轨道Feshbach共振附近类碱土金属原子的杂质态问题
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摘要
近年来,碱土金属原子和类碱土金属原子体系的研究成为冷原子物理的研究热点之一.特别是最近在~(173)Yb原子中发现的轨道Feshbach共振,使得研究有强相互作用的碱土金属和类碱土金属原子系统成为可能,极大扩展了此类原子体系的研究范围.本文介绍了~(173)Yb费米气体在轨道Feshbach共振附近的杂质态问题.在此问题中,位于~3P0态的杂质原子与处于基态的背景费米海相互作用,并在费米海表面产生分子态或极化子态.本文使用试探波函数的研究方法,首先对分子态和吸引极化子态进行介绍,并重点描述了分子态与吸引极化子态间的转变.其次归纳总结了排斥极化子态的相关性质,如有效质量、衰变率等.然后考虑双费米面情况,介绍在闭通道中引入另外一个费米面对系统产生的影响.最后简要介绍二维~(173)Yb费米气体中的杂质态问题.
In recent years, alkaline-earth and alkaline-earth-like atoms have attracted much research interest in the field of ultracold atom. Especially, the recently discovered orbital Feshbach resonance makes it possible to investigate a strongly interacting gas of alkaline-earth or alkaline-earth-like atoms, which has greatly enriched the scope of quantum simulation in these systems. This paper focuses on the impurity problem in a Fermi gas of ~(173)Yb atoms near orbital Feshbach resonance. In this problem, the impurity atom in ~3P0 state will interact with the background Fermi sea in the ground state and the molecule or polaron state will be produced out of the Fermi sea. By using the Chevy-like ansatz, we investigate the properties of the molecule and attractive polaron states firstly and a transition between these two states will be found. Then, some properties of the repulsive polaron state will be introduced, such as the effective mass and the decay rate. Furthermore, the effect of an additional Fermi sea will be considered in this system. Finally, we will discuss the impurity problem in a twodimensional system.
In recent years, alkaline-earth and alkaline-earth-like atoms have attracted much research interest in the field of ultracold atom. Especially, the recently discovered orbital Feshbach resonance makes it possible to investigate a strongly interacting gas of alkaline-earth or alkaline-earth-like atoms, which has greatly enriched the scope of quantum simulation in these systems. This paper focuses on the impurity problem in a Fermi gas of ~(173)Yb atoms near orbital Feshbach resonance. In this problem, the impurity atom in ~3P0 state will interact with the background Fermi sea in the ground state and the molecule or polaron state will be produced out of the Fermi sea. By using the Chevy-like ansatz, we investigate the properties of the molecule and attractive polaron states firstly and a transition between these two states will be found. Then, some properties of the repulsive polaron state will be introduced, such as the effective mass and the decay rate. Furthermore, the effect of an additional Fermi sea will be considered in this system. Finally, we will discuss the impurity problem in a twodimensional system.
引文
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[2]Ludlow A D, Boyd M M, Zelevinsky T, Foreman S M, Blatt S, Notcutt M, Ido T, Ye J 2006 Phys. Rev. Lett. 96 033003
[3]BloomBJ,NicholsonTL,WilliamsJR,CampbellSL,BishofM,ZhangX,ZhangW,BromleySL,YeJ2014Nature 506 71
[4] Wu C, Hu J P, Zhang S C 2003 Phys. Rev. Lett. 91 186402
[5]FukuharaT,TakasuY,KumakuraM,TakahashiY2007Phys. Rev. Lett. 98 030401
[6]GorshkovAV,ReyAM,DaleyAJ,BoydMM,YeJ,Zoller P, Lukin M D 2009 Phys. Rev. Lett. 102 110503
[7]Zhang X, Bishof M, Bromley S L, Kraus C V, Safronova M S, Zoller P, Rey A M, Ye J 2014 Science 345 6203
[8]CappelliniG,ManciniM,PaganoG,LombardiP,LiviL,SicilianideCumisM,CancioP,PizzocaroM,CalonicoD,Levi F, Sias C, Catani J, Inguscio M, Fallani L 2014 Phys.Rev. Lett. 113 120402
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[10]Enomoto K, Kasa K, Kitagawa M, Takahashi Y 2008 Phys.Rev. Lett. 101 203201
