Squeezed supermodes and cluster states based on modes with orbital angular momentum

TL;DR

This paper explores creating highly entangled quantum cluster states using modes with orbital angular momentum, employing supermodes to analyze and optimize the system's quantum degrees of freedom.

Contribution

It introduces a method to generate and analyze cluster states based on OAM modes, utilizing supermodes for a more efficient description of quantum entanglement.

Findings

Rich mode structure is generated in the cavity.

Conditions for solving the system analytically are identified.

Supermodes technique reveals the maximum entanglement potential.

Abstract

In this paper we discuss the possibility of building a linear cluster state based on modes with a certain orbital angular momentum (OAM). We show that in the system under consideration a field with a rich mode structure is generated in the cavity. We also analyze the conditions under which an infinite system of Heisenberg-Langevin equations describing the dynamics of intracavity fields can be shortened and solved analytically. To analyze the genuine number of quantum degrees of freedom, we use the supermodes technique. This approach allows us to build the most entangled cluster state.