[1] [1] Bloch, Dalibard J,Zwerger W.Many-body Physics with Ultracold Gases［J］.Rev Mod Phys,2008,80:885.DOI:10.1103/RevModPhys.80.885.

[2] [2] Jaksch D,Bruder,Cirac J I,et al.Cold Bosonic Atoms in Optical Lattices［J］.Phys Rev Lett,1998,81:3108.DOI:10.1103/PhysRevLett.81.3108.

[3] [3] Milburn G J,Corney J,Wright E M,et al.Quantum Dynamics of an Atomic Bose-einstein Condensate in a Double-well Potential［J］.Phys Rev A,1997,55:4318.DOI:10.1103/PhysRevA.55.4318.

[4] [4] Nagorny B,Elsasser Th,Hemmerich A.Collective Atomic Motion in an Optical Lattice Formed Inside a High Finesse Cavity［J］.Phys Rev Lett,2003,91:153003.DOI:10.1103/PhysRevLett.91.153003.

[5] [5] Elsasser Th,Nagorny B,Hemmerich A.Optical Bistability and Collective Behavior of Atoms Trapped in a High-Q Ring Cavity［J］.Phys Rev A,2004,69:033403.DOI:10.1103/PhysRevA.69.033403.

[6] [6] Klinner J,Lindholdt M,Nagorny B,et al.Normal Mode Splitting and Mechanical Effects of an Optical Lattice in a Ring Cavity［J］.Phys Rev Lett,2006,96:023002.DOI:10.1103/PhysRevLett.96.023002.

[7] [7] Gupta S,Moore K L,Murch K W,et al.Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion［J］.Phys Rev Lett,2007,99:213601.DOI:10.1103/PhysRevLett.99.213601.

[8] [8] Stan C A,Zwierlein M W,Schunck C H,et al.Observation of Feshbach Resonances Between two Different Atomic Species［J］.Phys Rev Lett,2004,93:143001.DOI:10.1103/PhysRevLett.93.143001.

[9] [9] Inouye S,Goldwin J,Olsen M L,et al.Observation of Heteronuclear Feshbach Resonances in a Mixture of Bosons and Fermions［J］.Phys Rev Lett,2004,93:183201.DOI:10.1103/PhysRevLett.93.183201.

[10] [10] Francesca F,Chiara D E,Giacomo R,et al.Feshbach Spectroscopy of a K-Rb Atomic Mixture［J］.Phys Rev A,2006,73:040702.DOI:10.1103/PhysRevA.73.040702.

[11] [11] Ospelkaus S,Ospelkaus C,Humbert L,et al.Tuning of Here Ronuclear Interactions in a Degenerate Fermi-Bose Mixture［J］.Phys Rev Lett,2006,97:120403.DOI:10.1103/PhysRevLett.97.120403.

[12] [12] Deh B,Marok C,Zimmermann C,et al.Feshbach Resonances in Mixtures of Ultracold 6Li and 87Rb Gases［J］.Phys Rev A,2008,77:010701.DOI:10.1103/PhysRevA.77.010701.

[13] [13] Michiel S,Irakli T,Immanuel B,et al.Effect of Interactions on Harmonically Confined Bose-Fermi Mixtures in Optical Lattices［J］.Phys Rev Lett,2011,106:155301.DOI:10.1103/PhysRevLett.106.155301.

[14] [14] Kinnunen J J,Bruun G M.Induced Interactions in a Superfluid Bose-Fermi Mixture［J］.Phys Rev A,2015,91:041605.DOI:10.1103/PhysRevA.91.041605.

[15] [15] Marek N,Jarosaw P.Thermodynamic Equivalence of TwoPdimensional Imperfect Attractive Fermi and Repulsive Bose Gases［J］.Phys Rev A,2017,95:063627.DOI:10.1103/PhysRevA.95.063627.

[16] [16] Smerzi A,Fantoni S,Giovanazzi S,et al.Quantum Coherent Atomic Tunneling Between Two Trapped Bose-Einstein Condensates［J］.Phys Rev Lett,1997,79:4950.DOI:10.1103/PhysRevLett.79.4950.

