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

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 124203-124203.doi: 10.1088/1674-1056/20/12/124203

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

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

陈华俊, 米贤武

College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China

收稿日期:2011-03-06 修回日期:2011-04-27 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
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).

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

Chen Hua-Jun(陈华俊) and Mi Xian-Wu(米贤武)^†

College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China

Received:2011-03-06 Revised:2011-04-27 Online:2011-12-15 Published:2011-12-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: optomechanical system, normal mode splitting, ground state cooling

中图分类号: (Quantum fluctuations, quantum noise, and quantum jumps)

42.50.Lc

45.80.+r (Control of mechanical systems) 85.85.+j (Micro- and nano-electromechanical systems (MEMS/NEMS) and devices)

陈华俊, 米贤武. Normal mode splitting and ground state cooling in a Fabry–Perot optical cavity and transmission line resonator[J]. 中国物理B, 2011, 20(12): 124203-124203.

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[J]. Chin. Phys. B, 2011, 20(12): 124203-124203.

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

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

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