Creating Entanglement Using Integrals of Motion

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.

5 pages, 3 figures

References in corpus (2)

• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Trigonometric Cherednik algebra at critical level and quantum many-body problems

Cited by in corpus (4)

• One-dimensional mixtures of several ultracold atoms: a review
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• The dynamics of digits: Calculating pi with Galperin's billiards
• Mass-imbalanced atoms in a hard-wall trap: an exactly solvable model with emergent $D_6$ symmetry