Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice
In this paper, we study a one-dimensional boson system in a superlattice potential. This system is experimentally feasible by using ultracold atomic gases, and attracts much attention these days. It is expected that the system has a topological phase called a topological Mott insulator (TMI). We sho...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa99d0 |
| _version_ | 1797750680791810048 |
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| author | Yoshihito Kuno Keita Shimizu Ikuo Ichinose |
| author_facet | Yoshihito Kuno Keita Shimizu Ikuo Ichinose |
| author_sort | Yoshihito Kuno |
| collection | DOAJ |
| description | In this paper, we study a one-dimensional boson system in a superlattice potential. This system is experimentally feasible by using ultracold atomic gases, and attracts much attention these days. It is expected that the system has a topological phase called a topological Mott insulator (TMI). We show that in strongly-interacting cases, the competition between the superlattice potential and the on-site interaction leads to various TMIs with a non-vanishing integer Chern number. Compared to the hard-core case, the soft-core boson system exhibits rich phase diagrams including various non-trivial TMIs. By using the exact diagonalization, we obtain detailed bulk-global phase diagrams including the TMIs with high Chern numbers and also various non-topological phases. We also show that in adiabatic experimental setups, the strongly-interacting bosonic TMIs exhibit the topological particle transfer, i.e., the topological charge pumping phenomenon, similarly to weakly-interacting systems. The various TMIs are characterized by topological charge pumping as it is closely related to the Chern number, and therefore the Chern number is to be observed in feasible experiments. |
| first_indexed | 2024-03-12T16:37:22Z |
| format | Article |
| id | doaj.art-50f724ebccf745b9b8932a7ca58b0d03 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:37:22Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-50f724ebccf745b9b8932a7ca58b0d032023-08-08T14:49:40ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191212302510.1088/1367-2630/aa99d0Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlatticeYoshihito Kuno0Keita Shimizu1Ikuo Ichinose2Department of Physics, Graduate School of Science, Kyoto University , Kyoto 606-8502, JapanDepartment of Applied Physics, Nagoya Institute of Technology, Nagoya 466-8555, JapanDepartment of Applied Physics, Nagoya Institute of Technology, Nagoya 466-8555, JapanIn this paper, we study a one-dimensional boson system in a superlattice potential. This system is experimentally feasible by using ultracold atomic gases, and attracts much attention these days. It is expected that the system has a topological phase called a topological Mott insulator (TMI). We show that in strongly-interacting cases, the competition between the superlattice potential and the on-site interaction leads to various TMIs with a non-vanishing integer Chern number. Compared to the hard-core case, the soft-core boson system exhibits rich phase diagrams including various non-trivial TMIs. By using the exact diagonalization, we obtain detailed bulk-global phase diagrams including the TMIs with high Chern numbers and also various non-topological phases. We also show that in adiabatic experimental setups, the strongly-interacting bosonic TMIs exhibit the topological particle transfer, i.e., the topological charge pumping phenomenon, similarly to weakly-interacting systems. The various TMIs are characterized by topological charge pumping as it is closely related to the Chern number, and therefore the Chern number is to be observed in feasible experiments.https://doi.org/10.1088/1367-2630/aa99d0Bose–Hubburd modeltopological phasesuperlattice potentialtopological charge pumping67.85.-d03.75.Lm |
| spellingShingle | Yoshihito Kuno Keita Shimizu Ikuo Ichinose Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice New Journal of Physics Bose–Hubburd model topological phase superlattice potential topological charge pumping 67.85.-d 03.75.Lm |
| title | Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice |
| title_full | Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice |
| title_fullStr | Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice |
| title_full_unstemmed | Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice |
| title_short | Various topological Mott insulators and topological bulk charge pumping in strongly-interacting boson system in one-dimensional superlattice |
| title_sort | various topological mott insulators and topological bulk charge pumping in strongly interacting boson system in one dimensional superlattice |
| topic | Bose–Hubburd model topological phase superlattice potential topological charge pumping 67.85.-d 03.75.Lm |
| url | https://doi.org/10.1088/1367-2630/aa99d0 |
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