- Open Access
Sub-Doppler Cooling, State Preparation, and Optical Trapping of a Triel Atom
PRX Quantum 6, 040328 – Published 10 November, 2025
DOI: https://doi.org/10.1103/1znr-p9nv
Abstract
Ultracold gases of atoms from main group III (group 13) of the periodic table, also known as “triel elements,” have great potential for a new generation of quantum matter experiments. The first magneto-optical trap of a triel element (indium) was recently realized, but more progress is needed before a triel is ready for modern ultracold quantum science experiments in optical traps. Reaching this regime typically requires atoms that are cooled to the level or below, prepared in pure quantum states, and confined in a laser field. Here we report the achievement of all three of these milestones in atomic indium. First, we perform polarization gradient cooling of an indium gas to . Second, we spin polarize the gas into a single hyperfine sublevel of either the indium ground state or the metastable state. Third, we trap indium in a 1064 nm optical lattice, achieving a 3 s trap lifetime. With these results, indium is now a candidate for a next generation quantum research platform.
Physics Subject Headings (PhySH)
Popular Summary
Each time a new class of atoms has been cooled to ultralow temperatures, this has led to impactful experiments and unexpected discoveries. Alkali atoms enabled the first Bose-Einstein condensates, alkaline-earth atoms transformed atomic clocks, and dipolar atoms revealed new states of matter. Yet an interesting part of the periodic table—the triel elements (group 13)—has remained unexplored in the ultracold regime. Unlike other atoms in ultracold physics, triel elements have anisotropic short-range interactions, which are novel to quantum science and expected to reveal entirely new phenomena.
In this work, we demonstrate the key milestones needed to establish the triel atom indium as a promising system for experiments with ultracold atoms in optical traps. We first laser cool indium to 15 µK. We then prepare the atoms in pure quantum spin states, a prerequisite for many quantum experiments. Finally, we confine them in an optical lattice, with lifetimes that allow extended coherence-time measurements. Taken together, these advances enable optical-trap-based quantum experiments with indium.
Indium offers unique quantum measurement opportunities. Its short-range anisotropic interactions are predicted to give rise to novel bulk phases, and at low magnetic fields it forms a stable F = 4 spinor gas. This would be a higher-F spinor than those realized to date to our knowledge, and it would support non-Abelian excitations. The system is also expected to enable synthetic spin-orbit coupling with strongly suppressed parasitic heating. In addition, indium combines rare features including an ultranarrow optical transition, magnetic Feshbach resonances, and anisotropic light-matter interactions.
Article Text
Supplemental Material
References (54)
- M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Observation of Bose-Einstein condensation in a dilute atomic vapor, Science 269, 198 (1995).
- B. DeMarco and D. S. Jin, Onset of Fermi degeneracy in a trapped atomic gas, Science 285, 1703 (1999).
- D. M. Stamper-Kurn and M. Ueda, Spinor Bose gases: Symmetries, magnetism, and quantum dynamics, Rev. Mod. Phys. 85, 1191 (2013).
- C. Gross and I. Bloch, Quantum simulations with ultracold atoms in optical lattices, Science 357, 995 (2017).
- A. Bohrdt, L. Homeier, C. Reinmoser, E. Demler, and F. Grusdt, Exploration of doped quantum magnets with ultracold atoms, Ann. Phys. 435, 168651 (2021).. Special issue on Philip W. Anderson.
- A. Aeppli, K. Kim, W. Warfield, M. S. Safronova, and J. Ye, Clock with systematic uncertainty, Phys. Rev. Lett. 133, 023401 (2024).
- W. F. McGrew, X. Zhang, R. J. Fasano, S. A. Schäffer, K. Beloy, D. Nicolodi, R. C. Brown, N. Hinkley, G. Milani, M. Schioppo, T. H. Yoon, and A. D. Ludlow, Atomic clock performance enabling geodesy below the centimetre level, Nature 564, 87 (2018).
- C. Hofrichter, L. Riegger, F. Scazza, M. Höfer, D. R. Fernandes, I. Bloch, and S. Fölling, Direct probing of the Mott crossover in the Fermi-Hubbard model, Phys. Rev. X 6, 021030 (2016).
- S. Taie, R. Yamazaki, S. Sugawa, and Y. Takahashi, An SU(6) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling, Nat. Phys. 8, 825 (2012).
