Engineering the Kondo impurity problem with alkaline-earth-atom arrays
Abstract
We propose quantum simulation experiments of the Kondo impurity problem using cold alkaline-earth(-like) atoms (AEAs) in a combination of optical lattice and optical tweezer potentials. Within an ab initio model for atomic interactions in the optical potentials, we analyze hallmark signatures of the Kondo effect in a variety of observables accessible in cold-atom quantum simulators. We identify additional terms not part of the textbook Kondo problem, mostly ignored in previous works and giving rise to a direct competition between spin and charge correlations, strongly suppressing Kondo physics. We show that the Kondo effect can be restored by locally adjusting the chemical potential on the impurity site, and we identify realistic parameter regimes and preparation protocols suited to current experiments with AEA arrays. Our work paves the way for quantum simulations of the Kondo problem and offers insights into Kondo physics in unconventional regimes.
Copyright and License
©2025 American Physical Society.
Acknowledgement
We thank Jeff Maki and Oded Zilberberg for insightful discussions, and Pietro Massignan and Matteo Zaccanti for careful reading of this manuscript. A.A. is indebted to Michele Fabrizio for many useful discussions and suggestions.
Funding
A.A. and M.C. acknowledge financial support from the National Recovery and Resilience Plan PNRR MUR Project No. PE0000023-NQSTI. A.R. acknowledges support by the Spanish Ministerio de Ciencia e Innovación (MCIN/AEI/10.13039/501100011033, Grant No. PID2023-147469NB-C21), by the Generalitat de Catalunya (Grant No. 2021 SGR 01411), and by the ICREA Academia program. M.C. further acknowledges financial support from the National Recovery and Resilience Plan PNRR MUR Project No. CN00000013-ICSC and by MUR via PRIN 2020 (Prot. 2020JLZ52N-002) and PRIN 2022 (Prot. 20228YCYY7) programs. F.S. acknowledges funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (project OrbiDynaMIQs, Grant Agreement No. 949438), and from the Italian MUR under the FARE 2020 program (project FastOrbit, Prot. R20WNHFNKF) and the PRIN 2022 program (project Co-QuS, Prot. 2022ATM8FY).
Data Availability
The data that support the findings of this article are not publicly available. The data are available from the authors upon reasonable request.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2505.14630 (arXiv)
Funding
- Ministero dell'Università e della Ricerca
- PE0000023-NQSTI
- Ministerio de Ciencia, Innovación y Universidades
- PID2023-147469NB-C21
- Government of Catalonia
- 2021 SGR 01411
- Institució Catalana de Recerca i Estudis Avançats
- Ministero dell'Università e della Ricerca
- CN00000013-ICSC
- Ministero dell'Università e della Ricerca
- 2020JLZ52N-002
- Ministero dell'Università e della Ricerca
- 20228YCYY7
- European Research Council
- 949438
- Ministero dell'università e della ricerca
- R20WNHFNKF
- Ministero dell'università e della ricerca
- 2022ATM8FY
Dates
- Accepted
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2025-08-11