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Chin. Phys. B, 2023, Vol. 32(4): 044202    DOI: 10.1088/1674-1056/acae7a

Nonreciprocal negative refraction in a dense hot atomic medium

Hai Yi(易海)1,2, Hongjun Zhang(张红军)1,2,†, and Hui Sun(孙辉)1,2
1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China;
2 Xi'an Key Laboratory of Optical Information Manipulation and Augmentation, Xi'an 710119, China
Abstract  We investigate the electromagnetic properties of a four-level dense atomic gas medium with Doppler effect. It is shown that the relative permittivity and relative permeability of the medium can be negative simultaneously with low absorption in the same detuning interval on account of electromagnetically induced transparency. Furthermore, with the suitable parameters, the nonreciprocal negative refraction can be obtained due to the Doppler effect, and the nonreciprocity frequency band can be regulated by adjusting the temperature, the intensity of the control field and the atomic density in this hot atomic medium.
Keywords:  negative refraction      nonreciprocity      Doppler effect      atomic system  
Received:  01 November 2022      Revised:  18 December 2022      Accepted manuscript online:  27 December 2022
PACS:  42.25.Bs (Wave propagation, transmission and absorption)  
  43.28.Py (Interaction of fluid motion and sound, Doppler effect, and sound in flow ducts)  
  51.70.+f (Optical and dielectric properties)  
  78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61671279). The authors also thank the financial support from Xi'an Key Laboratory of Optical Information Manipulation and Augmentation (OMA).
Corresponding Authors:  Hongjun Zhang     E-mail:

Cite this article: 

Hai Yi(易海), Hongjun Zhang(张红军), and Hui Sun(孙辉) Nonreciprocal negative refraction in a dense hot atomic medium 2023 Chin. Phys. B 32 044202

