Interacting bosons in a three-dimensional lattice

doi:10.1088/1674-1056/add008

中国物理B ›› 2025, Vol. 34 ›› Issue (8): 80304-080304.doi: 10.1088/1674-1056/add008

Interacting bosons in a three-dimensional lattice

Dian-Cheng Zhang(张典承)^1,† and Shi-Jie Yang(杨师杰)²

1 College of Science, Hainan Tropical Ocean University, Sanya 572022, China;
2 Department of Physics, Beijing Normal University, Beijing 100875, China

收稿日期:2025-02-01 修回日期:2025-04-09 接受日期:2025-04-24 出版日期:2025-07-17 发布日期:2025-08-08
通讯作者: Dian-Cheng Zhang E-mail:zhangdiancheng16@mails.ucas.ac.cn
基金资助:
Project supported by the Hainan Provincial Natural Science Foundation of China (Grant No. 525QN342) and the Scientific Research Foundation of Hainan Tropical Ocean University (Grant No. RHDRC202301).

Interacting bosons in a three-dimensional lattice

Dian-Cheng Zhang(张典承)^1,† and Shi-Jie Yang(杨师杰)²

1 College of Science, Hainan Tropical Ocean University, Sanya 572022, China;
2 Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2025-02-01 Revised:2025-04-09 Accepted:2025-04-24 Online:2025-07-17 Published:2025-08-08
Contact: Dian-Cheng Zhang E-mail:zhangdiancheng16@mails.ucas.ac.cn
Supported by:
Project supported by the Hainan Provincial Natural Science Foundation of China (Grant No. 525QN342) and the Scientific Research Foundation of Hainan Tropical Ocean University (Grant No. RHDRC202301).

摘要/Abstract

摘要： We theoretically investigate the extended Bose-Hubbard model using a three-dimensional cubic lattice. In the framework of the dynamical Gutzwiller mean-field theory, we identify a checkerboard supersolid phase. By considering the repulsive interactions between next-nearest-neighbor lattice sites, we further discover an exotic type of supersolid state, whose site occupancies show a stereoscopically arrayed and staggered distribution rather than checkerboard ordering. Intriguingly, if the physical observations of two neighboring layers were superimposed, they would give rise to a checkerboard configuration. This novel structure is convincingly induced by the simultaneous existence of nearest-neighbor and next-nearest-neighbor interactions. We also identify arrayed stripes in the ground state, as well as arrayed holes in the pattern of occupancies.

关键词: supersolid, three-dimensional (3D) optical lattice, extended Bose-Hubbard, dynamical Gutzwiller theory

Abstract: We theoretically investigate the extended Bose-Hubbard model using a three-dimensional cubic lattice. In the framework of the dynamical Gutzwiller mean-field theory, we identify a checkerboard supersolid phase. By considering the repulsive interactions between next-nearest-neighbor lattice sites, we further discover an exotic type of supersolid state, whose site occupancies show a stereoscopically arrayed and staggered distribution rather than checkerboard ordering. Intriguingly, if the physical observations of two neighboring layers were superimposed, they would give rise to a checkerboard configuration. This novel structure is convincingly induced by the simultaneous existence of nearest-neighbor and next-nearest-neighbor interactions. We also identify arrayed stripes in the ground state, as well as arrayed holes in the pattern of occupancies.

Key words: supersolid, three-dimensional (3D) optical lattice, extended Bose-Hubbard, dynamical Gutzwiller theory

中图分类号: (Multicomponent condensates; spinor condensates)

03.75.Mn

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 67.85.Fg (Multicomponent condensates; spinor condensates)

Dian-Cheng Zhang(张典承) and Shi-Jie Yang(杨师杰). Interacting bosons in a three-dimensional lattice[J]. 中国物理B, 2025, 34(8): 80304-080304.

Dian-Cheng Zhang(张典承) and Shi-Jie Yang(杨师杰). Interacting bosons in a three-dimensional lattice[J]. Chin. Phys. B, 2025, 34(8): 80304-080304.

