Published October 26, 2023 | Published
Journal Article

Dipolar quantum solids emerging in a Hubbard quantum simulator

Abstract

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range interactions play an important role in nature; however, quantum simulations of lattice systems have largely not been able to realize such interactions. A wide range of efforts are underway to explore long-range interacting lattice systems using polar molecules, Rydberg atoms, optical cavities or magnetic atoms. Here we realize novel quantum phases in a strongly correlated lattice system with long-range dipolar interactions using ultracold magnetic erbium atoms. As we tune the dipolar interaction to be the dominant energy scale in our system, we observe quantum phase transitions from a superfluid into dipolar quantum solids, which we directly detect using quantum gas microscopy with accordion lattices. Controlling the interaction anisotropy by orienting the dipoles enables us to realize a variety of stripe-ordered states. Furthermore, by transitioning non-adiabatically through the strongly correlated regime, we observe the emergence of a range of metastable stripe-ordered states. This work demonstrates that novel strongly correlated quantum phases can be realized using long-range dipolar interactions in optical lattices, opening the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.

Copyright and License

© 2025 Springer Nature Limited.

Acknowledgement

We wish to acknowledge V. Kaxiras, A. Kale, M. Xu, M. Sohmen, M. Mark and Y. Bao for help on building the experiment. We wish to acknowledge R. Sahay, B. Capogrosso-Sansone, E.-A. Kim, L. Homeier, A. Bohrdt, F. Grusdt, M. Lebrat, T. Esslinger, M. Kebric, S. Sachdev and C. A. R. Sa de Melo for helpful discussions. We are supported by the US Department of Energy Quantum Systems Accelerator (grant no. DE-AC02-05CH11231), the National Science Foundation (NSF) Center for Ultracold Atoms (grant no. PHY-1734011), the Army Research Office Defense University Research Instrumentation Program (W911NF2010104), the Office of Naval Research Vannevar Bush Faculty Fellowship (N00014-18-1-2863) and the Defense Advanced Research Projects Agency Optimization with Noisy Intermediate-Scale Quantum devices (W911NF-20-1-0021). A.D. acknowledges support from the NSF Graduate Research Fellowship Program (grant no. DGE2140743). The computations in this paper were run on the FASRC Cannon cluster supported by the FAS Division of Science Research Computing Group at Harvard University.

Data Availability

The data that support the findings of this study are available from the corresponding authors on reasonable request.

Conflict of Interest

M.G. is a cofounder and shareholder of QuEra Computing. All other authors declare no competing interests.

Supplemental Material

Extended Data Fig. 1 Adiabaticity of the lattice ramp

Extended Data Fig. 2 Histogram for digitization of occupation number

Extended Data Fig. 3 Stripe overlap in a 2 by 6 box

Additional details

Created:
September 9, 2025
Modified:
September 9, 2025