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Chin. Phys. B, 2025, Vol. 34(10): 106702    DOI: 10.1088/1674-1056/ade075
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Pairing transitions in a binary Bose gas

Zesheng Shen(沈泽盛) and Lan Yin(尹澜)†
School of Physics, Peking University, Beijing 100871, China
Abstract  The stable Bardeen-Schrieffer-Cooper (BCS) pairing state of a bosonic system has long been sought theoretically and experimentally. Here we propose that a stable BCS state of bosons can be realized in a binary Bose gas with s-wave intra-species repulsion and an inter-species attraction in the mean-field-stable region. We find that above the Bose-Einstein condensation (BEC) transition temperature, there is a phase transition from the normal state to a BCS state driven by inter-species pairing. When the temperature decreases, another phase transition from the BCS state to a mixed state featuring both atomic BEC and inter-species pairing occurs. As the temperature is further lowered, the mixed state is eventually taken over by the pure BEC state. We present the phase diagram of this system and discuss its experimental implications.
Keywords:  pairing states      Bose-Einstein condensates  
Received:  26 May 2025      Revised:  03 June 2025      Accepted manuscript online:  04 June 2025
PACS:  67.85.-d (Ultracold gases, trapped gases)  
  03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties)  
Corresponding Authors:  Lan Yin     E-mail:  yinlan@pku.edu.cn

Cite this article: 

Zesheng Shen(沈泽盛) and Lan Yin(尹澜) Pairing transitions in a binary Bose gas 2025 Chin. Phys. B 34 106702

[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
[2] Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M and Ketterle W 1995 Phys. Rev. Lett. 75 3969
[3] Eagles D M 1969 Phys. Rev. 186 456
[4] Giorgini S, Pitaevskii L P and Stringari S 2008 Rev. Mod. Phys. 80 1215
[5] Greiner M, Regal C A and Jin D S 2003 Nature 426 537
[6] Zwierlein M W, Stan C A, Schunck C H, Raupach S M F, Gupta S, Hadzibabic Z and Ketterle W 2003 Phys. Rev. Lett. 91 250401
[7] Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Chin C, Denschlag J H and Grimm R 2003 Science 302 2101
[8] Regal C A, Greiner M and Jin D S 2004 Phys. Rev. Lett. 92 040403
[9] Chin C, Bartenstein M, Altmeyer A, Riedl S, Jochim S, Denschlag J H and Grimm R 2004 Science 305 1128
[10] Kinast J, Hemmer S L, Gehm M E, Turlapov A and Thomas J E 2004 Phys. Rev. Lett. 92 150402
[11] Zwierlein M W, Stan C A, Schunck C H, Raupach S M F, Kerman A J and Ketterle W 2004 Phys. Rev. Lett. 92 120403
[12] Bourdel T, Khaykovich L, Cubizolles J, Zhang J, Chevy F, Teichmann M, Tarruell L, Kokkelmans S J J M F and Salomon C 2004 Phys. Rev. Lett. 93 050401
[13] Bartenstein M, Altmeyer A, Riedl S, Jochim S, Chin C, Denschlag J H and Grimm R 2004 Phys. Rev. Lett. 92 120401
[14] Zwierlein M W, Abo-Shaeer J R, Schirotzek A, Schunck C H and Ketterle W 2005 Nature 435 1047
[15] Bardeen J, Cooper L N and Schrieffer J R 1957 Phys. Rev. 106 162
[16] Evans W A B and Rashid R I M A 1973 J. Low Temp. Phys. 11 93
[17] Jeon G S, Yin L, Rhee S W and Thouless D J 2002 Phys. Rev. A 66 011603
[18] Stoof H T C 1994 Phys. Rev. A 49 3824
[19] Mueller E J and Baym G 2000 Phys. Rev. A 62 053605
[20] Yu Z Q and Yin L 2010 Phys. Rev. A 81 023613
[21] Radzihovsky L, Park J and Weichman P B 2004 Phys. Rev. Lett. 92 160402
[22] Nozières, P and Saint James D 1982 J. Phys. France 43 1133
[23] Stenger J, Inouye S, Andrews M R, Miesner H J, Stamper-Kurn D M and Ketterle W 1999 Phys. Rev. Lett. 82 2422
[24] Bonnes L and Wessel S 2011 Phys. Rev. Lett. 106 185302
[25] Chen Y C, Ng K K and Yang M F 2011 Phys. Rev. B 84 092503
[26] Sowiński T, Chhajlany R W, Dutta O, Tagliacozzo L and Lewenstein M 2015 Phys. Rev. A 92 043615
[27] Zhang Z, Chen L, Yao K X and Chin C 2021 Nature 592 708
[28] Cabrera C R, Tanzi L, Sanz J, Naylor B, Thomas P, Cheiney P and Tarruell L 2018 Science 359 301
[29] Cheiney P, Cabrera C R, Sanz J, Naylor B, Tanzi L and Tarruell L 2018 Phys. Rev. Lett. 120 135301
[30] Semeghini G, Ferioli G, Masi L, Mazzinghi C, Wolswijk L, Minardi F, Modugno M, Modugno G, Inguscio M and Fattori M 2018 Phys. Rev. Lett. 120 235301
[31] Petrov D S 2018 Nat. Phys. 14 211
[32] Petrov D S 2015 Phys. Rev. Lett. 115 155302
[33] Gu Q and Yin L 2020 Phys. Rev. B 102 220503
[34] Xiong Y and Yin L 2022 Phys. Rev. A 105 053305
[35] Zhang F and Yin L 2022 Chin. Phys. Lett. 39 060301
[36] Zhang F and Yin L 2025 Chin. Phys. Lett. 42 010302
[37] Hu H and Liu X J 2020 Phys. Rev. Lett. 125 195302
[38] Hu H, Wang J and Liu X J 2020 Phys. Rev. A 102 043301
[39] Baym G, Blaizot J P, Holzmann M, Laloë F and Vautherin D 1999 Phys. Rev. Lett. 83 1703
[40] Holzmann M, Baym G, Blaizot J P and Laloë F 2001 Phys. Rev. Lett. 87 120403
[41] Ota M and Giorgini S 2020 Phys. Rev. A 102 063303
[42] Cabrera C R, Tanzi L, Sanz J, Naylor B, Thomas P, Cheiney P and Tarruell L 2018 Science 359 301
[43] Semeghini G, Ferioli G, Masi L, Mazzinghi C, Wolswijk L, Minardi F, Modugno M, Modugno G, Inguscio M and Fattori M 2018 Phys. Rev. Lett. 120 235301
[44] Stewart J T, Gaebler J P and Jin D S 2008 Nature 454 744
[45] Wild R J, Makotyn P, Pino J M, Cornell E A and Jin D S 2012 Phys. Rev. Lett. 108 145305
[46] Shashi A, Grusdt F, Abanin D A and Demler E 2014 Phys. Rev. A 89 053617
[47] Papp S B, Pino J M, Wild R J, Ronen S, Wieman C E, Jin D S and Cornell E A 2008 Phys. Rev. Lett. 101 135301
[48] Wang J, Hu H and Liu X J 2020 New J. Phys. 22 103044
[49] Volovik G E 2024 JETP Lett. 119 330
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