- Open Access
Dipolar mixtures in checkerboard optical bilayers
Phys. Rev. A 114, 043314 – Published 29 October, 2026
DOI: https://doi.org/10.1103/35j8-4tr1
Abstract
Ultracold dipolar mixtures in component-dependent optical potentials constitute an interesting platform for the study of the interplay between intra- and intercomponent anisotropic long-range interactions. We study the particular case of binary dipolar mixtures placed in separated bilayers which are displaced in an antimagic wavelength configuration. Using a combination of second-order perturbation theory and cluster-Gutzwiller calculations, we unveil a rich landscape of possible crystalline phases for the two components, showing that, interestingly, intersite hopping may result, via superexchange, in solid-into-solid transitions between different crystalline phases. These crystalline phases and the corresponding transitions can be experimentally realized using, e.g., lanthanide mixtures in optical lattices.
Physics Subject Headings (PhySH)
Article Text
References (31)
- T. Lahaye, C. Menotti, L. Santos, M. Lewenstein, and T. Pfau, The physics of dipolar bosonic quantum gases, Rep. Prog. Phys. 72, 126401 (2009).
- M. A. Baranov, M. Dalmonte, G. Pupillo, and P. Zoller, Condensed matter theory of dipolar quantum gases, Chem. Rev. 112, 5012 (2012).
- L. Chomaz, I. Ferrier-Barbut, F. Ferlaino, B. Laburthe-Tolra, B. L. Lev, and T. Pfau, Dipolar physics: A review of experiments with magnetic quantum gases, Rep. Prog. Phys. 86, 026401 (2023).
- L. Chomaz, R. M. W. van Bijnen, D. Petter, G. Faraoni, S. Baier, J. H. Becher, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, Observation of roton mode population in a dipolar quantum gas, Nat. Phys. 14, 442 (2018).
- H. Kadau, M. Schmitt, M. Wenzel, C. Wink, T. Maier, I. Ferrier-Barbut, and T. Pfau, Observing the Rosensweig instability of a quantum ferrofluid, Nature (London) 530, 194 (2016).
- S. Zhang, W. Yuan, N. Bigagli, H. Kwak, T. Karman, I. Stevenson, and S. Will, Observation of self-bound droplets of ultracold dipolar molecules, Nature (London) 651, 601 (2026).
- L. Tanzi, E. Lucioni, F. Famà, J. Catani, A. Fioretti, C. Gabbanini, R. N. Bisset, L. Santos, and G. Modugno, Observation of a dipolar quantum gas with metastable supersolid properties, Phys. Rev. Lett. 122, 130405 (2019).
- F. Böttcher, J.-N. Schmidt, M. Wenzel, J. Hertkorn, M. Guo, T. Langen, and T. Pfau, Transient supersolid properties in an array of dipolar quantum droplets, Phys. Rev. X 9, 011051 (2019).
- L. Chomaz, D. Petter, P. Ilzhöfer, G. Natale, A. Trautmann, C. Politi, G. Durastante, R. M. W. van Bijnen, A. Patscheider, M. Sohmen, M. J. Mark, and F. Ferlaino, Long-lived and transient supersolid behaviors in dipolar quantum gases, Phys. Rev. X 9, 021012 (2019).
- S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, Extended Bose-Hubbard models with ultracold magnetic atoms, Science 352, 201 (2016).
- L. Su, A. Douglas, M. Szurek, R. Groth, S. F. Ozturk, A. Krahn, A. H. Hébert, G. A. Phelps, S. Ebadi, S. Dickerson, F. Ferlaino, O. Marković, and M. Greiner, Dipolar quantum solids emerging in a Hubbard quantum simulator, Nature (London) 622, 724 (2023).
- A. de Paz, A. Sharma, A. Chotia, E. Maréchal, J. H. Huckans, P. Pedri, L. Santos, O. Gorceix, L. Vernac, and B. Laburthe-Tolra, Nonequilibrium quantum magnetism in a dipolar lattice gas, Phys. Rev. Lett. 111, 185305 (2013).
- A. Trautmann, P. Ilzhöfer, G. Durastante, C. Politi, M. Sohmen, M. J. Mark, and F. Ferlaino, Dipolar quantum mixtures of erbium and dysprosium atoms, Phys. Rev. Lett. 121, 213601 (2018).
