Biorthogonal quench dynamics of entanglement and quantum geometry in -symmetric non-Hermitian systems
Phys. Rev. B 113, 174304 – Published 13 May, 2026
DOI: https://doi.org/10.1103/j1r7-82ft
Abstract
We explore the quench dynamics of -symmetric non-Hermitian systems by utilizing the biorthogonal formalism. We analyze quench dynamics of observable quantities, the quantum geometric tensor, and various entanglement quantities, including the entanglement entropy, the SVD entropy, and the Tu-Tzeng-Chang (TTC) entropy. Our results show that a sudden quench into a -broken phase generally leads to exponential growth in these quantities, driven by the biorthogonal density matrix's nonpositivity. In contrast to generic interacting systems, we observe a linear decay in the TTC entropy for noninteracting fermionic systems. This finding originates from the approximate spectral symmetry of the biorthogonal reduced density matrix, and we confirm our findings using the Yang-Lee and non-Hermitian XXZ models.
