Manipulating orbital angular momentum entanglement by using the Heisenberg Uncertainty principle

TL;DR

This paper presents a theoretical approach to manipulate orbital angular momentum entanglement using the Heisenberg Uncertainty principle, focusing on quantum position correlations and pump cone state control.

Contribution

It introduces a novel method to control OAM entanglement by adjusting pump cone radius, crystal length, and pump OAM, based on the Heisenberg Uncertainty principle.

Findings

OAM entanglement can be manipulated via pump cone radius.

Control of entanglement through crystal length and pump OAM.

Enhanced understanding for high-dimensional quantum information applications.

Abstract

Orbital angular momentum entanglement is one of the most intriguing topics in quantum physics. A broad range of research have been dedicated either to unravel its underlying physics or to expand the entanglement dimensions and degrees. In this paper, we present a theoretical study on the orbital angular momentum entanglement by employing the Heisenberg uncertainty principle to quantum position correlation within the azimuthal region. In this study, we decompose the pump light into a set of pump cone states characterized by their radii. The OAM entanglement can be manipulated by controlling the radius of the pump cone state, the length of the nonlinear crystal and the OAM carried by the pump field,which is followed by a detailed discussion. We expect that our research will bring us a deeper understanding of the OAM entanglement, and will do help to the high-dimensional quantum information tasks based on OAM entanglement.