- G. Durastante, C. Politi, M. Sohmen, P. Ilzhöfer, M. J. Mark, M. A. Norcia, and F. Ferlaino, Feshbach resonances in an erbium-dysprosium dipolar mixture, Phys. Rev. A 102, 033330 (2020).
- Y. A. Alaoui, B. Zhu, S. R. Muleady, W. Dubosclard, T. Roscilde, A. M. Rey, B. Laburthe-Tolra, and L. Vernac, Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms, Phys. Rev. Lett. 129, 023401 (2022).
- C. Politi, A. Trautmann, P. Ilzhöfer, G. Durastante, M. J. Mark, M. Modugno, and F. Ferlaino, Interspecies interactions in an ultracold dipolar mixture, Phys. Rev. A 105, 023304 (2022).
- F. Claude, L. Lafforgue, J. J. A. Houwman, M. J. Mark, and F. Ferlaino, Optical manipulation of spin states in ultracold magnetic atoms via an inner-shell hz transition, Phys. Rev. Res. 6, L042016 (2024).
- P. Barral, M. Cantara, L. Du, W. Lunden, J. de Hond, A. O. Jamison, and W. Ketterle, Suppressing dipolar relaxation in thin layers of dysprosium atoms, Nat. Commun. 15, 3566 (2024).
- M. Lecomte, A. Journeaux, J. Veschambre, J. Dalibard, and R. Lopes, Production and stabilization of a spin mixture of ultracold dipolar Bose gases, Phys. Rev. Lett. 134, 013402 (2025).
- T. Lauprêtre, J. D. Bernal, Y. Baamara, A. M. Rey, L. Vernac, and B. Laburthe-Tolra, Probing coherences and itinerant magnetism in a dipolar lattice gas, Phys. Rev. Lett. 136, 103401 (2026).
- S. Nie, Z. Jiang, J. Huang, X. Luo, F. Qin, K. Wang, and M. Guo, Binary dipolar condensates of dysprosium isotopes with tunable spatial order, arXiv:2606.26606.
- M. Miotto, P. Lombardi, G. Ferioli, J. Fraxanet, M. Lewenstein, L. Tanzi, and L. Barbiero, Flux magnetism in a strongly interacting dipolar lattice supersolid under tunable gauge fields, Phys. Rev. Lett. 137, 043401 (2026).
- R. Bai, S. Bandyopadhyay, S. Pal, K. Suthar, and D. Angom, Bosonic quantum Hall states in single-layer two-dimensional optical lattices, Phys. Rev. A 98, 023606 (2018).
- S. Bandyopadhyay, H. Sable, D. Gaur, R. Bai, S. Mukerjee, and D. Angom, Quantum phases of dipolar bosons in a multilayer optical lattice, Phys. Rev. A 106, 043301 (2022).
- D.-S. Lühmann, Cluster Gutzwiller method for bosonic lattice systems, Phys. Rev. A 87, 043619 (2013).
- In our CGW calculations, we determine the dipole-dipole interaction between two sites as given by the shortest distance, taking into account periodic boundary conditions.
- P. W. Anderson, Antiferromagnetism. Theory of superexchange interaction, Phys. Rev. 79, 350 (1950).
- T. Mendes-Santos, R. Mondaini, T. Paiva, and R. R. dos Santos, Kaleidoscope of phases tuned by global dipole orientations in the Hubbard model, Phys. Rev. B 108, 205128 (2023).
- M. Dürbeck, L. Reihs, J. P. Marulanda-Serna, B. Choudhari, J. Seifert, N. Werum, G. Meijer, and G. Valtolina, Dipolar Bose-Bose mixture of dysprosium isotopes with controllable interspecies interactions, Phys. Rev. A 114, L031301 (2026).
- A. González-Tudela and J. I. Cirac, Cold atoms in twisted-bilayer optical potentials, Phys. Rev. A 100, 053604 (2019).
- Z. Meng, L. Wang, W. Han, F. Liu, K. Wen, C. Gao, P. Wang, C. Chin, and J. Zhang, Atomic Bose–Einstein condensate in twisted-bilayer optical lattices, Nature (London) 615, 231 (2023).