Long Range Free Bosonic Models in Block Decimation Notation: Applications and Entanglement

TL;DR

This paper introduces a method combining Heisenberg equations and matrix product states to analyze long-range bosonic systems, revealing how scattering induces entanglement and proposing a scheme for generating highly entangled multi-particle states.

Contribution

It develops a novel approach to study long-range bosonic models and demonstrates how scattering can be used to generate entanglement, advancing quantum state engineering.

Findings

Long-range particle exchange affects bosonic dynamics.

Scattering in boson chains can produce entanglement.

Proposed scheme for creating highly entangled states.

Abstract

We study the effect of long range particle exchange in bosonic arrangements. We show that by combining the solution of the Heisenberg equations of motion with matrix product state representation it is possible to investigate the dynamics as well as the ground state while including particle exchange beyond next-neighbours sites. These ideas are then applied to study the emergence of entanglement as a result of scattering in boson chains. We propose a scheme to generate highly entangled multi-particle states that exploits collision as a powerful entangling mechanism.