Normal mode splitting and ground state cooling in a Fabry–Perot optical cavity and transmission line resonator

doi:10.1088/1674-1056/20/12/124203

Abstract Optomechanical dynamics in two systems which are a transmission line resonator and Fabrya-Perot optical cavity via radiation-pressure are investigated by linearized quantum Langevin equation. We work in the resolved sideband regime where the oscillator resonance frequency exceeds the cavity linewidth. Normal mode splittings of the mechanical resonator as a pure result of the coupling interaction in the two optomechanical systems is studied, and we make a comparison of normal mode splitting of mechanical resonator between the two systems. In the optical cavity, the normal mode splitting of the movable mirror approaches the latest experiment very well. In addition, an approximation scheme is introduced to demonstrate the ground state cooling, and we make a comparison of cooling between the two systems dominated by two key factors, which are the initial bath temperature and the mechanical quality factor. Since both the normal mode splitting and cooling require working in the resolved sideband regime, whether the normal mode splitting influences the cooling of the mirror is considered. Considering the size of the mechanical resonator and precooling the system, the mechanical resonator in the transmission line resonator system is easier to achieve the ground state cooling than in optical cavity.

Keywords: optomechanical system normal mode splitting ground state cooling

Received: 06 March 2011
Revised: 27 April 2011
Accepted manuscript online:

PACS:	42.50.Lc	(Quantum fluctuations, quantum noise, and quantum jumps)
	45.80.+r	(Control of mechanical systems)
	85.85.+j	(Micro- and nano-electromechanical systems (MEMS/NEMS) and devices)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10647132 and 11104113) and the Scientific Research Fund of Hunan Provincial Education Department of China (Grant No. 10A100).

Cite this article:

Chen Hua-Jun(陈华俊) and Mi Xian-Wu(米贤武) Normal mode splitting and ground state cooling in a Fabry–Perot optical cavity and transmission line resonator 2011 Chin. Phys. B 20 124203

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Normal mode splitting and ground state cooling in a Fabry–Perot optical cavity and transmission line resonator

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