Quantum Long-Range Networks

Introduction

Long-range interactions enable a wide range of novel scaling phenomena in the out-of-equilibrium behaviour of quantum systems. These dynamical phases are particularly relevant to quantum computation as they feature enhanced coherent properties and fast spreading of quantum correlations.

Challenges in Description

Currently, long-range interacting systems evade description in terms of the conventional many-body theory toolbox due to their high connectivity and the appearance of metastable states, which pose a formidable challenge to state-of-the-art numerical simulations.

QLR-Net Overview

QLR-Net hinges on the construction of a unified tool, exemplified in terms of a prototypical many-body theory model, which reproduces the spectral properties of long-range interactions in a modular structure amenable to extensive numerical investigations.

Focus Areas

Then, the project will focus on the following aspects:

1. The spreading of quantum correlations and entanglement
2. Anomalous dynamics and ergodicity breaking
3. Universal quasistatic dynamics
4. Dynamical phase transitions
5. Pre-thermal phases
6. Universal defect formation

The QLR-Net approach is organized in such a way to provide both basic intuition and formal understanding while making quantitative predictions for scaling phenomena that can be realized in experiments.

Paths to New Physics

The study of quantum long-range networks will provide at least two solid paths to uncover new physics:

1. First, by reproducing the low-energy physics of long-range interactions in a system with “reduced” connectivity, it will give access to novel phenomena, which shall also appear in fully-connected long-range interacting systems.
2. Secondly, it will provide quantum many-body theory with a novel toolbox to understand critical phenomena in non-homogeneous systems and their role as a source of fresh and vital problems, which could be realized in atomic, molecular, and optical experiments.

Conclusion

QLR-Net will open a new era of many-body theory, where novel dynamical phases are realized by tuning the low-energy property of interacting systems.