Flat-band many-body localization and ergodicity breaking in the Creutz ladder
We study disorder-free many-body localization in the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band structure of the system leads to a Wannier wavefunction localized on four adjacent lattice sites. In the flat-band r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab6352 |
| _version_ | 1797750287439495168 |
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| author | Yoshihito Kuno Takahiro Orito Ikuo Ichinose |
| author_facet | Yoshihito Kuno Takahiro Orito Ikuo Ichinose |
| author_sort | Yoshihito Kuno |
| collection | DOAJ |
| description | We study disorder-free many-body localization in the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band structure of the system leads to a Wannier wavefunction localized on four adjacent lattice sites. In the flat-band regime both with and without interactions, the level spacing analysis exhibits Poisson-like distribution indicating the existence of disorder-free localization. Calculations of the inverse participation ratio support this observation. Interestingly, this type of localization is robust to weak disorders, whereas for strong disorders, the system exhibits a crossover into the conventional disorder-induced many-body localizated phase. Physical picture of this crossover is investigated in detail. We also observe non-ergodic dynamics in the flat-band regime without disorder. The memory of an initial density wave pattern is preserved for long times. |
| first_indexed | 2024-03-12T16:31:30Z |
| format | Article |
| id | doaj.art-6c8f2304dadc47dc814b86db005f9d13 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:30Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-6c8f2304dadc47dc814b86db005f9d132023-08-08T15:28:41ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122101303210.1088/1367-2630/ab6352Flat-band many-body localization and ergodicity breaking in the Creutz ladderYoshihito Kuno0Takahiro Orito1Ikuo 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, JapanWe study disorder-free many-body localization in the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band structure of the system leads to a Wannier wavefunction localized on four adjacent lattice sites. In the flat-band regime both with and without interactions, the level spacing analysis exhibits Poisson-like distribution indicating the existence of disorder-free localization. Calculations of the inverse participation ratio support this observation. Interestingly, this type of localization is robust to weak disorders, whereas for strong disorders, the system exhibits a crossover into the conventional disorder-induced many-body localizated phase. Physical picture of this crossover is investigated in detail. We also observe non-ergodic dynamics in the flat-band regime without disorder. The memory of an initial density wave pattern is preserved for long times.https://doi.org/10.1088/1367-2630/ab6352Creutz ladder modelmany body localizationflat-band |
| spellingShingle | Yoshihito Kuno Takahiro Orito Ikuo Ichinose Flat-band many-body localization and ergodicity breaking in the Creutz ladder New Journal of Physics Creutz ladder model many body localization flat-band |
| title | Flat-band many-body localization and ergodicity breaking in the Creutz ladder |
| title_full | Flat-band many-body localization and ergodicity breaking in the Creutz ladder |
| title_fullStr | Flat-band many-body localization and ergodicity breaking in the Creutz ladder |
| title_full_unstemmed | Flat-band many-body localization and ergodicity breaking in the Creutz ladder |
| title_short | Flat-band many-body localization and ergodicity breaking in the Creutz ladder |
| title_sort | flat band many body localization and ergodicity breaking in the creutz ladder |
| topic | Creutz ladder model many body localization flat-band |
| url | https://doi.org/10.1088/1367-2630/ab6352 |
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