Entangled Phase States via Quantum Beam Splitter

TL;DR

This paper investigates how a quantum beam splitter entangles temporally stable phase states derived from generalized Weyl--Heisenberg algebras, revealing dependencies on Hilbert space dimension and stability parameters.

Contribution

It introduces an analytical study of entanglement in phase states generated by a beam splitter, linking entanglement to algebraic and stability parameters.

Findings

Entanglement depends on Hilbert space dimension.

Entanglement is influenced by the stability parameter.

Evolution of entangled states is analyzed.

Abstract

We study the entanglement effect of beam splitter on the temporally stable phase states. Specifically, we consider the eigenstates (phase states) of an unitary phase operator resulting from the polar decomposition of ladder operators of generalized Weyl--Heisenberg algebras possessing finite dimensional representation space. The linear entropy that measures the degree of entanglement at the output of the beam splitter is analytically obtained. We find that the entanglement is not only strongly dependent on the Hilbert space dimension but also quite related to strength the parameter ensuring the temporal stability of the phase states. Finally, we discuss the evolution of the entangled phase states.