- L. Sonderhouse, C. Sanner, R. B. Hutson, A. Goban, T. Bilitewski, L. Yan, W. R. Milner, A. M. Rey, and J. Ye, Thermodynamics of a deeply degenerate SU(n)-symmetric Fermi gas, Nat. Phys. 16, 1216 (2020).
- 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 (2022).
- 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).
- D. Petter, G. Natale, R. M. W. van Bijnen, A. Patscheider, M. J. Mark, L. Chomaz, and F. Ferlaino, Probing the roton excitation spectrum of a stable dipolar Bose gas, Phys. Rev. Lett. 122, 183401 (2019).
- 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 530, 194 (2016).
- L. Chomaz, S. Baier, D. Petter, M. J. Mark, F. Wächtler, L. Santos, and F. Ferlaino, Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macrodroplet in a dipolar quantum fluid, Phys. Rev. X 6, 041039 (2016).
- E. Serrano-Ensástiga and F. Mireles, Thermal effects on the spin-domain phases of high spin- Bose-Einstein condensates with rotational symmetries, Phys. Rev. A 108, 053308 (2023).
- M. J. Martin, M. Bishof, M. D. Swallows, X. Zhang, C. Benko, J. von Stecher, A. V. Gorshkov, A. M. Rey, and J. Ye, A quantum many-body spin system in an optical lattice clock, Science 341, 632 (2013).
- S. Kolkowitz, S. L. Bromley, T. Bothwell, M. L. Wall, G. E. Marti, A. P. Koller, X. Zhang, A. M. Rey, and J. Ye, Spin–orbit-coupled fermions in an optical lattice clock, Nature 542, 66 (2017).
- X. Yu, J. Mo, T. Lu, T. Y. Tan, and T. L. Nicholson, Magneto-optical trapping of a group-III atom, Phys. Rev. A 105, L061101 (2022).
- X. Yu, J. Mo, T. Lu, T. Y. Tan, and T. L. Nicholson, Zeeman slowing of a group-III atom, Phys. Rev. Res. 4, 013238 (2022).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/1znr-p9nv for more technical details and analysis.
- J. Dalibard and C. Cohen-Tannoudji, Laser cooling below the Doppler limit by polarization gradients: Simple theoretical models, J. Opt. Soc. Am. B 6, 2023 (1989).
- C. Salomon, J. Dalibard, W. D. Phillips, A. Clairon, and S. Guellati, Laser cooling of cesium atoms below 3 microkelvins, AIP Conf. Proc. 233, 73 (1991).
- D. R. Fernandes, F. Sievers, N. Kretzschmar, S. Wu, C. Salomon, and F. Chevy, Sub-Doppler laser cooling of fermionic 40 K atoms in three-dimensional gray optical molasses, Europhys. Lett. 100, 63001 (2012).
- A. Burchianti, G. Valtolina, J. A. Seman, E. Pace, M. De Pas, M. Inguscio, M. Zaccanti, and G. Roati, Efficient all-optical production of large quantum gases using gray-molasses cooling, Phys. Rev. A 90, 043408 (2014).
- M. Walhout, U. Sterr, and S. L. Rolston, Magnetic inhibition of polarization-gradient laser cooling in - optical molasses, Phys. Rev. A 54, 2275 (1996).
- V. V. Tsyganok, V. A. Khlebnikov, E. S. Kalganova, D. A. Pershin, E. T. Davletov, I. S. Cojocaru, I. A. Luchnikov, A. V. Berezutskii, V. S. Bushmakin, V. N. Sorokin, and A. V. Akimov, Polarized cold cloud of thulium atom, J. Phys. B: At. Mol. Opt. Phys. 51, 165001 (2018).
- D. J. McCarron, A Quantum Degenerate Mixture of and , Ph.D. thesis, Durham University, 2011. http://etheses.dur.ac.uk/3242/.
- K. M. R. van der Stam, A. Kuijk, R. Meppelink, J. M. Vogels, and P. van der Straten, Spin-polarizing cold sodium atoms in a strong magnetic field, Phys. Rev. A 73, 063412 (2006).
- B. K. Sahoo and B. P. Das, Transition properties of low-lying states in atomic indium, Phys. Rev. A 84, 012501 (2011).
- D. Hansen and A. Hemmerich, Observation of multichannel collisions of cold metastable calcium atoms, Phys. Rev. Lett. 96, 073003 (2006).
- A. J. Daley, M. M. Boyd, J. Ye, and P. Zoller, Quantum computing with alkaline-earth-metal atoms, Phys. Rev. Lett. 101, 170504 (2008).
