Classification of Topological Phases in One Dimensional Interacting Non-Hermitian Systems and Emergent Unitarity
A/Prof. Wei-Qiang Chen
Southern University of Science and Technology

Topological phases in non-Hermitian systems have become a fascinating subject recently. In this paper, we attempt to classify topological phases in 1D interacting non-Hermitian systems. We begin with the non-Hermitian generalization of Su-Schrieffer-Heeger (SSH) model and discuss its many body topological Berry phase, which is well defined for any interacting quasi-Hermitian systems (non-Hermitian systems that have real energy spectrum). We then demonstrate that the classifications of topological phases for quasi-Hermitian systems are exactly the same as their Hermitian counterparts. Moreover, we find that unitarity can even emerge for fixed point partition function describing topological phases in 1D non-Hermitian systems with local interactions. Thus we conjecture that for generic 1D interacting non-Hermitian systems, the classification of topological phases are exactly the same as Hermitian systems.

About the Speaker


2019-11-28 2:00 PM
Room: A403 Meeting Room
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