Long-range entangled zero-mode state in a non-Hermitian lattice

TL;DR

This paper demonstrates that in non-Hermitian lattices, zero modes can form long-range entangled states at exceptional points, differing from Hermitian systems, with potential for high-fidelity dynamic generation.

Contribution

It provides an exact solution and numerical evidence for long-range entangled zero modes in non-Hermitian systems at EPs, highlighting a novel quantum state.

Findings

Zero modes in non-Hermitian systems can be long-range entangled at EPs.

Numerical simulations confirm high-fidelity dynamic generation of these states.

Distinct behavior from Hermitian zero modes in finite systems.

Abstract

In contrast to a Hermitian system, in which zero modes are usually degenerate and localized edge state in the thermodynamic limit, the zero mode of a finite non-Hermitian system can be a single nontrivial long-range entangled state at the exceptional point (EP). In this work, we demonstrate this feature with a concrete example based on exact solutions. Numerical simulations show that the entangled state can be generated through the dynamic process with a high fidelity.