参考文献

[1] Koch T, Lahaye T, Metz J, Fröhlich B, Griesmaier A and Pfau T 2008 Nat. Phys. 4 218
[2] Lu M, Youn S H and Lev B L 2010 Phys. Rev. Lett. 104 063001
[3] Zhang C, Safavi-Naini A, Rey A M and Capogrosso-Sansone B 2015 New J. Phys. 17 123014
[4] Baier S, Mark M J, Petter D, Chomaz L, Aikawa K and Cai Z 2016 Science 352 201
[5] Bandyopadhyay S, Bai R, Pal S, Suthar K, Nath R and Angom D 2019 Phys. Rev. A 100 053623
[6] Su L, Douglas A, Szurek M, Groth R, Ozturk S F and Szypryt P 2023 Nature 622 724
[7] Sengupta P, Pryadko L P, Alet F, Troyer M and Schmid G 2005 Phys. Rev. Lett. 94 207202
[8] Li J R, Lee J, Huang W, Burchesky S, Shteynas B, Cagri F, Jamison A O and Ketterle W 2017 Nature 543 91
[9] Leonard J, Morales A, Zupancic P, Esslinger T and Donner T 2017 Nature 543 87
[10] Pollet L 2019 Nature 569 494
[11] Natale G, van Bijnen R M W, Patscheider A, Petter D, Mark M J, Chomaz L and Ferlaino F 2019 Phys. Rev. Lett. 123 050402
[12] Chomaz L, Petter D, Ilzhöfer P, Natale G, Trautmann A, Politi C, Sohmen M and Ferlaino F 2019 Phys. Rev. X 9 021012
[13] Norcia M A, Politi C, Klaus L, Poli E, Sohmen M, Mark M J, Bisset R N, Santos L and Ferlaino F 2021 Nature 596 357
[14] Boninsegni M and Prokofev N V 2012 Rev. Mod. Phys. 84 759
[15] Li Y, Martone G I, Pitaevskii L P and Stringari S 2013 Phys. Rev. Lett. 110 235302
[16] Recati A and Stringari S 2023 Nat. Rev. Phys. 5 735
[17] Batrouni G G, Hébert F and Scalettar R T 2006 Phys. Rev. Lett. 97 087209
[18] Sengupta P and Batista C D 2007 Phys. Rev. Lett. 99 217205
[19] Mathey L, Danshita I and Clark C W 2009 Phys. Rev. A 79 011602
[20] Burnell F J, Parish M M, Cooper N R and Sondhi S L 2009 Phys. Rev. B 80 174519
[21] Pu D D,Wang J G, Song Y F,Wang Y Z, Cheng L H, Liu J B and Shan C J 2023 Physica A 623 128838
[22] Ng K K and Chen Y C 2008 Phys. Rev. B 77 052506
[23] Danshita I and Sá de Melo C A R 2009 Phys. Rev. Lett. 103 225301
[24] Capogrosso-Sansone B, Trefzger C, Lewenstein M, Zoller P and Pupillo G 2010 Phys. Rev. Lett. 104 125301
[25] Danshita I and Yamamoto D 2010 Phys. Rev. A 82 013645
[26] Boninsegni M 2003 J. Low Temp. Phys. 132 39
[27] Wessel S and Troyer M 2005 Phys. Rev. Lett. 95 127205
[28] Heidarian D and Damle K 2005 Phys. Rev. Lett. 95 127206
[29] Boninsegni M and Prokofev N 2005 Phys. Rev. Lett. 95 237204
[30] Isakov S V,Wessel S, Melko R G, Sengupta K and Kim Y B 2006 Phys. Rev. Lett. 97 147202
[31] Trefzger C, Menotti C and Lewenstein M 2009 Phys. Rev. Lett. 103 035304
[32] Fisher M P A, Weichman P B, Grinstein G and Fisher D S 1989 Phys. Rev. B 40 546
[33] Jaksch D, Bruder C, Cirac J I, Gardiner C W and Zoller P 1998 Phys. Rev. Lett. 81 3108
