Ultratight confinement of atoms in a Rydberg empowered optical lattice
Department of Physics, University of Tehran, Tehran 14395-547, Iran
| Published: | 2025-01-08, volume 9, page 1585 |
| Editor: | Tommaso Macrì |
| Eprint: | arXiv:2301.04450v4 |
| Doi: | https://doi.org/10.22331/q-2025-01-08-1585 |
| Citation: | Quantum 9, 1585 (2025). |
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Abstract
Optical lattices serve as fundamental building blocks for atomic quantum technology. However, the scale and resolution of these lattices are diffraction-limited to the light wavelength. In conventional lattices, achieving tight confinement of single sites requires high laser intensity, which unfortunately leads to reduced coherence due to increased scattering. This article presents a novel approach for creating an atomic optical lattice with a sub-wavelength spatial structure. The potential is generated by leveraging the nonlinear optical response of three-level Rydberg-dressed atoms, which allows us to overcome the diffraction limit of the driving fields. The resulting lattice comprises a three-dimensional array of ultra-narrow Lorentzian wells over nanometer scales. These unprecedented scales can now be accessed through a hybrid scheme that combines the dipolar interaction and optical twist of atomic eigenstates. The interaction-induced two-body resonance that forms the trapping potential, only occurs at a peculiar laser intensity, localizing the trap sites to ultra-narrow regions over the standing-wave driving field. The feasibility study shows that single-atom confinement in Lorentzian sites with 3nm width, and 37MHz depth are realizable with available lasers. The development of these ultra-narrow trapping techniques holds great promise for applications such as Rydberg-Fermi gates, atomtronics, quantum walks, Hubbard models, and neutral-atom quantum simulation.

Featured image: Ultratight atomic confinement in a Rydberg-powered optical lattice. This novel quantum trapping mechanism leverages the synergy between Rydberg interactions and energy state twisting at resonant nodes of a standing-wave laser field. By achieving sub-wavelength atomic localization, this groundbreaking approach paves the way for advancements in quantum technologies.
Popular summary
Optical lattices—arrangements of light used to trap and manipulate atoms—are essential tools in quantum science. However, the spatial precision of these lattices is fundamentally limited by the wavelength of light, making it challenging to confine atoms to extremely small regions. This limitation affects several advanced quantum applications, such as quantum simulators and high-fidelity quantum gates.
In a groundbreaking development, researchers have proposed a novel method to overcome this diffraction limit using the unique properties of Rydberg atoms—atoms excited to extremely high energy states. By combining the dipolar interactions between Rydberg atoms with a cleverly designed standing-wave laser field, this approach creates ultra-narrow trapping potentials that are unprecedented in precision. The resulting lattice, which achieves spatial widths as small as 3 nanometers (about the size of a DNA molecule), marks a dramatic improvement over conventional optical lattices.
How Does It Work?
At the heart of this innovation is the use of Rydberg dressing, a technique that mixes ground-state atoms with a small fraction of Rydberg states. This dressing process introduces strong, distance-dependent interactions between pairs of atoms. When exposed to a specially engineered laser field, these interactions generate narrow potential wells at precise locations in space. These wells are shaped by quantum effects and exhibit remarkable stability and depth—ideal for trapping individual atoms.
Unlike traditional optical lattices, where the trapping potential is determined by the classical ac-Stark shift, this new lattice leverages a phenomenon called interaction-induced resonance. This quantum effect allows the potential to confine atoms into ultra-narrow Lorentzian wells, with depths reaching tens of megahertz. Furthermore, the lattice structure is fixed in space, ensuring the precise localization of atoms for quantum processing.
Applications and Implications
This technique opens the door to a host of exciting applications:
– Quantum Computing: The ultratight confinement enables the creation of high-fidelity quantum gates, such as the Rydberg-Fermi gate, which rely on precise atom positioning.
– Quantum Simulations: The improved spatial resolution allows for the study of complex quantum phenomena, such as the Hubbard model, which describes particle interactions in materials.
– Atomtronics: The lattice’s ability to create repulsive potentials can be used to develop quantum analogs of electronic circuits, paving the way for atom-based technologies.
Additionally, this approach enhances the energy scales of atom interactions, making it easier to observe quantum effects at higher temperatures—a critical requirement for practical quantum technologies.
