Phonon amplification in two coupled cavities containing one mechanical resonator

Hui Wang, Zhixin Wang, Jing Zhang, Şahin Kaya Özdemir, Lan Yang, and Yu-xi Liu

Phys. Rev. A 90, 053814 – Published 7 November 2014

Abstract

We study a general theory of phonon lasing [I. S. Grudinin et al., Phys. Rev. Lett. 104, 083901 (2010)] in coupled optomechancial systems. We derive the dynamical equation of the phonon lasing using supermodes formed by two cavity modes. A general threshold condition for phonon lasing is obtained. We also show the differences between phonon lasing and photon lasing, generated by photonic supermodes and a two-level atomic ensemble, respectively. We find that the phonon lasing can be produced in a certain parameter regime near the threshold. The phase diagrams and degrees of second-order coherence for the phonon lasing are also studied to show some interesting phenomena that cannot be observed in the photon lasing generated by two-level atomic ensembles.

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Received 22 May 2014

DOI:https://doi.org/10.1103/PhysRevA.90.053814

Authors & Affiliations

Hui Wang^1,2, Zhixin Wang², Jing Zhang^3,4, Şahin Kaya Özdemir⁵, Lan Yang⁵, and Yu-xi Liu^1,2,4,*

¹Institute of Microelectronics, Tsinghua University, Beijing 100084, China
²Department of Microelectronics and Nanoelectronics, Tsinghua University, Beijing 100084, China
³Department of Automation, Tsinghua University, Beijing 100084, China
⁴Tsinghua National Laboratory for Information Science and Technology (TNList), Beijing 100084, China
⁵Department of Electrical and Systems Engineering, Washington University, St. Louis, Missouri 63130, USA

^*yuxiliu@mail.tsinghua.edu.cn

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Vol. 90, Iss. 5 — November 2014

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