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…
Nonstabilizerness Mpemba Effects
Zhenyu Xiao, Hao-Kai Zhang, Shuo Liu
Quantum state preparation can be strikingly counterintuitive: the fastest route to a target state need not start from the apparently closest initial condition. We uncover such a qu…
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…