Bose-Hubbard realization of fracton defects

• URL: http://arxiv.org/abs/2107.06786v3
• Date: Fri, 27 May 2022 06:51:20 GMT
• Title: Bose-Hubbard realization of fracton defects
• Authors: Krzysztof Giergiel, Ruben Lier, Piotr Sur\'owka, Arkadiusz Kosior
• Abstract summary: We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the symmetries and low-energy properties of the Hamiltonian we argue that the model hosts fractonic defect excitations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Bose-Hubbard models are simple paradigmatic lattice models used to study dynamics and phases of quantum bosonic matter. We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the symmetries and low-energy properties of the Hamiltonian we argue that the model hosts fractonic defect excitations. We back up our claims with exact numerical simulations of defect dynamics exhibiting mobility constraints. Moreover, we confirm the robustness of our results against fracton symmetry breaking perturbations. Finally we argue that this model can be experimentally realized in recently proposed quantum simulator platforms with big time crystals, thus paving a way for the controlled study of many-body dynamics with mobility constraints.

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