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arXiv:2009.13969 · Physical Review A

Cold-atom quantum simulator for string and hadron dynamics in non-Abelian lattice gauge theory

Raka Dasgupta, Indrakshi Raychowdhury

Published Feb 22, 2022• 37 citations
arXivHTMLPDF

Abstract

We propose an analog quantum simulator for simulating real-time dynamics of $(1+1)$-dimensional non-Abelian gauge theory well within the existing capacity of ultracold-atom experiments. The scheme calls for the realization of a two-state ultracold fermionic system in a one-dimensional bipartite lattice, and the observation of subsequent tunneling dynamics. Being based on the loop string hadron formalism of $SU(2)$ lattice gauge theory, this simulation technique is completely $SU(2)$ invariant and simulates accurate dynamics of physical phenomena such as string breaking and/or pair production. The scheme is scalable and particularly effective in simulating the theory in the weak-coupling regime, and also a bulk limit of the theory in the strong-coupling regime up to certain approximations. This paper also presents a numerical benchmark comparison of the exact spectrum and real-time dynamics of lattice gauge theory to that of the atomic Hamiltonian with an experimentally realizable range of parameters.

DOI
10.1103/physreva.105.023322

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