Overcoming Challenges
One might wonder whether such extreme confinement could lead to instability or decoherence. The study shows that the primary sources of noise, such as laser intensity fluctuations and spontaneous emission, can be mitigated effectively. For instance, the heating rates caused by laser noise are minimal due to the tight control over laser frequencies and power. Similarly, the interaction-induced potential ensures that only one atom occupies each site, preventing unwanted atomic collisions.
A Glimpse into the Future
This development represents a significant step forward in the field of quantum technology. By breaking the diffraction limit and achieving nanometer-scale control, this method not only expands the capabilities of quantum simulation and computation but also pushes the boundaries of atomic physics. As laser and optical technologies continue to advance, we can anticipate even greater strides in creating scalable and robust quantum systems.
In summary, this work transforms the way we think about optical lattices and atomic trapping. By leveraging the unique properties of Rydberg atoms, it introduces a versatile platform with immense potential to accelerate progress in quantum science and beyond.
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► References
[1] M. Khazali, W. Lechner, Scalable quantum processors empowered by the Fermi scattering of Rydberg electrons. Comms. Phys. 6, 57 (2023).
https://doi.org/10.1038/s42005-023-01174-4
[2] M. Khazali, Universal terminal for cloud quantum computing. Scientific Reports 14, 15412 (2024).
https://doi.org/10.1038/s41598-024-65899-0
[3] M. Khazali, Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction, Quantum 6, 664 (2022).
https://doi.org/10.22331/q-2022-03-03-664
[4] Hollerith, S., et al., Realizing distance-selective interactions in a Rydberg-dressed atom array. Phys. Rev. Lett. 128, 113602 (2022).
https://doi.org/10.1103/PhysRevLett.128.113602
[5] C. Ates, T. Pohl, T. Pattard, and J. M. Rost, Antiblockade in Rydberg excitation of an ultracold lattice gas. Phys. Rev. Lett. 98, 023002 (2007).
https://doi.org/10.1103/PhysRevLett.98.023002
[6] Wu, J. L., Wang, Y., Han, J. X., Su, S. L., Xia, Y., Jiang, Y. & Song, J. Unselective ground-state blockade of Rydberg atoms for implementing quantum gates. Front. Phys. 17, 22501 (2022).
https://doi.org/10.1007/s11467-021-1104-7
[7] Graham, T.M., Kwon, M., Grinkemeyer, B., Marra, Z., Jiang, X., Lichtman, M.T., Sun, Y., Ebert, M. and Saffman, M., Rydberg-mediated entanglement in a two-dimensional neutral atom qubit array. Phys. Rev. lett. 123, 230501 (2019).
https://doi.org/10.1103/PhysRevLett.123.230501
[8] A. Pagano, S. Weber, D. Jaschke, T. Pfau, F. Meinert, S. Montangero, and H. P. Büchler, Error budgeting for a controlled-phase gate with strontium-88 Rydberg atoms, Phys. Rev. Research 4, 033019 (2022).
https://doi.org/10.1103/PhysRevResearch.4.033019
[9] Cetina, M., Egan, L.N., Noel, C., Goldman, M.L., Biswas, D., Risinger, A.R., Zhu, D. and Monroe, C., Control of transverse motion for quantum gates on individually addressed atomic qubits. PRX Quantum 3, 010334 (2022).
https://doi.org/10.1103/PRXQuantum.3.010334
[10] Brennen, G.K., Caves, C.M., Jessen, P.S. and Deutsch, I.H., Quantum logic gates in optical lattices. Phys. Rev. Lett. 82, 1060 (1999).
https://doi.org/10.1103/PhysRevLett.82.1060
[11] Cirac, Juan I., and Peter Zoller. Quantum computations with cold trapped ions. Phys. Rev. Lett. 74(20), 4091 (1995).
https://doi.org/10.1103/PhysRevLett.74.4091
[12] Wang, Yang, et al. Dark state optical lattice with a subwavelength spatial structure. Phys. Rev. Lett. 120, 083601 (2018).
https://doi.org/10.1103/PhysRevLett.120.083601
[13] Tsui, T. C., Wang, Y., Subhankar, S., Porto, J. V., & Rolston, S. L. Realization of a stroboscopic optical lattice for cold atoms with subwavelength spacing. Phys. Rev. A, 101, 041603 (2020).
https://doi.org/10.1103/PhysRevA.101.041603
[14] M. Saffman, T. G. Walker, and K. Mølmer. Quantum information with Rydberg atoms. Rev. Pod. Phys. 82, 2313 (2010).
