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光晶格中的冷原子系统是实现量子模拟和量子计算的有效平台之一, 其相变特性的研究有助于系统中新奇量子态物理机制的探索和实验观测. 本文利用朗道相变理论和非均匀平均场方法, 研究了人工磁场下光晶格中各向异性偶极玻色气体的相变, 得到了系统不可压缩相(Mott 绝缘相、棋盘或条纹密度波相)-可压缩相(超流、棋盘或条纹超固相)的解析相变条件, 给出了系统的完整相图. 有趣的是, 各向异性偶极相互作用会使得系统中的棋盘密度波相和棋盘超固相变为条纹密度波相和条纹超固相, 人工磁场会稳定绝缘相和超固相, 使得绝缘相和超固相在相图中的存在区域变大. 此外, 引入外加谐振势后发现系统中的不同量子相可以共存.
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关键词:
- 光晶格 /
- 各向异性偶极相互作用 /
- 人工磁场 /
- 超固相
The quantum system composed of optical lattice and ultracold atomic gas is an ideal platform for quantum simulation and quantum computing. Especially for dipolar bosons in an optical lattice with artificial gauge fields, the interplay between anisotropic dipolar interactions and artificial gauge fields leads to many novel phases. Exploring the phase transition characteristics of the system is beneficial for understanding the physics of quantum many-body systems and observing quantum states of dipolar system in experiments. In this work, we investigate the quantum phase transitions of anisotropic dipolar bosons in a two-dimensional optical lattice with an artificial magnetic fields. Using an inhomogeneous mean-field method and a Landau phase transition theory, we obtain complete phase diagrams and analytical expressions for phase boundaries between an incompressible and a compressible phase. Our results show that both the artificial magnetic field and the anisotropic dipolar interaction have a significant effect on the phase diagram. When the polar angle increases, the system undergoes the phase transition from a checkerboard supersolid to a striped supersolid. For small polar angle ($V_x/U=0.2, V_y/U=0.1$, Fig.(a)), artificial magnetic field induces both checkerboard solid and supersolid phases extend to large hopping region. For the larger polar angle ($V_x/U=0.2, V_y/U=-0.1$, Fig.(b)), artificial magnetic field induces both striped solid and striped supersolid extend to large hopping region. Thus, the artificial magnetic field stabilizes the density wave and supersolid phases. In addition, we reveal the coexistence of different quantum phases in the presence of an external trapping potential. The results provide theoretical evidence for manipulating the quantum phase in experiments with anisotropic dipolar atoms through an artificial magnetic field.-
Keywords:
- Optical lattice /
- Anisotropic dipolar interaction /
- Artificial magnetic field /
- Supersolid phase
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[1] Gross C, Bloch I 2017 Science 357 995
[2] Tan H, Cao R, Mao J Y, Li Y Q 2023 Acta Phys. Sin. 72 183701(in Chinese)[谭辉,曹睿,李永强2023物理学报72 183701]
[3] Liu J Y, Wang X Q, Xu Z F 2023 Chinese Phys. Lett. 40 086701
[4] Sukachev D, Sokolov A, Chebakov K, Akimov A, Kanorsky S, Kolachevsky N, Sorokin V 2010 Phys. Rev. A 82 011405
[5] Greiner M, Mandel O, Esslinger T, Hansch T W, Bloch I 2002 Nature (London)415 39
[6] Dash J G, Wettlaufer J S 2005 Phys. Rev. Lett. 94 235301
[7] Recati A, Stringari S 2023 Nat. Rev. Phys. 5 735
[8] Wang H, He X Y, Li S, Liu B 2023 Acta Phys. Sin. 72 100309(in Chinese)[王欢,贺夏瑶,李帅,刘博2023物理学报72 100309]
