2017/10/31 by Jie Li, Shi-Yao Zhu, Shi‐Yao Zhu · 15 citations
Computer Science · Engineering · Physics and Astronomy · #Bell state #Bell test experiments #Bell's theorem #Classical mechanics #EPR paradox #Mechanical and Optical Resonators #Optics #Optomechanics #Parity (physics) #Photonic and Optical Devices #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Resonator #quant-ph
paper · pdf · doi:10.1103/physreva.96.062115
published in Physical Review A 96(6) (American Physical Society) · More references added. To appear in PRA
arxiv created 2017/11/21 · openalex publication_date 2017/12/11 · arxiv updated 2017/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate under which conditions quantum nonlocal manifestations such as Einstein-Podolsky-Rosen steering or Bell nonlocality can manifest themselves even at the macroscopic level of two mechanical resonators in optomechanical systems. We adopt the powerful scheme of reservoir engineering, implemented by driving a cavity mode with a properly chosen two-tone field, to prepare two mechanical oscillators in an entangled state. We show that large and robust (both one-way and two-way) steering could be achieved in the steady state with realistic parameters. We analyze the mechanism of the asymmetric nature of steering in our system of a two-mode Gaussian state. However, unlike steering, a Bell nonlocality is present under much more stringent conditions. We consider two types of measurements, displaced parity and on-off detection, respectively. We show that for both the measurements the Bell violation requires very low environmental temperature. For the parity detection, a large Bell violation is observed only in the transient state when the mechanical modes decouple from the optical mode and with extremely small cavity losses and mechanical damping. However, for the on-off detection, a moderate Bell violation is found in the steady state and is robust against cavity losses and mechanical damping. Although a Bell violation with parity detection seems extremely challenging to demonstrate experimentally, the conditions required for violating Bell inequalities with the on-off detection are much less demanding.