[17] [17] Milburn G J,Corney J,Wright E M,et al.Quantum Dynamics of an Atomic Bose-Einstein Condensate in a Double-well Potential［J］.Phys Rev A,1997,55:4318.DOI:10.1103/PhysRevA.55.4318.

[18] [18] Raghavan S,Smerzi A,Fantoni S,et al.Coherent Oscillations Between Two Weakly Coupled Bose-Einstein Condensates:Josephson Effects,π Oscillations,and Macroscopic Quantum Self-trapping［J］.Phys Rev A,1999,59:620.DOI:10.1103/PhysRevA.59.620.

[19] [19] Albies M,Gati R,Folling J,et al.Direct Observation of Tunneling and Nonlinear Self-trapping in a Single Bosonic Josephson Junction［J］.Phys Rev Lett,2005,95:010402.DOI:10.1103/PhysRevLett.95.010402.

[20] [20] Qi Ran,Yu Xiao-lu,Li Zhi-bin,et al.Non-Abelian Josephson Effect Between Two F=2 Spinor Bose-Einstein Consensates in Double Optical Traps［J］.Phys Rev Lett,2009,102:185301.DOI:10.1103/PhysRevLett.102.185301.

[21] [21] Zhang J M,Liu W M,Zhou D L.Cavity QED with Cold Atoms Trapped in a Double-well Potential［J］.Phys Rev A,2008,77:033620.DOI:10.1103/PhysRevA.77.033620.

[22] [22] Qi Peng-tang,Duan Wen-shan.Tunneling Dynamics and Phase Transition of a Bose-Fermi Mixture in a Double Well［J］.Phys Rev A,2011,84:033627.DOI:10.1103/PhysRevA.84.033627.

[23] [23] Pollet L,Troyer M,VanHoucke K,et al.Phase Diagram of Bose-Fermi Mixtures in One-Dimensional Optical Lattices［J］.Phys Rev Lett,2006,96:190402.DOI:10.1103/PhysRevLett.96.190402.

[24] [24] Zujev A,Baldwin A,Scalettar R T,et al.Superfluid and Mott-insulator Phases of One-dimensional Bose-Fermi Mixtures［J］.Phys Rev A,2008,78:033619.DOI:10.1103/PhysRevA.78.033619.

[25] [25] Marchetti F M,Jolicoeur T,Parish M M.Stability and Pairing in Quasi-One-Dimensional Bose-Fermi Mixtures［J］.Phys Rev Lett,2009,103:105304.DOI:10.1103/PhysRevLett.103.105304.

[26] [26] Averin D V,Bergeman T.Single-atom Box:Bosonic Staircase and Effects of Parity［J］.Phys Rev A,2008,78:031601.DOI:10.1103/PhysRevA.78.031601.

[27] [27] Cheinet P,Trotzky S,Feld M,et al.Counting Atoms Using Interaction Blockade in an Optical Superlattice［J］.Phys Rev Lett,2008,101:090404.DOI:10.1103/PhysRevLett.101.090404.

[28] [28] Rinck M,Bruder C.Effects of a Single Fermion in a Bose Josephson Junction［J］.Phys Rev A,2011,83:023608.DOI:10.1103/PhysRevA.83.023608.

[30] [30] Diver M,Robb G R M,Oppo G L.Nonlinear and Chaotic Dynamics of a Bose-Einstein Condensate in an Optical Cavity［J］.Phys Rev A,2014,89:033602.DOI:10.1103/PhysRevA.89.033602.

[31] [31] Jayson C G,Christoph G,Andreas H,et al.Dynamical Control of Order in a Cavity-BEC System［J］.Phys Rev Lett,2018,121:153001.DOI:10.1103/PhysRevLett.121.153001.

[32] [32] Cheinet P,Trotzky S,Feld M,et al.Counting Atoms using Interaction Blockade in an Optical Superlattice［J］.Phys Rev Lett,2008,101:090404.DOI:10.1103/PhysRevLett.101.090404.

[33] [33] Zhang J M,Liu W M,Zhou D L.Mean-field Dynamics of a Bose Josephson in an Optical Cavity［J］.Phys Rev A,2008,78:043618.DOI:10.1103/PhysRevA.78.043618.