|
|
|
Entanglement enhancement in a modulated optomechanical system via squeezed vacuum field |
| Huan-Huan Cheng(程欢欢), Chen-Rui Yang(杨晨锐), Gao-Feng Jiao(焦高锋), Cheng-Hua Bai(白成华), and Shao-Xiong Wu(武少雄)† |
| School of Semiconductor and Physics, North University of China, Taiyuan 030051, China |
|
|
|
|
Abstract We present a double-cavity optomechanical system with a mechanical oscillator, which is jointly driven by an amplitude-modulated laser field and a weak squeezed vacuum field, aiming to explore quantum entanglement effects under the unresolved-sideband regime. Within our proposed scheme, it is possible not only to surpass the limit of maximum steady-state entanglement ln2 for bipartite entanglement, achieving strong entanglement, but also to significantly enhance tripartite entanglement and improve the system's robustness against thermal noise. Meanwhile, the introduction of the squeezed vacuum field plays a crucial role in entanglement control, enabling not only a several-fold enhancement of entanglement but also continuous and precise manipulation of its strength within specific ranges. The suggested method demonstrates exceptional flexibility and adaptability under a wide range of operating conditions, offering a new pathway for theoretical and experimental investigations of strong bipartite entanglement and tripartite entanglement.
|
Received: 27 October 2025
Revised: 11 December 2025
Accepted manuscript online: 16 December 2025
|
|
PACS:
|
03.65.Ud
|
(Entanglement and quantum nonlocality)
|
| |
03.67.Mn
|
(Entanglement measures, witnesses, and other characterizations)
|
| |
42.50.-p
|
(Quantum optics)
|
|
| Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 12204440 and 12404418), the China Postdoctoral Science Foundation (Grant No. 2025M773357), and the Fundamental Research Program of Shanxi Province, China (Grant No. 202303021212171). |
Corresponding Authors:
Shao-Xiong Wu
E-mail: sxwu@nuc.edu.cn
|
Cite this article:
Huan-Huan Cheng(程欢欢), Chen-Rui Yang(杨晨锐), Gao-Feng Jiao(焦高锋), Cheng-Hua Bai(白成华), and Shao-Xiong Wu(武少雄) Entanglement enhancement in a modulated optomechanical system via squeezed vacuum field 2026 Chin. Phys. B 35 040311
|
[1] Kippenberg T J and Vahala K J 2008 Science 321 1172
[2] Favero I and Karrai K 2009 Nat. Photonics 3 201
[3] Aspelmeyer M, Kippenberg T J and Marquardt F 2014 Rev. Mod. Phys. 86 1391
[4] Imamoglu A, Schmidt H, Woods G and Deutsch M 1997 Phys. Rev. Lett. 79 1467
[5] Xia K, Nori F and Xiao M 2018 Phys. Rev. Lett. 121 203602
[6] Dong Y, Zheng X, Wang D and Zhao P 2025 Chin. Phys. B 34 044203
[7] Man X X, Sun J, Zhang W Z, Luo L and Jin G 2024 Chin. Phys. B 33 120303
[8] Ashkin A 1980 Science 210 1081
[9] Bai C H, Wang D Y, Zhang S, Liu S and Wang H F 2019 Ann. Phys. 531 1800271
[10] Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[11] Schrödinger E 1935 Math. Proc. Cambridge Philos. Soc. 31 555
[12] Dong L H,Wu X J, Bai C H andWu S X 2025 Chin. Phys. B 34 020304
[13] Vitali D, Gigan S, Ferreira A, Böhm H R, Tombesi P, Guerreiro A, Vedral V, Zeilinger A and AspelmeyerM2007 Phys. Rev. Lett. 98 030405
[14] Chen P, Luo D W and Yu T 2025 Phys. Rev. Research 7 013161
[15] Wu S X, Bai C H, Li G, Yu C S and Zhang T 2024 Opt. Express 32 260
[16] Yang W Q, Leng X, Cheng J and Zhang W Z 2024 Chin. Phys. B 33 060313
[17] Liu M Y, Gong Y, Chen J, Wang Y W and Xiong W 2025 Chin. Phys. B 34 057202
[18] Zhou B Y, Pan N, Yu L and Li G X 2024 Phys. Rev. A 110 032401
[19] Yang J, Zhao C, Wang D W, Peng R and Zhou L 2024 Phys. Rev. Appl. 21 044056
[20] Wu S X, Bai C H, Li G, Yu C S and Zhang T 2023 J. Opt. Soc. Am. B 40 2885
[21] Li R, Long Y and Zhang X 2025 Chin. Phys. B 34 020307
[22] Asjad M, Agarwal G S, KimMS, Tombesi P, Giuseppe G Di and Vitali D 2014 Phys. Rev. A 89 023849
[23] Tong J L, Hao Y, Wu S X, Bai C H and Bai S 2025 Adv. Quantum Technol. 8 2400654
