Modeling Quantum Optomechanical STIRAP

TL;DR

This paper explores quantum optomechanical STIRAP for creating entangled states between mechanical modes, demonstrating high-fidelity entanglement achievable with current cryogenic technology and proposing an interferometric method to measure it.

Contribution

It analytically and numerically investigates fractional STIRAP in optomechanical systems, revealing methods to generate and quantify mechanical entanglement.

Findings

Fractional STIRAP can generate mechanical Bell states from single phonon states.

High-fidelity entanglement is achievable with cryogenic cooling and current devices.

A protocol using time-reversed fractional STIRAP is proposed to measure entanglement.

Abstract

Quantum optomechanical STIRAP (Stimulated Raman Adiabatic Passage) is investigated for a system of two mechanical modes coupled to an optical mode. We show analytically that in a system without loss, fractional STIRAP can generate a mechanical Bell state from a single phonon Fock state of one of the mechanical modes with the other mechanical mode in the vacuum state, and a product state from a coherent state. Relative phases between Fock basis components in the final state of STIRAP are determined by the phonon-number parity of the initial state. Furthermore, the system is numerically studied to determine the effects of dissipation, and it is concluded that high-fidelity entanglement can be achieved via fractional STIRAP using state-of-the-art cryogenic cooling and mechanical devices. Finally, an interferometric protocol using time-reversed fractional STIRAP is proposed to quantify entanglement between two mechanical modes.