$\mathcal{PT}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective

TL;DR

This paper reviews the methodologies used to analyze $ ext{PT}$-symmetric, non-Hermitian quantum many-body systems, highlighting recent advances and challenges in the field.

Contribution

It provides a comprehensive methodological perspective on studying $ ext{PT}$-symmetric non-Hermitian quantum many-body physics, integrating various theoretical approaches.

Findings

Summarizes key theoretical tools for non-Hermitian systems

Identifies challenges in modeling $ ext{PT}$-symmetry in many-body contexts

Highlights recent progress in understanding phase transitions

Abstract

We review the methodology to theoretically treat parity-time- ($\mathcal{PT}$-) symmetric, non-Hermitian quantum many-body systems... (For the full abstract see paper)