Minář J, van Voorden B, Schoutens K. Kink Dynamics and Quantum Simulation of Supersymmetric Lattice Hamiltonians.
PHYSICAL REVIEW LETTERS 2022;
128:050504. [PMID:
35179932 DOI:
10.1103/physrevlett.128.050504]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2020] [Revised: 09/07/2021] [Accepted: 01/07/2022] [Indexed: 06/14/2023]
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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