https://doi.org/10.1103/RevModPhys.82.2313
[15] M. Khazali and K. Mølmer. Fast multiqubit gates by adiabatic evolution in interacting excited-state manifolds of Rydberg atoms and superconducting circuits. Phys. Rev. X 10, 021054, (2020).
https://doi.org/10.1103/PhysRevX.10.021054
[16] M. Khazali, C. R Murray, and T. Pohl. Polariton exchange interactions in multichannel optical networks. Phys. Rev. Lett. 123 113605, (2019).
https://doi.org/10.1103/PhysRevLett.123.113605
[17] M. Khazali, K. Heshami, and C. Simon. Photon-photon gate via the interaction between two collective Rydberg excitations. Physical Review A, 91 030301, (2015).
https://doi.org/10.1103/PhysRevA.91.030301
[18] M. Khazali, All-optical quantum information processing via a single-step Rydberg blockade gate. Optics Express 31(9), 13970-13980 (2023).
https://doi.org/10.1364/OE.481256
[19] M. Khazali, K. Heshami, and C. Simon. Single-photon source based on Rydberg exciton blockade. J. Phys. B: At. Mol. Opt. Phys. 50, 215301, (2017).
https://doi.org/10.1088/1361-6455/aa8d7c
[20] M. Khazali, "Quantum information and computation with Rydberg atoms." Iranian Journal of Applied Physics 10 19 (2021); M. Khazali, Applications of Atomic Ensembles for Photonic Quantum Information Processing and Fundamental Tests of Quantum Physics. Diss. University of Calgary (Canada), (2016).
https://doi.org/10.22051/ijap.202134445.1188
[21] J. Zeiher, R. Van Bijnen, P. Schaus, S. Hild, J. Choi, T. Pohl, I. Bloch, and C. Gross. Many-body interferometry of a Rydberg-dressed spin lattice. Nature Physics 12, 1095-1099 (2016).
https://doi.org/10.1038/nphys3835
[22] Hines, J. A., Rajagopal, S. V., Moreau, G. L., Wahrman, M. D., Lewis, N. A., Markovi, O., & Schleier-Smith, M. Spin Squeezing by Rydberg Dressing in an Array of Atomic Ensembles. Phys. Rev. Lett. 131, 063401 (2023).
https://doi.org/10.1103/PhysRevLett.131.063401
[23] Eckner, William J., Nelson Darkwah Oppong, Alec Cao, Aaron W. Young, William R. Milner, John M. Robinson, Jun Ye, and Adam M. Kaufman. Realizing spin squeezing with Rydberg interactions in a programmable optical clock. Nature 621, 734-739 (2023).
https://doi.org/10.1038/s41586-023-06360-6
[24] M. Khazali, H. W. Lau, A. Humeniuk, and C. Simon. Large energy superpositions via Rydberg dressing. Phys. Rev. A 94, 023408, (2016).
https://doi.org/10.1103/PhysRevA.94.023408
[25] M. Khazali, Progress towards macroscopic spin and mechanical superposition via Rydberg interaction. Phys. Rev. A 98, 043836, (2018).
https://doi.org/10.1103/PhysRevA.98.043836
[26] M. Khazali, Fast multicomponent cat-state generation under resonant or strong-dressing Rydberg-Kerr interaction, Phys. Rev. A 109, 053716 (2024).
https://doi.org/10.1103/PhysRevA.109.053716
[27] Santos, L., Shlyapnikov, G. V., Zoller, P., & Lewenstein, M. Bose-Einstein condensation in trapped dipolar gases. Phys. Rev. Lett. 85, 1791 (2000).
https://doi.org/10.1103/PhysRevLett.85.1791
[28] Honer, J., Weimer, H., Pfau, T., & Büchler, H. P. Collective many-body interaction in Rydberg dressed atoms. Phys. Rev. Lett. 105, 160404 (2010).
https://doi.org/10.1103/PhysRevLett.105.160404
[29] C. Gaul, B. J. DeSalvo, J. A. Aman, F. B. Dunning, T. C. Killian, and T. Pohl, Resonant Rydberg Dressing of Alkaline-Earth Atoms via Electromagnetically Induced Transparency, Phys. Rev. Lett. 116, 243001 (2016).
https://doi.org/10.1103/PhysRevLett.116.243001
[30] M. Khazali, Rydberg noisy dressing and applications in making soliton molecules and droplet quasicrystals, Phys. Rev. Research 3, L032033 (2021).
