Non-universal Fermi polaron in quasi two-dimensional quantum gases

doi:10.1088/1674-1056/ac4cb9

中国物理B ›› 2022, Vol. 31 ›› Issue (8): 80305-080305.doi: 10.1088/1674-1056/ac4cb9

Non-universal Fermi polaron in quasi two-dimensional quantum gases

Yue-Ran Shi(石悦然)¹, Jin-Ge Chen(陈金鸽)¹, Kui-Yi Gao(高奎意)^1,†, and Wei Zhang(张威)^1,2,3,‡

1 Department of Physics, Renmin University of China, Beijing 100872, China;
2 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
3 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China

收稿日期:2021-10-25 修回日期:2022-01-03 接受日期:2022-01-19 出版日期:2022-07-18 发布日期:2022-07-23
通讯作者: Kui-Yi Gao, Wei Zhang E-mail:kgao@ruc.edu.cn;wzhangl@ruc.edu.cn
基金资助:
We thank support from the National Key R&D Program of China (Grant No. 2018YFA0306501), the National Natural Science Foundation of China (Grant Nos. 11522436, 11774425, and 12074428), and the Beijing Natural Science Foundation (Grant No. Z180013).

Non-universal Fermi polaron in quasi two-dimensional quantum gases

Yue-Ran Shi(石悦然)¹, Jin-Ge Chen(陈金鸽)¹, Kui-Yi Gao(高奎意)^1,†, and Wei Zhang(张威)^1,2,3,‡

1 Department of Physics, Renmin University of China, Beijing 100872, China;
2 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
3 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China

Received:2021-10-25 Revised:2022-01-03 Accepted:2022-01-19 Online:2022-07-18 Published:2022-07-23
Contact: Kui-Yi Gao, Wei Zhang E-mail:kgao@ruc.edu.cn;wzhangl@ruc.edu.cn
Supported by:
We thank support from the National Key R&D Program of China (Grant No. 2018YFA0306501), the National Natural Science Foundation of China (Grant Nos. 11522436, 11774425, and 12074428), and the Beijing Natural Science Foundation (Grant No. Z180013).

摘要/Abstract

摘要： We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energy for a wide range of interaction strength and for various different mass ratios between the impurity and the background fermion in the context of heteronuclear mixture. We demonstrate that in a quasi-two-dimensional Fermi gas there exists a transition of the ground state from polaron in the weakly interacting region to molecule in the strongly interacting region. The critical interaction strength of the polaron-molecule transition is non-universal and depends on the particle density of the background Fermi sea. We also investigate the excited repulsive polaron state, and find similar non-universal behavior.

关键词: Fermi gas, polaron problem, two-channel model

Abstract: We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energy for a wide range of interaction strength and for various different mass ratios between the impurity and the background fermion in the context of heteronuclear mixture. We demonstrate that in a quasi-two-dimensional Fermi gas there exists a transition of the ground state from polaron in the weakly interacting region to molecule in the strongly interacting region. The critical interaction strength of the polaron-molecule transition is non-universal and depends on the particle density of the background Fermi sea. We also investigate the excited repulsive polaron state, and find similar non-universal behavior.

Key words: Fermi gas, polaron problem, two-channel model

中图分类号: (Degenerate Fermi gases)

03.75.Ss

67.85.Lm (Degenerate Fermi gases) 05.30.Fk (Fermion systems and electron gas)

Yue-Ran Shi(石悦然), Jin-Ge Chen(陈金鸽), Kui-Yi Gao(高奎意), and Wei Zhang(张威). Non-universal Fermi polaron in quasi two-dimensional quantum gases[J]. 中国物理B, 2022, 31(8): 80305-080305.

Yue-Ran Shi(石悦然), Jin-Ge Chen(陈金鸽), Kui-Yi Gao(高奎意), and Wei Zhang(张威). Non-universal Fermi polaron in quasi two-dimensional quantum gases[J]. Chin. Phys. B, 2022, 31(8): 80305-080305.