[34] Altman E and Auerbach A 2002 Phys. Rev. Lett. 89 250404
[35] Kashurnikov V A, Prokofev N V and Svistunov B V 2002 Phys. Rev. A 66 031601
[36] Dutta O, Gajda M, Hauke P, Lewenstein M, Lühmann D S and Malomed B A 2015 Rep. Prog. Phys. 78 066001
[37] Chen H J, Yu Y Q, Zheng D C and Liao R Y 2020 Sci. Rep. 10 9076
[38] Kuno Y, Shimizu K and Ichinose I 2017 Phys. Rev. A 95 013607
[39] Batrouni G G, Rousseau V G, Scalettar R T and Gremaud B 2015 J. Phys.: Conf. Ser. 640 012042
[40] Biedron K, Lacki M and Zakrzewski J 2018 Phys. Rev. B 97 245102
[41] Singh M, Mondal S, Sahoo B K and Mishra T 2017 Phys. Rev. A 96 053604
[42] Kimura T 2011 Phys. Rev. A 84 063630
[43] Ohgoe T, Suzuki T and Kawashima N 2012 Phys. Rev. B 86 054520
[44] Su X Q, Xu Z J and Zhao Y Q 2023 Chin. Phys. B 32 020506
[45] Batrouni G G, Scalettar R T, Zimanyi G T and Kampf A P 1995 Phys. Rev. Lett. 74 2527
[46] Hébert F, Batrouni G G, Scalettar R T, Schmid G, TroyerMand Dorneich A 2001 Phys. Rev. B 65 014513
[47] Yamamoto D, Masaki A and Danshita I 2012 Phys. Rev. B 86 054516
[48] Wu H K and Tu W L 2020 Phys. Rev. A 102 053306
[49] Góral K, Santos L and Lewenstein M 2002 Phys. Rev. Lett. 88 170406
[50] Frey E and Balents L 1997 Phys. Rev. B 55 1050
[51] Yi S, Li T and Sun C P 2007 Phys. Rev. Lett. 98 260405
[52] Yamamoto K, Todo S and Miyashita S 2009 Phys. Rev. B 79 094503
[53] Xi B, Ye F, Chen W, Zhang F and Su G 2011 Phys. Rev. B 84 054512
[54] Ohgoe T, Suzuki T and Kawashima N 2012 Phys. Rev. Lett. 108 185302
[55] Jaksch D, Venturi V, Cirac J I, Williams C J and Zoller P 2007 Phys. Rev. Lett. 89 040402
[56] Trefzger C, Menotti C and Capogrosso-Sansone B 2011 J. Phys. B: At. Mol. Opt. Phys. 44 193001
[57] Kovrizhin D L, Pai G V and Sinha S 2005 Europhys. Lett. 72 162
[58] Li Y, Xing C, Gong M, Guo G and Yuan J 2024 Chin. Phys. Lett. 41 026701
[59] Suthar K, Sable H, Bai R, Pal S and Angom D 2020 Phys. Rev. A 102 013320
[60] Natale G, van Bijnen R M W, Patscheider A, Petter D, Mark M J, Chomaz L and Ferlaino F 2019 Phys. Rev. Lett. 123 050402

Interacting bosons in a three-dimensional lattice

Interacting bosons in a three-dimensional lattice

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

Metrics

本文评价

推荐阅读 0

[1]	Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis[J]. 中国物理B, 2023, 32(2): 20506-020506.
[2]	陈起辉, 李鹏. Diverse solid and supersolid phases of bosons in a triangular lattice[J]. 中国物理B, 2014, 23(5): 56701-056701.
[3]	王艳成, 张万舟, 邵慧, 郭文安. Extended Bose–Hubbard model with pair hopping on triangular lattice[J]. 中国物理B, 2013, 22(9): 96702-096702.