Maximising optomechanical entanglement with optimal control. (28th March 2017)

• Record Type: Journal Article
• Authors: Stefanatos, Dionisis
• Is Part Of: Quantum science and technology. Volume 2:Number 1(2017)
• Publication Date: 2017-03-28
• Subjects: optomechanical entanglement -- quantum control -- optimal control; 42.50.Wk -- 03.67.Bg -- 02.30.Yy -- 02.60.Pn; Quantum theory -- Periodicals; Quantum theory; Periodicals; 530
• DOI: 10.1088/2058-9565/aa629c
• Languages: English
• ISSNs: 2058-9565

Abstract

Abstract: In this article, we formulate the generation of optomechanical entanglement between the linearly coupled cavity field and the mechanical resonator as an optimal control problem in hyperbolic space H 3, with control input the effective coupling rate (optomechanical coupling strength) of the two oscillators. Next, we use optimal control theory to find the allowed optimal values of the coupling which maximise the amount of generated entanglement for a fixed duration of the interaction. Finally, we employ a numerical optimisation method to obtain the exact optimal pulse sequences for several illustrative examples. When the effective coupling rate is comparable or larger than the frequency of the mechanical resonator, a substantial amount of entanglement can be generated within a fraction of a single oscillator period.