- Letter
- Open Access
Magnetic atoms with a large electric dipole moment
Phys. Rev. A 114, L040801 – Published 15 October, 2026
DOI: https://doi.org/10.1103/mtyy-l197
Abstract
We experimentally show that an electric dipole moment of more than 1 Debye can be induced in the dysprosium (Dy) atom, in a long-lived state that is about above the ground state. This metastable state is part of a strongly coupled opposite-parity doublet. Using optically detected microwave spectroscopy in an atomic beam, we determine the approximately doublet spacing for the five stable bosonic isotopes of Dy with kilohertz-level accuracy. From the shift of the microwave transition frequency in low electric fields (below 150 V/cm) and from optical spectra in high electric fields (up to 150 kV/cm), a reduced transition dipole moment of 7.65 0.05 Debye between the doublet states is extracted. In high electric fields the doublet interacts with a third state at that connects to the ground state via an electric-dipole transition. The three-state Stark interaction enables preparation of Dy atoms in the metastable state via single-photon excitation from the ground state. Our work experimentally validates predicted characteristics of the opposite-parity doublet and provides an effective route to the first doubly polar quantum gas of atoms.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (30)
- 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).
- C. M. Holland, Y. Lu, and L. W. Cheuk, On-demand entanglement of molecules in a reconfigurable optical tweezer array, Science 382, 1143 (2023).
- Y. Bao, S. S. Yu, L. Anderegg, E. Chae, W. Ketterle, K.-K. Ni, and J. M. Doyle, Dipolar spin-exchange and entanglement between molecules in an optical tweezer array, Science 382, 1138 (2023).
- L. R. B. Picard, A. J. Park, G. E. Patenotte, S. Gebretsadkan, D. Wellnitz, A. M. Rey, and K.-K. Ni, Entanglement and iSWAP gate between molecular qubits, Nature (London) 637, 821 (2025).
- D. K. Ruttley, T. R. Hepworth, A. Guttridge, and S. L. Cornish, Long-lived entanglement of molecules in magic-wavelength optical tweezers, Nature (London) 637, 827 (2025).
- A. Micheli, G. K. Brennen, and P. Zoller, A toolbox for lattice-spin models with polar molecules, Nat. Phys. 2, 341 (2006).
- S. Finelli, A. Ciamei, B. Restivo, M. Schemmer, A. Cosco, M. Inguscio, A. Trenkwalder, K. Zaremba-Kopczyk, M. Gronowski, M. Tomza, and M. Zaccanti, Ultracold : A new pathway to quantum gases of paramagnetic polar molecules, PRX Quantum 5, 020358 (2024).
- Y. T. S. van de Meerakker, H. L. Bethlem, N. Vanhaecke, and G. Meijer, Manipulation and control of molecular beams, Chem. Rev. 112, 4828 (2012).
- V. Andreev et al. (ACME Collaboration), Improved limit on the electric dipole moment of the electron, Nature (London) 562, 355 (2018).
- T. S. Roussy, L. Caldwell, T. Wright, W. B. Cairncross, Y. Shagam, K. B. Ng, N. Schlossberger, S. Y. Park, A. Wang, J. Ye, and E. A. Cornell, An improved bound on the electron's electric dipole moment, Science 381, 46 (2023).
- 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).
- 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. 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).
- 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).
- D. Budker, D. DeMille, E. D. Commins, and M. S. Zolotorev, Investigation of nearly degenerate opposite parity states in atomic dysprosium, Phys. Rev. Lett. 70, 3019 (1993).
- B. M. Roberts, V. A. Dzuba, and V. V. Flambaum, Parity and time-reversal violation in atomic systems, Annu. Rev. Nucl. Part. Sci. 65, 63 (2015).
- J. F. Wyart, Interpretation du spectre de Dy I: I. Étude des configurations impaires, Physica 75, 371 (1974).
- M. Lepers, H. Li, J.-F. Wyart, G. Quéméner, and O. Dulieu, Ultracold rare-earth magnetic atoms with an electric dipole moment, Phys. Rev. Lett. 121, 063201 (2018).
- C. Mishra, L. Santos, and R. Nath, Self-bound doubly dipolar Bose-Einstein condensates, Phys. Rev. Lett. 124, 073402 (2020).
- R. Ghosh, C. Mishra, L. Santos, and R. Nath, Droplet arrays in doubly dipolar Bose-Einstein condensates, Phys. Rev. A 106, 063318 (2022).
- G. Anich, N. Höllrigl, M. Kreyer, R. Grimm, and E. Kirilov, Comprehensive characterization of an apparatus for cold electromagnetic dysprosium dipoles, Phys. Rev. A 110, 023311 (2024).
- R. Ghosh, M. Ciardi, R. Nath, and F. Cinti, Path integral Monte Carlo study of a doubly dipolar Bose gas, Phys. Rev. B 110, 014513 (2024).
- T. Langen, G. Valtolina, D. Wang, and J. Ye, Quantum state manipulation and cooling of ultracold molecules, Nat. Phys. 20, 702 (2024).
- W. C. Martin, R. Zalubas, and L. Hagan, Atomic energy levels - the rare-earth elements: the spectra of lanthanum, cerium, praseodymium, neodymium, promethium, samarium, europium, gadolinium, terbium, dysprosium, holmium, erbium, thulium, ytterbium, and lutetitum, Technical Report No. NBS NSRDS 60, National Institute of Standards and Technology, Gaithersburg, MD, 1978, https://doi.org/10.6028/NBS.NSRDS.60.
- S. Truppe, S. Marx, S. Kray, M. Doppelbauer, S. Hofsäss, H. C. Schewe, N. Walter, J. Pérez-Ríos, B. G. Sartakov, and G. Meijer, Spectroscopic characterization of aluminum monofluoride with relevance to laser cooling and trapping, Phys. Rev. A 100, 052513 (2019).
- J. W. M. Dekker, P. F. A. Klinkenberg, and J. F. Langkemper, Optical isotope shifts and nuclear deformation in dysprosium, Physica 39, 393 (1968).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/mtyy-l197 for measured and fitted transition frequencies in high electric fields, details of the three-level Stark-interaction model, expressions for the Stark interaction matrix elements, determination of the reduced transition dipole moments, and the contribution of the differential static polarizability, which includes to Refs. [19, 30].
- M. Karra, K. Sharma, B. Friedrich, S. Kais, and D. Herschbach, Prospects for quantum computing with an array of ultracold polar paramagnetic molecules, J. Chem. Phys. 144, 094301 (2016).
- J. K. G. Watson, Rounding errors in the reporting of least-squares parameters, J. Mol. Spectrosc. 66, 500 (1977).