Hyper-entangling mesoscopic bound states

TL;DR

This paper predicts that binary collisions of mesoscopic bound states in Bose-Einstein condensates can generate hyper-entanglement in spatial and atom number degrees of freedom, revealing complex quantum coherence effects.

Contribution

It demonstrates, through quantum field simulations, that non-integrable interactions lead to hyper-entanglement in soliton collisions, a novel phenomenon in many-body quantum systems.

Findings

Hyper-entanglement occurs after soliton collisions under certain conditions.

The effect links non-linear dynamics with quantum coherence.

Post-collision states challenge existing entanglement criteria for identical particles.

Abstract

We predict hyper-entanglement generation during binary scattering of mesoscopic bound states, solitary waves in Bose-Einstein condensates containing thousands of identical Bosons. The underlying many-body Hamiltonian must not be integrable, and the pre-collision quantum state of the solitons fragmented. Under these conditions, we show with pure state quantum field simulations that the post-collision state will be hyper-entangled in spatial degrees of freedom and atom number within solitons, for realistic parameters. The effect links aspects of non-linear systems and quantum-coherence and the entangled post-collision state challenges present entanglement criteria for identical particles. Our results are based on simulations of colliding quantum solitons in a quintic interaction model beyond the mean-field, using the truncated Wigner approximation.