- A. V. Gorshkov, A. M. Rey, A. J. Daley, M. M. Boyd, J. Ye, P. Zoller, and M. D. Lukin, Alkaline-earth-metal atoms as few-qubit quantum registers, Phys. Rev. Lett. 102, 110503 (2009).
- M. Foss-Feig, M. Hermele, and A. M. Rey, Probing the Kondo lattice model with alkaline-earth-metal atoms, Phys. Rev. A 81, 051603 (2010).
- S. Pucher, V. Klüsener, F. Spriestersbach, J. Geiger, A. Schindewolf, I. Bloch, and S. Blatt, Fine-structure qubit encoded in metastable strontium trapped in an optical lattice, Phys. Rev. Lett. 132, 150605 (2024).
- G. Unnikrishnan, P. Ilzhöfer, A. Scholz, C. Hölzl, A. Götzelmann, R. K. Gupta, J. Zhao, J. Krauter, S. Weber, N. Makki, H. P. Büchler, T. Pfau, and F. Meinert, Coherent control of the fine-structure qubit in a single alkaline-earth atom, Phys. Rev. Lett. 132, 150606 (2024).
- V. Gomer, O. Harms, D. Haubrich, H. Schadwinkel, F. Strauch, B. Ueberholz, S. a. d. Wiesche, and D. Meschede, Magnetostatic traps for charged and neutral particles, Hyperfine Interact. 109, 281 (1997).
- L. Pezzè, A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, Quantum metrology with nonclassical states of atomic ensembles, Rev. Mod. Phys. 90, 035005 (2018).
- A. Kramida, Y. Ralchenko, J. Reader, and N. A. Team, NIST atomic spectra database (version 5.11), online (2023). https://physics.nist.gov/asd.
- U. I. Safronova, M. S. Safronova, and M. G. Kozlov, Relativistic all-order calculations of and atomic properties, Phys. Rev. A 76, 022501 (2007).
- M. S. Safronova, U. I. Safronova, and S. G. Porsev, Polarizabilities, Stark shifts, and lifetimes of the in atom, Phys. Rev. A 87, 032513 (2013).
- N. R. Hutzler, L. R. Liu, Y. Yu, and K.-K. Ni, Eliminating light shifts for single atom trapping, New J. Phys. 19, 023007 (2017).
- G. A. Phelps, A. Hébert, A. Krahn, S. Dickerson, F. Öztürk, S. Ebadi, L. Su, and M. Greiner, Sub-second production of a quantum degenerate gas, arXiv:2007.10807 [cond-mat.quant-gas].
- M. M. Aliyu, L. Zhao, X. Q. Quek, K. C. Yellapragada, and H. Loh, magic wavelength tweezers for scaling atom arrays, Phys. Rev. Res. 3, 043059 (2021).
- M. O. Brown, T. Thiele, C. Kiehl, T.-W. Hsu, and C. A. Regal, Gray-molasses optical-tweezer loading: Controlling collisions for scaling atom-array assembly, Phys. Rev. X 9, 011057 (2019).
- S. J. M. Kuppens, K. L. Corwin, K. W. Miller, T. E. Chupp, and C. E. Wieman, Loading an optical dipole trap, Phys. Rev. A 62, 013406 (2000).
- R. Grimm, M. Weidemüller, and Y. B. Ovchinnikov, Optical dipole traps for neutral atoms Adv. At., Mol., Opt. Phys. 42, 95 (2000).
- S. Uetake, R. Murakami, J. M. Doyle, and Y. Takahashi, Spin-dependent collision of ultracold metastable atoms, Phys. Rev. A 86, 032712 (2012).
- S. P. Jain, E. R. Hudson, W. C. Campbell, and V. V. Albert, Absorption-emission codes for atomic and molecular quantum information platforms, Phys. Rev. Lett. 133, 260601 (2024).
- N. Q. Burdick, Y. Tang, and B. L. Lev, Long-lived spin-orbit-coupled degenerate dipolar Fermi gas, Phys. Rev. X 6, 031022 (2016).
- C. Wang, C. Gao, C.-M. Jian, and H. Zhai, Spin-orbit coupled spinor Bose-Einstein condensates, Phys. Rev. Lett. 105, 160403 (2010).
- S. Eustice, K. Cassella, and D. Stamper-Kurn, Laser cooling of transition-metal atoms, Phys. Rev. A 102, 053327 (2020).
