# Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains

## TL;DR

This paper presents exact and numerical phase diagrams for non-Hermitian interacting Kitaev chains, revealing how non-Hermiticity affects topological phases and degeneracies in complex quantum systems.

## Contribution

It provides the first comprehensive phase diagrams for non-Hermitian interacting Kitaev chains, including exact phase boundaries and exploration beyond solvable regimes.

## Key findings

- Hermitian phases can disappear with increased non-Hermitian effects
- Non-Hermitian topological degeneracy can persist beyond solvable regimes
- The work offers a detailed characterization of non-Hermitian topology in interacting systems

## Abstract

Many-body interactions give rise to the appearance of exotic phases in Hermitian physics. Despite their importance, many-body effects remain an open problem in non-Hermitian physics due to the complexity of treating many-body interactions. Here, we present a family of exact and numerical phase diagrams for non-Hermitian interacting Kitaev chains. In particular, we establish the exact phase boundaries for the dimerized Kitaev-Hubbard chain with complex-valued Hubbard interactions. Our results reveal that some of the Hermitian phases disappear as non-Hermiticty is enhanced. Based on our analytical findings, we explore the regime of the model that goes beyond the solvable regime, revealing regimes where non-Hermitian topological degeneracy remains. The combination of our exact and numerical phase diagrams provides an extensive description of a family of non-Hermitian interacting models. Our results provide a stepping stone toward characterizing non-Hermitian topology in realistic interacting quantum many-body systems.