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Chin. Phys. B, 2025, Vol. 34(8): 080304    DOI: 10.1088/1674-1056/add008
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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
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.
Keywords:  supersolid      three-dimensional (3D) optical lattice      extended Bose-Hubbard      dynamical Gutzwiller theory  
Received:  01 February 2025      Revised:  09 April 2025      Accepted manuscript online:  24 April 2025
PACS:  03.75.Mn (Multicomponent condensates; spinor condensates)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  67.85.Fg (Multicomponent condensates; spinor condensates)  
Fund: 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).
Corresponding Authors:  Dian-Cheng Zhang     E-mail:  zhangdiancheng16@mails.ucas.ac.cn

Cite this article: 

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

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