Creating Entanglement Using Integrals of Motion

TL;DR

This paper introduces a quantum system called a quantum Galilean cannon, demonstrating how conservation laws can generate entanglement among particles and proposing a highly sensitive quantum sensor based on this principle.

Contribution

It presents a novel quantum many-body system with specific mass ratios that prevents classical and quantum chaos, and proposes a new quantum sensor leveraging entanglement for enhanced sensitivity.

Findings

Initial states can evolve into entangled states between heavy and light particles.

The proposed sensor achieves a sensitivity scaling of rom or N_total atoms.

The system is realizable with bosonic soliton trains with specific mass ratios.

Abstract

A quantum Galilean cannon is a 1D sequence of $N$ hard-core particles with special mass ratios, and a hard wall; conservation laws due to the reflection group $A_{N}$ prevent both classical stochastization and quantum diffraction. It is realizable through specie-alternating mutually repulsive bosonic soliton trains. We show that an initial disentangled state can evolve into one where the heavy and light particles are entangled, and propose a sensor, containing $N_{\text{total}}$ atoms, with a $\sqrt{N_{\text{total}}}$ times higher sensitivity than in a one-atom sensor with $N_{\text{total}}$ repetitions.