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Fast coherent splitting of Bose-Einstein condensates

Yevhenii Kuriatnikov1, Nikolaus Würkner2, Karthikeyan Kumaran1, Tiantian Zhang1, M. Venkat Ramana1, Andreas Kugi2,3, Jörg Schmiedmayer1, Andreas Deutschmann-Olek2,*, and Maximilian Prüfer1,†

  • 1Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, 1020 Vienna, Austria
  • 2Automation and Control Institute, TU Wien, Gußhausstraße 27-29, 1040 Vienna, Austria
  • 3AIT Austrian Institute of Technology, Giefinggasse 4, 1210 Vienna, Austria

  • *Contact author: Deutschmann@acin.tuwien.ac.at
  • †Contact author: maximilian.pruefer@tuwien.ac.at

Phys. Rev. Research 7, 043108 – Published 27 October, 2025

DOI: https://doi.org/10.1103/pjqv-r3p6

Abstract

Preparation of nontrivial quantum states without introducing unwanted excitations or decoherence remains a central challenge in utilizing ultracold atomic systems for quantum simulation. We employ optimal control methods to realize fast, coherent splitting of a one-dimensional Bose-Einstein condensate, achieving negligible classical excitations while preserving quantum correlations. Furthermore, we explore two-step protocols in which controlled classical motion is first induced and subsequently suppressed via tailored control sequences. Our experiments highlight the potential of optimal control for quantum state engineering and dynamical control in many-body quantum systems.

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References (31)

