Scalable, ab initio protocol for quantum simulating SU(N)xU(1) Lattice Gauge Theories

Year: 2024

Authors: Surace FM., Fromholz P., Scazza F., Dalmonte M.

Autors Affiliation: CALTECH, Dept Phys, Pasadena, CA 91125 USA; CALTECH, Inst Quantum Informat & Matter, Pasadena, CA 91125 USA; Abdus Salam Int Ctr Theoret Phys ICTP, Str Costiera 11, I-34151 Trieste, Italy; Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy; Univ Trieste, Dept Phys, I-34127 Trieste, Italy; Consiglio Nazl Ric CNR INO, Ist Nazl Ott, I-34149 Basovizza Trieste.

Abstract: We propose a protocol for the scalable quantum simulation of SU(N)xU(1) lattice gauge theories with alkaline-earth like atoms in optical lattices. The protocol exploits the combination of naturally occurring SU(N) pseudo-spin symmetry and strong inter-orbital interactions that is unique to such atomic species. A detailed ab initio study of the microscopic dynamics shows how gauge invariance emerges in an accessible parameter regime, and allows us to identify the main challenges in the simulation of such theories. We provide rigorous estimates about the requirements in terms of experimental stability in relation to observing gauge invariant dynamics in both one- and two-dimensional systems, a key element for a deeper analysis on the functioning of such class of theories in both quantum simulators and computers.

Journal/Review: QUANTUM

Volume: 8      Pages from: 8643-1  to: 8643-27

More Information: We acknowledge useful discussions with Monika Aidelsburger. F. M. S. acknowledges support provided by the U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research, (DE-SC0020290) , by Amazon Web Services, AWS Quantum Program, and by the DOE QuantISED program through the theory consortium Intersections of QIS and Theoretical Particle Physics at Fermilab. The work of M. D. was partly supported by the MUR Programme FARE (MEPH) , by QUANTERA DYNAMITE PCI2022-132919, by the PNRR MUR project PE0000023-NQSTI, and by the EU-Flagship programme Pasquans2. M.D. also thanks the Yukawa Institute for Theoretical Physics for hospitality during the QIMG2023 workshop (YITP-T-23-01) . F. S. acknowledges funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grantagreement No. 949438), from the Italian MUR under the FARE programme (project FastOrbit)and the PRIN programme (project CoQuS).
KeyWords: Wannier Functions; Systems; Invariance; Dynamics; Atoms
DOI: 10.22331/q-2024-05-23-1359


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