Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model

TL;DR

This paper investigates the dynamics of bound pairs and triples in an extended Hubbard model, revealing conditions for rapid transfer and perfect separation, with applications in entanglement creation.

Contribution

It demonstrates how resonant interactions enhance bandwidths, enabling fast, coherent separation of bound states with perfect success probability in both Bose and Fermi systems.

Findings

Bandwidths increase at resonant interaction strengths

Coherent separation success probability reaches unity

Application to entanglement generation without temporal control

Abstract

We study the formation and dynamics of the bound pair (BP) and bound triple (BT) in strongly correlated extended Hubbard model for both Bose and Fermi systems. We find that the bandwidths of the BP and BT gain significantly when the on-site and nearest-neighbor interaction strengths reach the corresponding resonant points. This allows the fast transfer and efficient coherent separation of the BP and BT. The exact result shows that the success probability of the coherent separation is unity in the optimal system. In Fermi system, this finding can be applied to create distant entanglement without the need of temporal control and measurement process.