  1. I. Bloch, J. Dalibard, and S. Nascimbène, Quantum simulations with ultracold quantum gases, Nat. Phys. 8, 267 (2012).
  2. E. Altman et al., Quantum simulators: Architectures and opportunities, PRX Quantum 2, 017003 (2021).
  3. C. P. Koch, U. Boscain, T. Calarco, G. Dirr, S. Filipp, S. J. Glaser, R. Kosloff, S. Montangero, T. Schulte-Herbrüggen, D. Sugny, and F. K. Wilhelm, Quantum optimal control in quantum technologies: Strategic report on current status, visions and goals for research in Europe, EPJ Quantum Technol. 9, 19 (2022).
  4. D. Guéry-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, S. Martínez-Garaot, and J. G. Muga, Shortcuts to adiabaticity: Concepts, methods, and applications, Rev. Mod. Phys. 91, 045001 (2019).
  5. A. Omran, H. Levine, A. Keesling, G. Semeghini, T. T. Wang, S. Ebadi, H. Bernien, A. S. Zibrov, H. Pichler, S. Choi et al., Generation and manipulation of Schrödinger cat states in Rydberg atom arrays, Science 365, 570 (2019).
  6. M. R. Lam, N. Peter, T. Groh, W. Alt, C. Robens, D. Meschede, A. Negretti, S. Montangero, T. Calarco, and A. Alberti, Demonstration of quantum brachistochrones between distant states of an atom, Phys. Rev. X 11, 011035 (2021).
  7. U. Hohenester, P. K. Rekdal, A. Borzì, and J. Schmiedmayer, Optimal quantum control of Bose-Einstein condensates in magnetic microtraps, Phys. Rev. A 75, 023602 (2007).
  8. T. Schumm, S. Hofferberth, L. M. Andersson, S. Wildermuth, S. Groth, I. Bar-Joseph, J. Schmiedmayer, and P. Kr üger, Matter-wave interferometry in a double well on an atom chip, Nat. Phys. 1, 57 (2005).
  9. A. J. Barker, S. Sunami, D. Garrick, A. Beregi, K. Luksch, E. Bentine, and C. J. Foot, Coherent splitting of two-dimensional Bose gases in magnetic potentials, New J. Phys. 22, 103040 (2020).
  10. J. Estève, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Squeezing and entanglement in a Bose-Einstein condensate, Nature (London) 455, 1216 (2008).
  11. 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).
  12. S. van Frank, A. Negretti, T. Berrada, R. Bücker, S. Montangero, J.-F. Schaff, T. Schumm, T. Calarco, and J. Schmiedmayer, Interferometry with non-classical motional states of a Bose-Einstein condensate, Nat. Commun. 5, 4009 (2014).
  13. P. Treutlein, T. W. Hänsch, J. Reichel, A. Negretti, M. A. Cirone, and T. Calarco, Microwave potentials and optimal control for robust quantum gates on an atom chip, Phys. Rev. A 74, 022312 (2006).
  14. R. Folman, P. Krüger, D. Cassettari, B. Hessmo, T. Maier, and J. Schmiedmayer, Controlling cold atoms using nanofabricated surfaces: Atom chips, Phys. Rev. Lett. 84, 4749 (2000).
  15. J. Reichel and V. Vuletic, Atom Chips (John Wiley & Sons, Weinheim, Germany, 2011).
  16. S. Hofferberth, I. Lesanovsky, B. Fischer, J. Verdu, and J. Schmiedmayer, Radiofrequency-dressed-state potentials for neutral atoms, Nat. Phys. 2, 665 (2006).
  17. I. Lesanovsky, T. Schumm, S. Hofferberth, L. M. Andersson, P. Krüger, and J. Schmiedmayer, Adiabatic radio-frequency potentials for the coherent manipulation of matter waves, Phys. Rev. A 73, 033619 (2006).
  18. I. Lesanovsky, S. Hofferberth, J. Schmiedmayer, and P. Schmelcher, Manipulation of ultracold atoms in dressed adiabatic radio-frequency potentials, Phys. Rev. A 74, 033619 (2006).
  19. R Bücker, A. Perrin, S. Manz, T. Betz, C. Koller, T. Plisson, J. Rottmann, T. Schumm, and J. Schmiedmayer, Single-particle-sensitive imaging of freely propagating ultracold atoms, New J. Phys. 11, 103039 (2009).
  20. T. Berrada, S. van Frank, R. Bücker, T. Schumm, J.-F. Schaff, and J. Schmiedmayer, Integrated Mach–Zehnder interferometer for Bose-Einstein condensates, Nat. Commun. 4, 2077 (2013).
  21. T. Zhang, M. Maiwöger, F. Borselli, Y. Kuriatnikov, J. Schmiedmayer, and M. Prüfer, Squeezing oscillations in a multimode bosonic Josephson junction, Phys. Rev. X 14, 011049 (2024).
  22. N. Würkner, Y. Kuriatnikov, K. Kumaran, M. V. Ramana, J. Schmiedmayer, A. Kugi, M. Prüfer, and A. Deutschmann-Olek, Identification and optimal control strategies for the transversal splitting of ultra–cold Bose gases, arXiv:2510.07113.
  23. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463 (1999).
  24. I. Lovas, R. Citro, E. Demler, T. Giamarchi, M. Knap, and E. Orignac, Many-body parametric resonances in the driven sine-Gordon model, Phys. Rev. B 106, 075426 (2022).
  25. S.-C. Ji, T. Schweigler, M. Tajik, F. Cataldini, J. A. Sabino, F. S. Møller, S. Erne, and J. Schmiedmayer, Floquet engineering a bosonic Josephson junction, Phys. Rev. Lett. 129, 080402 (2022).
  26. L. Xin, M. Chapman, and T. Kennedy, Fast generation of time-stationary spin-1 squeezed states by nonadiabatic control, PRX Quantum 3, 010328 (2022).
  27. L. Xin, M. Barrios, J. T. Cohen, and M. S. Chapman, Long-lived squeezed ground states in a quantum spin ensemble, Phys. Rev. Lett. 131, 133402 (2023).
  28. A. Sørensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Many-particle entanglement with Bose-Einstein condensates, Nature (London) 409, 63 (2001).
  29. S. Sunami, V. P. Singh, D. Garrick, A. Beregi, A. J. Barker, K. Luksch, E. Bentine, L. Mathey, and C. J. Foot, Universal scaling of the dynamic BKT transition in quenched 2D Bose gases, Science 382, 443 (2023).
  30. J. Shao and D. Tu, The Jackknife and Bootstrap, Springer Series in Statistics 1st ed. (Springer, New York, 1995), pp. XVII, 517.
  31. J.-F. Mennemann, D. Matthes, R.-M. Weishäupl, and T. Langen, Optimal control of Bose-Einstein condensates in three dimensions, New J. Phys. 17, 113027 (2015).

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