https://doi.org/10.1103/PhysRevResearch.3.L032033
[31] Henkel, N., Cinti, F., Jain, P., Pupillo, G. and Pohl, T., Supersolid vortex crystals in Rydberg-dressed Bose-Einstein condensates. Phys. Rev. Lett. 108, 265301 (2012).
https://doi.org/10.1103/PhysRevLett.108.265301
[32] Shi, Zeyun, and Guoxiang Huang. Self-organized structures of two-component laser fields and their active control in a cold Rydberg atomic gas. Phys. Rev. A 104, 013511 (2021).
https://doi.org/10.1103/PhysRevA.104.013511
[33] Shi, Zeyun, Weibin Li, and Guoxiang Huang. Structural phase transitions of optical patterns in atomic gases with microwave-controlled Rydberg interactions. Phys. Rev. A 102, 023519 (2020).
https://doi.org/10.1103/PhysRevA.102.023519
[34] Z. Shi, and G. Huang, Selection and cloning of periodic optical patterns with a cold Rydberg atomic gas. Optics Letters 46, 5344-5347 (2021).
https://doi.org/10.1103/PhysRevA.102.023519
[35] Shi, Zeyun, Fazal Badshah, and Lu Qin. Two-dimensional lattice soliton and pattern formation in a cold Rydberg atomic gas with nonlocal self-defocusing Kerr nonlinearity. Chaos, Solitons & Fractals 166, 112886 (2023).
https://doi.org/10.1016/j.chaos.2022.112886
[36] Shi, Zeyun, et al. "Faraday pattern formations in temporally driven Rydberg-dressed Bose-Einstein condensates." Phys. Rev. A 108, 063317 (2023).
https://doi.org/10.1103/PhysRevA.108.063317
[37] Shi, Zeyun, et al. Spatially modulated control of pattern formation in a general nonlocal nonlinear system. Chaos, Solitons & Fractals 175, 113929(2023).
https://doi.org/10.1016/j.chaos.2023.113929
[38] Shi, Zeyun, et al. "Optical pattern formation in a rydberg-dressed atomic gas with non-hermitian potentials. Photonics 9, 11 (2022).
https://doi.org/10.3390/photonics9110856
[39] Shi, Z., Khazali, M., Qin, L., Zhou, Y., & Zhong, Y. Pattern formations and their active manipulation in a Rydberg noisy-dressed Bose–Einstein condensate. Optics Letters 49 (2024): 6517-6520.
https://doi.org/10.1364/OL.536991
[40] Shi, Zeyun, et al., Optical pattern formation of laser fields in the Rydberg atomic gases. Optics Express 32 (2024): 35366-35380.
[41] Shi, Zeyun, et al. Optical solitons and optical patterns controlled by a moiré lattice potential in a Rydberg atomic gas. Phys. Rev. A 110, 023513 (2024).
https://doi.org/10.1103/PhysRevA.110.023513
[42] S. Kunze, R. Hohmann, H. J. Kluge, J. Lantzsch, L. Monz, J. Stenner, K. Stratmann, K. Wendt, and K. Zimmer, Lifetime measurements of highly excited Rydberg states of strontium I, Z. Phys. D 27, 111 (1993).
https://doi.org/10.1007/BF01426757
[43] N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, Sub-poissonian loading of single atoms in a microscopic dipole trap. Nature 411, 1024 (2001).
https://doi.org/10.1038/35082512
[44] N. Schlosser, G. Reymond, and P. Grangier, Collisional blockade in microscopic optical dipole traps. Phys. Rev. Lett. 89, 023005 (2002).
https://doi.org/10.1103/PhysRevLett.89.023005
[45] Savard, T. A., O’hara, K. M., & Thomas, J. E., Laser-noise-induced heating in far-off resonance optical traps. Phys. Rev. A, 56, R1095 (1997).
https://doi.org/10.1103/PhysRevA.56.R1095
[46] Wang, Y., Wang, K., Fenton, E. F., Lin, Y. W., Ni, K. K., & Hood, J. D. Reduction of laser intensity noise over 1 MHz band for single atom trapping. Optics Express, 28, 31209 (2020).
https://doi.org/10.1364/OE.405002
[47] Mejri, S., Mcferran, J. J., Yi, L., Le Coq, Y., & Bize, S. Ultraviolet laser spectroscopy of neutral mercury in a one-dimensional optical lattice. Phys.Rev. A 84, 032507 (2011).
