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arXiv · 2005.00607

Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians

Jiří Minář·Bart van Voorden·Kareljan Schoutens
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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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Jiří Minář, Bart van Voorden, Kareljan Schoutens. 2020-05-01. Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians. https://arxiv.org/abs/2005.00607

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