Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians
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.
Keywords
Cite
@article{arxiv.2005.00607,
title = {Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians},
author = {Jiří Minář and Bart van Voorden and Kareljan Schoutens},
journal= {arXiv preprint arXiv:2005.00607},
year = {2021}
}
Comments
6+16 pages; Significantly extended new version with added analysis of the superpartners of the kinks - the skinks - containing one more fermion, details of quantum engineering of the model away from criticality and improvement of the quantum simulation using multiple Rydberg dressing