参考文献

[1] Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
[2] Giorgini S, Pitaevskii L P and Stringari S 2008 Rev. Mod. Phys. 80 1215
[3] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
[4] Paredes B, Widera A, Murg V, Mandel O, Folling S, Cirac I, Shlyapnikov G V, Hansch T W and Bloch I 2004 Nature 429 277
[5] Kinoshita T, Wenger T and Weiss D S 2004 Science 305 1125
[6] Liao Y A, Rittner A S C, Paprotta T, Li W, Partridge G B, Hulet R G, Baur S K and Mueller E J 2010 Nature 467 567
[7] Hadzibabic Z, Krüger P, Cheneau M, Battelier B and Dalibard J 2006 Nature 441 1118
[8] Murthy P A, Boettcher I, Bayha L, Holzmann M, Kedar D, Neidig M, Ries M G, Wenz A N, Zürn G and Jochim S 2015 Phys. Rev. Lett. 115 010401
[9] Feld M, Fröhlich B, Vogt E, Koschorreck M and Köhl M 2011 Nature 480 75
[10] Murthy P A, Neidig M, Klemt R, Bayha L, Boettcher I, Enss T, Holten M, Zürn G, Preiss P M and Jochim S 2018 Science 359 452
[11] Fortagh J and Zimmermann C 2007 Rev. Mod. Phys. 79 235
[12] Dyke P, Kuhnle E D, Whitlock S, Hu H, Mark M, Hoinka S, Lingham M, Hannaford P and Vale C J 2011 Phys. Rev. Lett. 106 105304
[13] Dyke P, Fenech K, Peppler T, Lingham M G, Hoinka S, Zhang W, Peng S G, Mulkerin B, Hu H, Liu X J and Vale C J 2016 Phys. Rev. A 93 011603
[14] Gillen J I, Bakr W S, Peng A, Unterwaditzer P, Fölling S and Greiner M 2009 Phys. Rev. A 80 021602
[15] Kohl M, Moritz H, Stöferle T, Günter K and Esslinger T 2005 Phys. Rev. Lett. 94 080403
[16] Stöferle T, Moritz H, Günter K, Köhl M and Esslinger T 2006 Phys. Rev. Lett. 96 030401
[17] Ries M G, Wenz A N, Zürn G, Bayha L, Boettcher I, Kedar D, Murthy P A, Neidig M, Lompe T and Jochim S 2015 Phys. Rev. Lett. 114 230401
[18] Inouye S, Andrews M R, Stenger J, Miesner H J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 151
[19] Regal C A, Greiner M and Jin D S 2004 Phys. Rev. Lett. 92 040403
[20] Zwierlein M W, et al. 2004 Phys. Rev. Lett. 92 120403
[21] Chin C, et al. 2004 Science 305 1128
[22] Chin C, Grimm R, Julienne P and Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[23] Zhang R, Cheng Y, Zhai H and Zhang P 2015 Phys. Rev. Lett. 115 135301
[24] Pagano G, Mancini M, Cappellini G, Livi L, Sias C, Catani J, Inguscio M and Fallani L 2015 Phys. Rev. Lett. 115 265301
[25] Höfer M, et al. 2015 Phys. Rev. Lett. 115 265302
[26] Levinsen J and Parish M M 2014 arXiv:1408.2737
[27] Turlapov A V and Kagan M Y 2017 J. Phys. Cond. Matt. 29 383004
[28] Fröhlich B, Feld M, Vogt E, Koschorreck M, Zwerger W and Köhl M 2011 Phys. Rev. Lett. 106 105301
[29] Martiyanov K, Makhalov V and Turlapov A 2010 Phys. Rev. Lett. 105 030404
[30] Sommer A T, Cheuk L W, Ku M J H, Bakr W S and Zwierlein M W 2012 Phys. Rev. Lett. 108 045302
[31] Zhang Y, Ong W, Arakelyan I and Thomas J E 2012 Phys. Rev. Lett. 108 235302
[32] Petrov D S and Shlyapnikov G V 2001 Phys. Rev. A 64 012706
[33] Prokof'ev N and Svistunov B 2008 Phys. Rev. B 77 020408
[34] Prokof'ev N V and Svistunov B V 2008 Phys. Rev. B 77 125101
[35] Chevy F 2006 Phys. Rev. A 74 063628
[36] Yi W and Zhang W 2012 Phys. Rev. Lett. 109 140402
[37] Zhou L, Cui X and Yi W 2014 Phys. Rev. Lett. 112 195301
[38] Combescot R, Giraud S and Leyronas X 2009 Europhys. Lett. 88 60007
[39] Mora C and Chevy F 2009 Phys. Rev. A 80 033607
[40] Punk M, Dumitrescu P T and Zwerger W 2009 Phys. Rev. A 80 053605
[41] Mathy C J M, Parish M M and Huse D A 2011 Phys. Rev. Lett. 106 166404
[42] Parish M M 2011 Phys. Rev. A 83 051603
[43] Levinsen J and Baur S K 2012 Phys. Rev. A 86 041602
[44] Parish M M and Levinsen J 2013 Phys. Rev. A 87 033616
[45] Song Y and Cai X 2018 Chin. Phys. Lett. 35 110301
[46] Yin H, Xie T, Ji A and Sun Q 2021 Chin. Phys. B 30 106702
[47] Shi Y, Lu Z, Wang J and Zhang W 2019 Acta Phys. Sin 68 040305 (in Chinese)
[48] Koschorreck M, Pertot D, Vogt E, Fröhlich B, Feld M and Köhl M 2012 Nature 485 619
[49] Kestner J P and Duan L M 2006 Phys. Rev. A 74 053606
[50] Kestner J P and Duan L M 2007 Phys. Rev. A 76 063610
[51] Zhang W, Lin G D and Duan L M 2008 Phys. Rev. A 77 063613
[52] Cheng C, Kangara J, Arakelyan I and Thomas J E 2016 Phys. Rev. A 94 031606
[53] Cetina M, Jag M, Lous R S, Fritsche I, Walraven J T M, Grimm R, Levinsen J, Parish M M, Schmidt R, Knap M and Demler E 2016 Science 354 96
[54] Ness G, Shkedrov C, Florshaim Y, Diessel O, Milczewski J, Schmidt R and Sagi Y 2020 Phys. Rev. X 10 041019
[55] Bruun G M and Pethick C J 2004 Phys. Rev. Lett. 92 140404
[56] Bartenstein M, Altmeyer A, Riedl S, Geursen R, Jochim S, Chin C, Denschlag J H, Grimm R, Simoni A, Tiesinga E, Williams C J and Julienne P S 2005 Phys. Rev. Lett. 94 103201
[57] Scazza F, Valtolina G, Massignan P, Recati A, Amico A, Burchianti A, Fort C, Inguscio M, Zaccanti M and Roati G 2017 Phys. Rev. Lett. 118 083602
[58] Schmidt R, Enss T, Pietilä V and Demler E 2012 Phys. Rev. A 85 021602
[59] Ngampruetikorn V, Levinsen J and Parish M M 2012 Europhys. Lett. 98 30005

Non-universal Fermi polaron in quasi two-dimensional quantum gases

Non-universal Fermi polaron in quasi two-dimensional quantum gases

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