[11]Blatt S, Nicholson T L, Bloom B J, Williams J R, Thomsen J W, Julienne P S, Ye J 2011 Phys. Rev. Lett. 107 073202
[12]Yan M, De Salvo B J, Ramachandhran B, Pu H, Killian T C2013 Phys. Rev. Lett. 110 123201
[13]Zhang R, Cheng Y, Zhai H, Zhang P 2015 Phys. Rev. Lett.115 135301
[14]Pagano G, Mancini M, Cappellini G, Livi L, Sias C, Catani J, Inguscio M, Fallani L 2015 Phys. Rev. Lett. 115 265301
[15]H?fer M, Riegger L, Scazza F, Hofrichter C, Fernandes D R,Parish M M, Levinsen J, Bloch I, F?lling S 2015 Phys. Rev.Lett. 115 265302
[16]Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod.Phys. 82 1225
[17]Porsev S G, Derevianko A, Fortson E N 2004 Phys. Rev. A69 021403(R)
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[19]Xu J, Zhang R, Cheng Y, Zhang P, Qi R, Zhai H 2016 Phys.Rev. A 94 033609
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[21]Isaev L, Schachenmayer J, Rey A M 2016 Phys. Rev. Lett.117 135302
[22] He L, Wang J, Peng S G, Liu X J, Hu H 2016 Phys. Rev. A94 043624
[23]Chen J G, Deng T S, Yi W, Zhang W 2016 Phys. Rev. A 94053627
[24] Iskin M 2017 Phys. Rev. A 95 013618
[25]ZhangYC,DingS,ZhangS2017Phys. Rev. A95041603(R)
[26]Wang S, Pan J S, Cui X, Zhang W, Yi W 2017 Phys. Rev. A95 043634
[27] Deng T S, Zhang W, Yi W 2017 Phys. Rev. A 96 050701(R)
[28]Zhou X, Pan J S, Liu Z X, Zhang W, Yi W, Chen G, Jia S2017 Phys. Rev. Lett. 119 185701
[29] Xu J, Qi R 2018 Eur. Phys. J. D 72 65
[30]Chen J G, Shi Y R, Zhang X, Zhang W 2018 Frontiers of Physics 4 136702
[31]SchirotzekA,WuCH,SommerA,ZwierleinMW2009Phys. Rev. Lett. 102 230402
[32]Kohstall C, Zaccanti M, Jag M, Trenkwalder A, Massignan P, Bruun G M, Schreck F, Grimm R 2012 Nature 485 615
[33]Koschorreck M, Pertot D, Vogt E, Fr?hlich B, Feld M, K?hl M 2012 Nature 485 619
[34]Nascimbène S, Navon N, Jiang K J, Tarruell L, Teichmann M, Mc Keever J, Chevy F, Salomon C 2009 Phys. Rev. Lett.103 170402
[35]Massignan P, Zaccanti M, Bruun G M 2014 Rep. Prog. Phys.77 034401
[36] Cui X, Zhai H 2010 Phys. Rev. A 81 041602(R)
[37]Pilati S, Bertaina G, Giorgini S, Troyer M 2010 Phys. Rev.Lett. 105 030405
[38]Mathy C J M, Parish M M, Huse D A 2011 Phys. Rev. Lett.106 166404
[39] Yi W, Zhang W 2012 Phys. Rev. Lett. 109 140402
[40] Zhou L, Cui X, Yi W 2014 Phys. Rev. Lett. 112 195301
[41] Nishida Y 2015 Phys. Rev. Lett. 114 115302
[42] Yi W, Cui X 2015 Phys. Rev. A 92 013620
[43] Landau L D 1933 Phys. Z. Sowjetunion 3 644
[44] Pekar S I 1946 Zh. Eksp. Teor. Fiz. 16 335
[45] Fr?hlich H, Pelzer H, Zienau S 1950 Philos. Mag. 41 221
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[47] Feynman R P 1955 Phys. Rev. 97 660
[48] Bardeen J, Baym G, Pines D 1967 Phys. Rev. 156 207
[49]Li J, Schneider W D, Berndt R, Delley B 1998 Phys. Rev.Lett. 80 2893
[50]ChikkaturAP,G?rlitzA,Stamper-KurnDM,InouyeS,Gupta S, Ketterle W 2000 Phys. Rev. Lett. 85 483
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[58] Sun M, Cui X 2017 Phys. Rev. A 96 022707
[59]Bai X D, Wang J, Liu X J, Xiong J, Deng F G, Hu H 2018Phys. Rev. A 98 023627
[60]Hu H, Mulkerin B C, Wang J, Liu X J 2018 Phys. Rev. A 98013626
[61] Chevy F 2006 Phys. Rev. A 74 063628
[62]Combescot R, Recati A, Lobo C, Chevy F 2007 Phys. Rev.Lett. 98 180402
[63] Schmidt R, Enss T 2011 Phys. Rev. A 83 063620
[64] Massignan P, Bruun G M 2011 Eur. Phys. J. D 65 83
[65]Deng T S, Lu Z C, Shi Y R, Chen J G, Zhang W, Yi W 2018Phys. Rev. A 97 013635
[66]ScazzaF,ValtolinaG,MassignanP,RecatiA,AmicoA,Burchianti A, Fort C, Inguscio M, Zaccanti M, Roati G 2017Phys. Rev. Lett. 118 083602
[67] Dyke P, Kuhnle E D, Whitlock S, Hu H, Mark M, Hoinka S,LinghamM,HannafordP,ValeCJ2011Phys. Rev. Lett.106 105304
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