[9] Bernardet K, Batrouni G G, Troyer M 2002 Phys. Rev. B 66 054520
[10] Iskin M 2011 Phys. Rev. A 83 051606(R)[11] Baranov M A, Dalmonte M, Pupillo G, Zoller P 2012 Chem. Rev. 112 5012
[11] Gao J M, Tang R A, Xue J K 2017 EPL 117 60007
[12] Masella G, Angelone A, Mezzacapo F, Pupillo G, Prokof'ev N V 2019 Phys. Rev. Lett. 123 045301
[13] Wu H K, Tu W L 2020 Phys. Rev. A 102 053306
[14] Bandyopadhyay S, Bai S, Pal S, Suthar K, Nath R, Angom D 2019 Phys. Rev. A 100 053623
[15] Zhang J, Zhang C, Yang J, Capogrosso-Sansone B 2022 Phys. Rev. A 105 063302
[16] Griesmaier A, Werner J, Hensler S, Stuhler J, Pfau T 2005 Phys. Rev. Lett. 94 160401
[17] Yi S, You L 2000 Phys. Rev. A 61 041604
[18] Ospelkaus C, Ospelkaus S, Humbert L, Ernst P, Sengstock K, Bongs K 2006 Phys. Rev. Lett. 97 120402
[19] Léonard J, Morales A, Zupancic P, Esslinger T, Donner T 2017 Nature (London)543 87
[20] Li J-R, Lee J, Huang W, Burchesky S, Shteynas B, Top F Ç, Jamison A O, Ketterle W 2017 Nature (London)543 91
[21] Tanzi L, Lucioni E, Famà F, Catani J, Fioretti A, Gabbanini C, Bisset R N, Santos L, Modugno G 2019 Phys. Rev. Lett. 122 130405
[22] Guo M, Böttcher F, Hertkorn J, Schmidt J-N, Wenzel M, Bjchler H P, Langen T, Pfau T 2019 Nature (London)574 386
[23] Norcia M A, Politi C, Klaus L, Poli E, Sohmen M, Mark M J, Bisset R N, Santos L, Ferlaino F 2021 Nature (London)596 357
[24] Williams R A, Al-Assam S, Foot C J 2010 Phys. Rev. Lett. 104 050404
[25] Aidelsburger M, Atala M, NascimbYne S, Trotzky S, Chen Y A, Bloch I 2011 Phys. Rev. Lett. 107 255301
[26] Hügel D, Paredes B 2014 Phys. Rev. A 89 023619
[27] Grusdt F, Letscher F, Hafezi M, Fleischhauer M 2014 Phys. Rev. Lett. 113 155301
[28] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[29] Piraud M, Heidrich-Meisner F, McCulloch I P, Greschner S, Vekua T, Schollwöck U 2015 Phys. Rev. B 91 140406
[30] Orignac E, Giamarchi T 2001 Phys. Rev. B 64 144515
[31] F Kolley, M Piraud, I P McCulloch, U Schollwöck and F Heidrich-Meisner 2015 New J. Phys. 17 092001
[32] Song Y F, Yang S J 2020 New J.Phys. 22 073001
[33] Zhang X R, Yang S J 2023 Results Phys. 53 106998
[34] Oktel M Ö, Nită M, Tanatar B 2007 Phys. Rev. B 75 045133
[35] Pal S, Bai R, Bandyopadhyay S, Suthar K, Angom D 2019 Phys. Rev. A 99 053610
[36] Suthar K, Sable H, Bai R, Bandyopadhyay S, Pal S, Angom D 2020 Phys. Rev. A 102 013320
[37] Su L, Douglas A, Szurek M, Groth R, Ozturk S, Krahn A, HWbert A, Phelps G, Ebadi S, Dickerson S, Ferlaino F, Marković, Greiner M 2023 Nature 622 724
[38] Ohgoe T, Suzuki T, Kawashima N 2012 Phys. Rev. B 86 054520
[39] Bai R, Bandyopadhyay S, Pal S, Suthar K, Angom D 2018 Phys. Rev. A 98 023606
[40] Scarola V W, Pollet L, Oitmaa J, Troyer M 2009 Phys. Rev. Lett. 102 135302
[41] Iskin M, Freericks J K 2009 Phys. Rev. A 79 053634
[42] Sant'Ana F T, Pelster A, dos Santos F E A 2019 Phys. Rev. A 100 043609
[43] Iskin M 2012 Eur. Phys. J. B 85 76
[44] Sachdeva R, Singh M, Busch T 2017 Phys. Rev. A 95 063601
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