Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates

• URL: http://arxiv.org/abs/2407.21466v1
• Date: Wed, 31 Jul 2024 09:25:39 GMT
• Title: Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates
• Authors: Rui Tian, Yue Zhang, Tianhao Wu, Min Liu, Yong-Chang Zhang, Shuai Li, Bo Liu,
• Abstract summary: 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. One of the interesting moir'e phenomena, i.e., the flat-band physics, is shown through investigating the dynamics of the wave packet of BEC.
• Score: 26.52467042417047
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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) moir\'{e} structures. One of the interesting moir\'{e} 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.

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