1 School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China; 2 Key Laboratory of Advanced Micro-Structured Materials of Ministry of Education, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

Abstract The phase-modulated quadrature squeezing in the system that composed of two coupled cavities interacting with a two-level atom is investigated. The variances of the amplitude and phase quadrature of the output field are calculated. It turns out that the squeezing behaviors of the output field can be obviously modified due to the phase difference of the coupling strengths between the atom and the two cavities. The squeezing in one quadrature (i.e., phase quadrature) can be transferred into another (i.e., amplitude quadrature), or the quadrature squeezing located at the low-frequency region can be transferred into the high-frequency region by modulating the relative phase of the coupling strengths. Furthermore, the effects of the decay mismatch between the two cavities and the coupling mismatch between the atom and the cavities on the quadrature squeezing have been discussed. The results show that both the decay mismatch and the coupling mismatch play a positive role in generating better quadrature squeezing.

(Decoherence; open systems; quantum statistical methods)

Fund: Project supported by the Fundamental Research Funds for the Provincial Universities of Zhejiang Province, China (Grant No. GK199900299012-015), the National Natural Science Foundation of China (Grant Nos. 11574229, 11874287, and 11574068), and the Science Fund from the Shanghai Science and Technology Committee, China (Grant No. 18JC1410900).

Hao-Zhen Li(李浩珍), Ran Zeng(曾然), Xue-Fang Zhou(周雪芳), Mei-Hua Bi(毕美华), Jing-Ping Xu(许静平), Ya-Ping Yang(羊亚平) Phase-modulated quadrature squeezing in two coupled cavities containing a two-level system 2020 Chin. Phys. B 29 050308

[1]

Nielsen M A and Chuang I L 2011 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)

[2]

Houck A A, Türeci H E and Koch J 2012 Nat. Phys. 8 292

[3]

Reiserer A and Rempe G 2015 Rev. Mod. Phys. 87 1379

[4]

Gisin N and Thew R 2007 Nat. Photon. 1 165

[5]

Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Rev. Mod. Phys. 79 135

[6]

Carmichael H J 1985 Phys. Rev. Lett. 55 2790

[7]

Pan J W, Chen Z B, Lu C Y, Weinfurter H, Zeilinger A and Zukowski M 2012 Rev. Mod. Phys. 84 777

[8]

Andersen U L, Gehring T, Marquardt C and Leuchs G 2016 Phys. Scr. 91 053001

[9]

Loudon R and Knight P L 1987 J. Mod. Opt. 34 709

[10]

Yang S, Zhang S, Zou X, Bi S and Lin X 2013 Phys. Rev. A 87 024302

[11]

Abadie J, Abbott B P, Abbott R, et al. 2011 Nat. Phys. 7 962

[12]

Szigeti S S, Tonekaboni B, Lau W Y S, Hood S N and Haine S A 2014 Phys. Rev. A 90 063630

[13]

Lvovsky A I and Raymer M G 2009 Rev. Mod. Phys. 81 299

[14]

Slusher R E, Hollberg L W, Yurke B, Mertz J C and Valley J F 1985 Phys. Rev. Lett. 55 2409

[15]

Wu L A, Kimble H J, Hall J L and Wu H 1986 Phys. Rev. Lett. 57 2520

[16]

Vahlbruch H, Mehmet M, Danzmann K and Schnabel R 2016 Phys. Rev. Lett. 117 110801

[17]

Li S, Li H Z, Xu J P, Zhu C J and Yang Y P 2019 Acta Phys. Sin. 68 174202 (in Chinese)

[18]

Rashid M, Tufarelli T, Bateman J, Vovrosh J, Hempston D, Kim M S and Ulbricht H 2016 Phys. Rev. Lett. 117 273601

[19]

Agarwal G S and Huang S M 2016 Phys. Rev. A 93 043844

[20]

Német N and Parkins S 2016 Phys. Rev. A 94 023809

[21]

Adamyan H H, Bergou J A, Gevorgyan N T and Kryuchkyan G Y 2015 Phys. Rev. A 92 053818

[22]

Meystre P and Zubairy M S 1982 Phys. Lett. A 89 390

[23]

Wang C Q, Zou J and Zhang Z M 2016 Chin. Phys. Lett. 33 024202

[24]

Li H, Xu J, Wang D W, Xia X, Yang Y and Zhu S 2017 Phys. Rev. A 96 013832

[25]

Tian J F, Zuo G H, Zhang Y C, Li G, Zhang P F and Zhang T C 2017 Chin. Phys. B 26 124206

[26]

Li Z, Ma S L and Li F L 2015 Phys. Rev. A 92 023856

[27]

Liu F F, Fang M F and Xu X 2019 Chin. Phys. B 28 060304

[28]

Chuang Y L, Lee R K and Yu I A 2017 Phys. Rev. A 96 053818

[29]

Ourjoumtsev A, Kubanek A, Koch M, Sames C, Pinkse P W H, Rempe G and Murr K 2011 Nature 474 623

[30]

Schulte C H H, Hansom J, Jones A E, Matthiesen C, Gall C L and Atature M 2015 Nature 525 222

[31]

Kim N C, Li J B, Yang Z J, Hao Z H and Wang Q Q 2010 Appl. Phys. Lett. 97 061110

[32]

Xiao Y F, Li M, Liu Y C, Li Y, Sun X and Gong Q 2010 Phys. Rev. A 82 065804

[33]

Cheng M T, Xu J and Agarwal G S 2017 Phys. Rev. A 95 053807

[34]

Chen G Y, Lambert N, Chou C H, Chen Y N and Nori F 2011 Phys. Rev. B 84 045310

[35]

Yang D C, Cheng M T, Ma X S, Xu J, Zhu C and Huang X S 2018 Phys. Rev. A 98 063809

[36]

Yuan L, Xu S and Fan S 2015 Opt. Lett. 40 5140

[37]

Pleinert M O, Zanthier J V and Agarwal G S 2018 Phys. Rev. A 97 023831

[38]

Wang C, Liu Y L, Wu R and Liu Y X 2017 Phys. Rev. A 96 013818

[39]

Qu Y, Li J and Wu Y 2019 Phys. Rev. A 99 043823

[40]

Gardiner C W and Collett M J 1985 Phys. Rev. A 31 3761

[41]

Aufféves-Garnier A, Simon C, Gérard J M and Poizat J P 2007 Phys. Rev. A 75 053823

[42]

Collett M J and Gardiner C W 1984 Phys. Rev. A 30 1386

[43]

Srinivasan K and Painter O 2007 Phys. Rev. A 75 023814

[44]

Majumdar A, Bajcsy M, Rundquist A and Vuckovic J 2012 Phys. Rev. Lett. 108 183601

[45]

Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)

[46]

Srinivasan K and Painter O 2007 Nature 450 862

[47]

Min B, Ostby E, Sorger V, Ulin-Avila E, Yang L, Zhang X and Vahala K 2009 Nature 457 455

[48]

He L, Ozdemir S K, Zhu J, Monifi F, Yilmaz H and Yang L 2013 New J. Phys. 15 073030

[49]

Aoki T, Dayan B, Wilcut E, Bowen W P, Parkins A S, Kippenberg T J, Vahala K J and Kimble H J 2006 Nature 443 671

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.