[1] Bi L, Hu J, Jiang P, Kim D H, Dionne G F, Kimerling L C and Ross C A 2011 Nat. Photon. 5 758
[2] Ma S L, Ren Y L, Cao M T, Zhang S G and Li F L 2022 Appl. Phys. Lett. 120 051109
[3] Shalaby M, Peccianti M, Ozturk Y and Morandotti R 2013 Nat. Commun. 4 1558
[4] Tamagnone M, Moldovan C, Poumirol J M, Kuzmenko A B, Ionescu A M, Mosig J R and Perruisseau-Carrier J 2016 Nat. Commun. 7 11216
[5] Estep N A, Sounas D L, Soric J and Alú A 2014 Nat. Phys. 10 923
[6] Kamal A, Clarke J and Devoret M H 2011 Nat. Phys. 7 311
[7] Shen Z, Zhang Y L, Chen Y, Sun F W, Zou X B, Guo G C, Zou C L and Dong C H 2018 Nat. Commun. 9 1797
[8] Zheng J H, Peng R, Cheng J, An J and Zhang W Z 2022 Chin. Phys. B 31 054204
[9] Khanikaev A B, Mousavi S H, Shvets G and Kivshar Y S 2010 Phys. Rev. Lett. 105 126804
[10] Tse W K and MacDonald A H 2011 Phys. Rev. B 84 205327
[11] Bender N, Factor S, Bodyfelt J D, Ramezani H, Christodoulides D N, Ellis F M and Kottos T 2013 Phys. Rev. Lett. 110 234101
[12] Khanikaev A B and Alú A 2015 Nat. Photon. 9 359
[13] Sounas D L, Soric J and Alú A 2018 Nat. Electron. 1 113
[14] Rosario Hamann A, Muller C, Jerger M, Zanner M, Combes J, Pletyukhov M, Weides M, Stace T M and Fedorov A 2018 Phys. Rev. Lett. 121 123601
[15] Feng L, Ayache M, Huang J, Xu Y L, Lu M H, Chen Y F, Fainman Y and Scherer A 2011 Science 333 729
[16] Lira H, Yu Z, Fan S and Lipson M 2012 Phys. Rev. Lett. 109 033901
[17] Sounas D L and Alú A 2017 Nat. Photon. 11 774
[18] Yu Z and Fan S 2009 Nat. Photon. 3 91
[19] Ruesink F, Miri M A, Alu A and Verhagen E 2016 Nat. Commun. 7 13662
[20] Mercier de Lépinay L, Damskägg E, Ockeloen-Korppi C F and Sillanpää M A 2019 Phys. Rev. Appl. 11 034027
[21] Manipatruni S, Robinson J T and Lipson M 2009 Phys. Rev. Lett. 102 213903
[22] Fang K, Luo J, Metelmann A, Matheny M H, Marquardt F, Clerk A A and Painter O 2017 Nat. Phys. 13 465
[23] Horsley S A, Wu J H, Artoni M and La Rocca G C 2013 Phys. Rev. Lett. 110 223602
[24] Ramezani H, Jha P K, Wang Y and Zhang X 2018 Phys. Rev. Lett. 120 043901
[25] Wu J H, Artoni M and La Rocca G C 2014 Phys. Rev. Lett. 113 123004
[26] Wang D W, Zhou H T, Guo M J, Zhang J X, Evers J and Zhu S Y 2013 Phys. Rev. Lett. 110 093901
[27] Sollner I, Mahmoodian S, Hansen S L, Midolo L, Javadi A, Kirsanske G, Pregnolato T, El-Ella H, Lee E H, Song J D, Stobbe S and Lodahl P 2015 Nat. Nanotechnol. 10 775
[28] You Y, Hu Y, Lin G, Qi Y, Niu Y and Gong S 2021 Phys. Rev. A 103 063706
[29] Xia K, Lu G, Lin G, Cheng Y, Niu Y, Gong S and Twamley J 2014 Phys. Rev. A 90 043802
[30] Shi C, Cheng M T, Ma X S, Wang D, Huang X, Wang B and Zhang J Y 2018 Chin. Phys. Lett. 35 054202
[31] Hu Y, Zhang S, Qi Y, Lin G, Niu Y and Gong S 2019 Phys. Rev. Appl. 12 054004
[32] Zhang S, Lin G, Hu Y, Qi Y, Niu Y and Gong S 2020 Phys. Rev. Appl. 14 024032
[33] Lu X, Cao W, Yi W, Shen H and Xiao Y 2021 Phys. Rev. Lett. 126 223603
[34] Zhang S, Hu Y, Lin G, Niu Y, Xia K, Gong J and Gong S 2018 Nat. Photon. 12 744
[35] Brandenbourger M, Locsin X, Lerner E and Coulais C 2019 Nat. Commun. 10 4608
[36] Shen Z, Zhang Y L, Chen Y, Zou C L, Xiao Y F, Zou X B, Sun F W, Guo G C and Dong C H 2016 Nat. Photon. 10 657
[37] Lin G, Zhang S, Hu Y, Niu Y, Gong J and Gong S 2019 Phys. Rev. Lett. 123 033902
[38] Fan L, Wang J, Varghese L T, Shen H, Niu B, Xuan Y, Weiner A M and Qi M 2012 Science 335 447
[39] Veselago V G 1968 Sov. Phys. Usp. 10 509
[40] Berman P R 2002 Phys. Rev. E 66 067603
[41] Pendry J B 2016 J. Phys.: Condens. Matter 28 481002
[42] Chen L, He S and Shen L 2004 Phys. Rev. Lett. 92 107404
[43] Aydin K, Bulu I and Ozbay E 2007 Appl. Phys. Lett. 90 254102
[44] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[45] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F and Smith D R 2006 Science 314 977
[46] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C and Schultz S 2000 Phys. Rev. Lett. 84 4184
[47] Shelby R A, Smith D R and Schultz S 2001 Science 292 77
[48] Yen T J, Padilla W J, Fang N, Vier D C, Smith D R, Pendry J B, Basov D N and Zhang X 2004 Science 303 1494
[49] Linden S, Enkrich C, Wegener M, Zhou J, Koschny T and Soukoulis C M 2004 Science 306 1351
[50] Enkrich C, Wegener M, Linden S, Burger S, Zschiedrich L, Schmidt F, Zhou J F, Koschny T and Soukoulis C M 2005 Phys. Rev. Lett. 95 203901
[51] Berrier A, Mulot M, Swillo M, Qiu M, Thylen L, Talneau A and Anand S 2004 Phys. Rev. Lett. 93 073902
[52] He S, Ruan Z, Chen L and Shen J 2004 Phys. Rev. B 70 115113
[53] Cubukcu E, Aydin K, Ozbay E, Foteinopoulou S and Soukoulis C M 2003 Nature 423 604
[54] Wu H, Jiang L Y, Jia W and Li X Y 2012 Chin. Phys. Lett. 29 034203
[55] Yu X T, Wei Z Y, Li H Q, Zhang Y W and Chen H 2007 Chin. Phys. Lett. 24 3447
[56] Pendry J B 2004 Science 306 1353
[57] Yannopapas V 2006 J. Phys.: Condens. Matter 18 6883
[58] Tretyakov S, Sihvola A and Jylhä L 2005 Photon. Nanostruct. Fundam. Appl. 3 107
[59] Oktel M Ö and Müstecaplıoǧlu Ö E 2004 Phys. Rev. A 70 053806
[60] Shen J Q, Ruan Z C and He S L 2004 J. Zhejiang Univ. Sci. 5 1322
[61] Zhang H J, Gong S Q, Niu Y P, Li R X and Xu Z Z 2006 Chin. Phys. Lett. 23 1769
[62] Shen J Q 2006 Phys. Lett. A 357 54
[63] Thommen Q and Mandel P 2006 Phys. Rev. Lett. 96 053601
[64] Kastel J, Fleischhauer M, Yelin S F and Walsworth R L 2007 Phys. Rev. Lett. 99 073602
[65] Kästel J, Fleischhauer M, Yelin S F and Walsworth R L 2009 Phys. Rev. A 79 063818
[66] Yang X Y and Jiang Y Y 2012 Opt. Commun. 285 2161
[67] Zhao S C, Liu Z D and Wu Q X 2010 Opt. Commun. 283 3301
[68] Zhao S C, Liu Z D, Zheng J, Li G and Liu N 2012 Optik 123 1063
[69] Jackson J D 2001 Classical Electrodynamics 3rd edn. (New York: John Wiley & Sons) Chap. 4
[70] Van Ai N, Bang N H and Van Doai L 2022 Phys. Scr. 97 025503
[71] Friedberg R, Hartmann S R and Manassah J T 1989 Phys. Rev. A 40 2446
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