Simulating non-Hermitian many-body topological phases with giant atoms

Non-Hermitian many-body topological phases are drawing substantial attention due to their potential for novel quantum technology.

In particular, these phases hold promise for large-scale quantum computations, a technology with substantial scientific and economic impact. However, due to computational difficulties, it remains a remarkable challenge to investigate these phases. Quantum simulation offers a path to overcome this challenge.

Yet, efficient simulation of non-Hermitian many-body topological phases is absent.

In this project, I will address this gap by theoretically designing novel protocols to simulate non-Hermitian many-body topological phases with giant atoms, a newly prominent quantum optics platform.

Notably, giant atoms offer greater control over interactions compared to their smaller counterparts, thus making them versatile for quantum simulation.

To achieve the project's goal, I will first design a novel protocol for quantum simulation within the simplest regime of 2 giant atoms, and subsequently generalize it to an advanced protocol for simulating a non-Hermitian topological spin chain. I will perform the theoretical analyses combining many-body methods and quantum simulation methods.

This multidisciplinary approach will maximize the outcomes: i) a novel protocol for quantum simulation with giant atoms and ii) an efficient simulation of non-Hermitian many-body topological phases.

Consequently, this research project will open up an interdisciplinary research field between non-Hermitian many-body physics and giant atoms, and pave the way toward the long-term goal of realizing large-scale quantum computations.

My expertise in non-Hermitian many-body topology and my host's expertise in giant atoms are complementary for carrying out this project.

I will establish a detailed dissemination plan to maximize the impact of this project, and a detailed training and transfer plan to benefit the host group and to promote my career to the next level.