https://doi.org/10.1103/PhysRevA.84.032507
[48] Jiang, X., Scott, J., Friesen, M., & Saffman, M. Sensitivity of quantum gate fidelity to laser phase and intensity noise. Phys. Rev. A, 107, 042611 (2023).
https://doi.org/10.1103/PhysRevA.107.042611
[49] Bridge, E. M., Keegan, N. C., Bounds, A. D., Boddy, D., Sadler, D. P., & Jones, M. P. Tunable cw UV laser with $<$35kHz absolute frequency instability for precision spectroscopy of Sr Rydberg states. Optics Express 24, 2281 (2016).
https://doi.org/10.1364/OE.24.002281
[50] https://www.toptica.com/fileadmin/Editors_English/11_brochures_datasheets/01_brochures/toptica-br-rydberg_lo.pdf.
https://www.toptica.com/fileadmin/Editors_English/11_brochures_datasheets/01_brochures/toptica-br-rydberg_lo.pdf
[51] M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori. An optical lattice clock. Nature 435, 321 (2005).
https://doi.org/10.1038/nature03541
[52] S. Bilicki. Strontium optical lattice clocks : clock comparisons for timescales and fundamental physics applications. Physics [physics]. Universite Pierre et Marie Curie - Paris VI, 2017.
https://theses.hal.science/tel-01691598/
[53] S. Nascimbene, N. Goldman, N. R. Cooper, and J. Dalibard, Dynamic optical lattices of sub-wavelength spacing for ultracold atoms, Phys. Rev. Lett. 115, 140401 (2015).
https://doi.org/10.1103/PhysRevLett.115.140401
[54] C. Gross and I. Bloch, Quantum simulations with ultracold atoms in optical lattices. Science 357, 995 (2017).
https://doi.org/10.1126/science.aal3837
[55] Lühmann D-S, Weitenberg C, and Sengstock K, Emulating molecular orbitals and electronic dynamics with ultracold atoms. Phys. Rev. X 5, 031016 (2015).
https://doi.org/10.1103/PhysRevX.5.031016
[56] Ospelkaus S, et al. Quantum-state controlled chemical reactions of ultracold potassium-rubidium molecules. Science 327, 853 (2010).
https://doi.org/10.1126/science.1184121
[57] Liu LR, Hood JD, Yu Y, Zhang JT, Hutzler NR, Rosenband T, and Ni KK, Building one molecule from a reservoir of two atoms. Science 360, 900 (2018).
[58] R. de L. Kronig and W. G. Penney, Quantum mechanics of electrons in crystal lattices. Proc. Roy. Soc. A 130, 499 (1931).
https://doi.org/10.1098/rspa.1931.0019
[59] A. L. Gaunt, T. F. Schmidutz, I. Gotlibovych, R. P. Smith, and Z. Hadzibabic, Bose-Einstein condensation of atoms in a uniform potential, Phys. Rev. Lett. 110, 200406 (2013).
https://doi.org/10.1103/PhysRevLett.110.200406
[60] BT. Seaman, M. Krämer, DZ. Anderson, MJ. Holland, Atomtronics: Ultracold-atom analogs of electronic devices. Phys. Rev. A 75, 023615 (2007).
https://doi.org/10.1103/PhysRevA.75.023615
[61] S. Eckel, J. G. Lee, F. Jendrzejewski, N. Murray, C. W. Clark, C. J. Lobb, W. D. Phillips, M. Edwards, and G. K. Campbell, Hysteresis in a quantized superfluid atomtronic circuit. Nature 506, 200 (2014).
https://doi.org/10.1038/nature12958
[62] Barredo, D., Lienhard, V., De Leseleuc, S., Lahaye, T. and Browaeys, A., Synthetic three-dimensional atomic structures assembled atom by atom. Nature 561, 79 (2018).
https://doi.org/10.1038/s41586-018-0450-2
[63] T. Niederprum, O. Thomas, T. Manthey, T. M. Weber, and H. Ott, Phys. Rev. Lett. 115, 013003 (2015).
https://doi.org/10.1103/PhysRevLett.115.013003
[64] J. B. Balewski, A. T. Krupp, A. Gaj, D. Peter, H. P. Büchler, R. Löw, S. Hofferberth, and T. Pfau, Coupling a single electron to a Bose–Einstein condensate. Nature (London) 502, 664 (2013).
https://doi.org/10.1038/nature12592
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