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In trapped ion systems, single-ion phonon lasers based on the van der Pol oscillator mechanism have been applied in fields such as weak electric field measurement and weak force detection. As a coherent source analogous to photon lasers, phonon lasers precisely control the vibrational states of the ions through sideband excitation and cooling techniques, aiming to further extend their applications to areas such as continuous-variable quantum computing, quantum nonlinear dynamics, and quantum precision measurement. This paper presents a theoretical study of single-ion phonon laser in the quantum regime using a three-level model. By solving the master equation, we obtain the steady-state phase diagram for generating the phonon laser and analyze the system's Wigner quasi-probability distribution and second-order correlation properties. Based on the ion trap system, this paper proposes an experimental scheme, namely, using a bichromatic light field composed of a blue-sideband laser and a red-sideband laser acting on a trapped40Ca+ ion, thereby generating a phonon laser in the quantum regime. The vibrational quantum state is then characterized using the characteristic function measurement method.
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Keywords:
- Trapped ions /
- Wigner function /
- phonon laser
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[1] Qiao H, Dumur É, Andersson G,Yan H, Chou M H, Grebel J, Conner C R, Joshi Y J, Miller J M, Pover R G, X. Wu, Cleland A N 2023 Science 380 1030-1033.
[2] Kuang T, Huang R, Xiong W, Zuo Y L, Han X, Franco N, Qiu C W, Luo H, Jing H, Xiao G Z 2023 Nat. Phys. 19 414-419.
[3] Xiao G, Kuang T, He Y, Chen X L, Xiong W, Han X, Tan Z Q, Luo H, Jing H 2024 eLight 4 17.
[4] Cleland A Y, Wollack E A, Safavi-Naeini A H 2024 Nat. Commun. 15, 4979.
[5] Wang H M，Liu X B，Hu S Q，Chen D Q，Chen Q，Zhang C，Guan M X，Meng S 2023 Sci. Adv. 9 33.
[6] Leibfried D, Blatt R, Monroe C, Wineland D 2003 Rev. Mod. Phys. 75 281.
[7] Vahala K, Herrmann M, Knünz S, Batteiger V, Saathoff G, Hänsch T W, Udem Th 2009 Nat. Phys. 5 682–686.
[8] Xie Y, Wan W, Wu H Y, Zhou F, Chen L, Feng M 2013 Phys. Rev. A. 87 053402.
[9] Pikovsky A, Rosenblum M, Kurths J, 2001 Synchronization: A Universal Concept in Nonlinear Sciences(Cambridge: Cambridge University Press).
[10] Lee T, Sadeghpour H 2013 Phys. Rev. Lett. 111 234101.
[11] Knünz S, Herrmann M, Batteiger V, Saathoff1 G, Hänsch T W, Vahala K, Udem Th 2010 Phys. Rev. Lett.105 013004.
[12] Liu Z C, Wei Y Q, Chen L, Li J, Dai S Q, Zhou F, Feng M 2021 Phys. Rev. Appl. 16 044007.
[13] Zhang Q, Yang C, Sheng J, Wu H 2022 Proc. Natl. Acad. Sci. U.S.A. 52 119.
[14] Ripin, A, Peng, R, Zhang, X, Chakravarthi S, He M H, Xu X D, Fu K M, Cao T, Li M 2023 Nat. Nanotechnol. 18 1020–1026.
[15] Haffner H, Roos C F, Blatt R 2008 Phys. Rep. 469 155.
[16] Blatt R, Roos C F 2012 Nat. Phys. 8 277.
[17] Monroe C, Kim J 2013 Science. 339 1164.
[18] Knunz S, Herrmann M, Batteiger V, Saathoff G, Hansch T W, Vahala K, Udem Th. 2010 Phys. Rev. Lett. 105 013004.
[19] Akerman N, Kotler S, Glickman Y, Dallal Y, Keselman A, Ozeri R 2010 Phys. Rev. A. 82 061402.
[20] Lee T E, Cross M C 2011 Phys. Rev. Lett. 106 143001.
[21] Li Y, Li H, Zhu Y, Zhang M, Yang J 2011 Phys. Rev. E. 84 066212.
[22] Lin G D, Duan L M 2011 New J. Phys. 13 075015.
[23] Petri C, Meyer S, Lenz F, Schmelcher P 2011 New J.Phys. 13 023006.
[24] Tony E. Lee, Sadeghpour H R 2013 Phys. Rev. Lett. 111 234101.
[25] Shovan D, Nigel R C 2019 Phys. Rev. Lett. 123 250401.
[26] Christopher W W, Gloria P 2023 Phys. Rev. Res. 5 023021.
[27] Vahala K, Herrmann M, Knünz S, Batteiger V, Saathoff G, Hänsch T W, Udem T 2009 Nat. Phys. 5 682.
[28] Grudinin I S, Lee H, Painter O, Vahala K J 2010 Phys. Rev. Lett. 104 083901.
[29] Kemiktarak U, Durand M, Metcalfe M, Lawall J 2014 Phys. Rev. Lett. 113 030802.
[30] Cohen J D, Meenehan S M, MacCabe G S, Gröblacher S, Safavi-Naeini A H, F. Marsili, Shaw M D, Painter O 2015 Nature. 520 522.
[31] Pettit R M, Ge W, Kumar P, Luntz-Martin D R, Schultz J T, Neukirch L P, Bhattacharya M, Vamivakas A.N. 2019 Nat. Photonics. 13 402.
[32] Wen Y, Ares N, Schupp F J, Pei T, Briggs G A D, Laird E A 2020 Nat. Phys. 16 75.
[33] Zhang Q, Yang C, Sheng J, Wu H 2022 Proc.Natl. Acad.Sci. U.S.A. 119 e2207543119.
[34] Behrle T, Nguyen T, Reiter F, Baur D, de Neeve B, Stadler M, Marinelli M, Lancellotti F, Yelin S, Home J 2023 Phys. Rev. Lett. 131 043605.
[35] Flühmann C, Home J 2020 Phys. Rev. Lett. 125 043602.
[36] He S W 2024 M. Sc. Dissertation (Hunan: National University of Defense Technology) (in Chinese) [何思文 2024 硕士学位论文（湖南：国防科技大学）].
[37] He S W, Deng Z J, Xie Y, Wang Y Y, Chen P X 2024 Opt. Express. 32 13998-14009.
[38] Loudon R 2000 The Quantum Theory of Light (Oxford:Oxford University Press).
[39] Scully M O Zubairy M S 1997 Quantum Optics(Cambridge, England: Cambridge University Press).
[40] Xie J, Zhang A N, Cao N P, Xu H C, Zheng K M, Poon Y T, Sze N S, Xu P, Zeng B, Zhang L J2020 Phys. Rev. Lett. 125 150401
[41] Zhang Z M 2015 Quantum Optics (Beijing: Science Press) p126 (in Chinese) [张智明 2015 量子光学 (北京:科学出版社) 第126页].
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