[24] Agarwal G S and Huang S 2016 Phys. Rev. A 93 043844
[25] Wu X J, Cheng H H, Wu Q, Bai C H and Wu S X 2024 Opt. Express 32 35663
[26] Chen S S, Xie Y L, Zhang J J, Zhang N N, Guo Y R, Yang H and Ma Y 2025 Chin. Phys. B 34 014201
[27] Birnbaum K M, Boca A, Miller R, Boozer A D, Northup T E and Kimble H J 2005 Nature 436 87
[28] Luo Y, Zhang X, Xiao Y, Xu J, Li H, Yang Y and Xia X 2025 Chin. Phys. B 34 014203
[29] Gao X C, Wu X J, Bai C H, Wu S X and Yu C S 2023 Opt. Express 31 36796
[30] Rabl P 2011 Phys. Rev. Lett. 107 063601
[31] Huang R, Miranowicz A, Liao J Q, Nori F and Jing H 2018 Phys. Rev. Lett. 121 153601
[32] Wu S X, Gao X C, Cheng H H and Bai C H 2025 Phys. Rev. A 111 043714
[33] Metelmann A and Clerk A A 2015 Phys. Rev. X 5 021025
[34] Qian Y B, Zhang Z Y, Tang L, Lai D G and Hou B P 2024 Phys. Rev. A 109 043103
[35] Vinokur V M, Baturina T I, Fistul M V, Mironov A Y, Baklanov M R and Strunk C 2008 Nature 452 613
[36] Zhirov O V and Shepelyansky D L 2006 Eur. Phys. J. D 38 375
[37] Liao C G, Chen R X, Xie H, He M Y and Lin X M 2019 Phys. Rev. A 99 033818
[38] Vaidya G M, Jäger S B and Shankar A 2025 Phys. Rev. A 111 012410
[39] Lai D G, Qin W, Hou B P, Miranowicz A and Nori F 2021 Phys. Rev. A 104 043521
[40] Qiu J, Jin L J, Peng Z Y, Chesi S andWang Y D 2022 Phys. Rev. A 105 033514
[41] Shao W, Li J and Wang L L 2023 Phys. Rev. A 107 063505
[42] Clarke J, Neveu P, Khosla K E, Verhagen E and VannerMR 2023 Phys. Rev. Lett. 131 053601
[43] Li J, Zhu S Y and Agarwal G S 2018 Phys. Rev. Lett. 121 203601
[44] Guo Y, Zhao J, Cao L, Li Y and Lu H Y 2025 Chin. Phys. B 34 024203
[45] Yang J, Lu T X, Peng M, Liu J, Jiao Y F and Jing H 2024 Opt. Express 32 785
[46] Hei X L, Li P B, Pan X F and Nori F 2023 Phys. Rev. Lett. 130 073602
[47] Zheng Q, Cao Y and Yan P 2025 Chin. Phys. B 34 107514
[48] Chen J, Fan X G, Xiong W, Wang D and Ye L 2024 Phys. Rev. A 109 043512
[49] Din G, Abbas M and Zhang P 2024 Eur. Phys. J. Plus 139 591
[50] Ghosh J, Mondal S, Varshney S K and Debnath K 2024 Phys. Rev. A 109 023512
[51] Yang Z, Xiong B, Zhao C and Zhou L 2025 Opt. Express 33 5123
[52] Dilawaiz, Qamar S and Irfan M 2024 Phys. Rev. A 109 043708
[53] Hussain B, Qamar S and Irfan M 2022 Phys. Rev. A 105 063704
[54] Wang Y, Wu J L, Jiao Y F, Lu T X, Zhang H L, Jiang L Y, Kuang L M and Jing H 2025 Phys. Rev. A 111 013709
[55] Feng J S, Tan L, Gu H Q and Liu W M 2017 Phys. Rev. A 96 063818
[56] Liu Z Q, Liu J, Tan L and Liu W M 2024 Phys. Rev. A 110 023707
[57] Zhang W J, Zhang Y, Guo Q, Liu A P, Li G and Zhang T 2021 Phys. Rev. A 104 053506
[58] Chakraborty S and Sarma A K 2018 Phys. Rev. A 97 022336
[59] Mari A and Eisert J 2009 Phys. Rev. Lett. 103 213603
[60] Liu Y C, Xiao Y F, Jiang X F, Li B B, Li Y and Gong Q 2012 Phys. Rev. A 85 013843
[61] Sedlmeir F, Foreman M R, Vogl U, Zeltner R, Schunk G, Strekalov D V, Marquardt C, Leuchs G and Schwefel H G 2017 Phys. Rev. Appl. 7 024029
[62] Trainor L S, Sedlmeir F, Peuntinger C and Schwefel H G 2018 Phys. Rev. Appl. 9 024007
[63] Singh V, Shevchuk O, Blanter Y M and Steele G A 2016 Phys. Rev. B 93 245407
[64] Hochreiter A, Bredol P, David F, Demiralp B, Weber H B and Weig E M 2025 Phys. Rev. Appl. 24 034005
[65] Kono S, Masuyama Y, Ishikawa T, Tabuchi Y, Yamazaki R, Usami K, Koshino K and Nakamura Y 2017 Phys. Rev. Lett. 119 023602
[66] Bienfait A, Campagne-Ibarcq P, Kiilerich A H, Zhou X, Probst S, Pla J J, Schenkel T, Vion D, Esteve D, Morton J J L, Moelmer K and Bertet P 2017 Phys. Rev. X 7 041011
[67] Vidal G and Werner R F 2002 Phys. Rev. A 65 032314
[68] Plenio M B 2005 Phys. Rev. Lett. 95 090503
[69] Adesso G and Illuminati F 2006 New J. Phys. 8 15
[70] Adesso G and Illuminati F 2007 J. Phys. A: Math. Theor. 40 7821 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
