Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913454026129408 |
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| author | Tian, Rui Zhang, Yue Wu, Tianhao Liu, Min Zhang, Yong-Chang Li, Shuai Liu, Bo |
| author_facet | Tian, Rui Zhang, Yue Wu, Tianhao Liu, Min Zhang, Yong-Chang Li, Shuai Liu, Bo |
| contents | Creating crystal bilayers twisted with respect to each other would lead to large periodic supercell structures, which can support a wide range of novel electron correlated phenomena, where the full understanding is still under debate. Here, we propose a new scheme to realize a nonlinearity-induced dynamical self-organized twisted-bilayer lattice in an atomic Bose-Einstein condensate (BEC). The key idea here is to utilize the nonlinear effect from the intrinsic atomic interactions to couple different layers and induce a dynamical self-organized supercell structure, dramatically distinct from the conventional wisdom to achieve the static twisted-bilayer lattices. To illustrate that, we study the dynamics of a two-component BEC and show that the nonlinear interaction effect naturally emerged in the Gross-Pitaevskii equation of interacting bosonic ultracold atoms can dynamically induce both periodic (commensurable) and aperiodic (incommensurable) moiré structures. One of the interesting moiré phenomena, i.e., the flat-band physics, is shown through investigating the dynamics of the wave packet of BEC. Our proposal can be implemented using available state-of-the-art experimental techniques and reveal a profound connection between the nonlinearity and twistronics in cold atom quantum simulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21466 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates Tian, Rui Zhang, Yue Wu, Tianhao Liu, Min Zhang, Yong-Chang Li, Shuai Liu, Bo Quantum Gases Mesoscale and Nanoscale Physics Pattern Formation and Solitons Quantum Physics Creating crystal bilayers twisted with respect to each other would lead to large periodic supercell structures, which can support a wide range of novel electron correlated phenomena, where the full understanding is still under debate. Here, we propose a new scheme to realize a nonlinearity-induced dynamical self-organized twisted-bilayer lattice in an atomic Bose-Einstein condensate (BEC). The key idea here is to utilize the nonlinear effect from the intrinsic atomic interactions to couple different layers and induce a dynamical self-organized supercell structure, dramatically distinct from the conventional wisdom to achieve the static twisted-bilayer lattices. To illustrate that, we study the dynamics of a two-component BEC and show that the nonlinear interaction effect naturally emerged in the Gross-Pitaevskii equation of interacting bosonic ultracold atoms can dynamically induce both periodic (commensurable) and aperiodic (incommensurable) moiré structures. One of the interesting moiré phenomena, i.e., the flat-band physics, is shown through investigating the dynamics of the wave packet of BEC. Our proposal can be implemented using available state-of-the-art experimental techniques and reveal a profound connection between the nonlinearity and twistronics in cold atom quantum simulators. |
| title | Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Pattern Formation and Solitons Quantum Physics |
| url | https://arxiv.org/abs/2407.21466 |