Hyper-entangling mesoscopic bound states

Abstract

We predict hyper-entanglement generation by binary scattering of mesoscopic bound states, considering solitary waves in Bose-Einstein condensates containing thousands of identical Bosons. 
For it to occur, the underlying many-body Hamiltonian must not be integrable, and the pre-collision quantum state of the solitons needs to be fragmented.
Under these conditions, we show 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.