Stable real-energy spectral dynamics with topological transitions and non-Hermitian many-body localization

Author:

Shujie Cheng, Xixi Feng, Wen Chen, Niaz Ali Khan, Gao Xianlong

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn)

journal:

date:

2023-06-14 16:00:00

Abstract

In this work, the interplay among non-Hermiticity, quasidisorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where the non-Hermiticity is induced by the non-reciprocal hoppings and the on-site gain and loss breaking the time-reversal symmetry. The energy spectra of the system are fully complex and the time evolution of the real part of the energy is dynamically stable. By means of the entanglement entropy and its dynamical evolution, as well as the inverse participation ratio, the many-body localization (MBL) is found in playing a key role on the stability of the dynamical behavior. Meanwhile, the nearest-neighbor level spacings statistics shows the MBL transition accompanied by the transition from the Ginibre distribution to the complex Poisson distribution, different from the one in the time-reversal invariant system. Moreover, the dynamical stability of the real part of the energy and the MBL transition can be characterized by the winding number. By the scaling exponent of the entanglement entropy, it is argued that the MBL transition in the complex energy spectrum system shall belong to a new university class.

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