Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians

• URL: http://arxiv.org/abs/2005.00607v2
• Date: Mon, 13 Sep 2021 09:29:53 GMT
• Title: Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians
• Authors: Ji\v{r}\'i Min\'a\v{r}, Bart van Voorden, Kareljan Schoutens
• Abstract summary: We propose a quantum simulation of a supersymmetric lattice model using atoms trapped in a 1D configuration and interacting through a Rydberg dressed potential. We provide an analytical description of the kink/skink dynamics and propose a protocol to prepare and detect these excitations in the quantum simulator.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a quantum simulation of a supersymmetric lattice model using atoms trapped in a 1D configuration and interacting through a Rydberg dressed potential. The elementary excitations in the model are kinks or (in a sector with one extra particle) their superpartners - the skinks. The two are connected by supersymmetry and display identical quantum dynamics. We provide an analytical description of the kink/skink quench dynamics and propose a protocol to prepare and detect these excitations in the quantum simulator. We make a detailed analysis, based on numerical simulation, of the Rydberg atom simulator and show that it accurately tracks the dynamics of the supersymmetric model.

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