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Coherent excitation of three-atom entangled states near a two-body Förster resonance

Tomohisa Yoda, Emily Hirsch, Jason Montgomery, Dilara Sen, and Aaron Reinhard*

  • Department of Physics, Kenyon College, 201 North College Rd., Gambier, Ohio 43022, USA

  • *Corresponding author: reinhard1@kenyon.edu
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Phys. Rev. A 107, 062818 – Published 20 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062818

Abstract

We experimentally study three-body energy exchange during Rydberg excitation near a two-body Förster resonance. By varying the excitation pulse duration or Rabi frequency, we coherently control the excitation of three-atom entangled states. We prove coherence using an optical rotary echo technique and compare with a model for excitation in a three-atom basis. Our results suggest a robust way to implement a three-body entangling operation.

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References (58)

  1. I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys. 80, 885 (2008).
  2. M. Saffman, T. G. Walker, and K. Mølmer, Quantum information with Rydberg atoms, Rev. Mod. Phys. 82, 2313 (2010).
  3. T. Kraemer, M. Mark, P. Waldburger, J. G. Danzl, C. Chin, B. Engeser, A. D. Lange, K. Pilch, A. Jaakkola, H.-C. Nägerl, and R. Grimm, Evidence for Efimov quantum states in an ultracold gas of caesium atoms, Nature (London) 440, 315 (2006).
  4. T. Kinoshita, T. Wenger, and D. S. Weiss, Observation of a one-dimensional Tonks-Girardeau gas, Science 305, 1125 (2004).
  5. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature (London) 415, 39 (2002).
  6. Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, Berezinskii-Kosterlitz-Thouless crossover in a trapped atomic gas, Nature (London) 441, 1118 (2006).
  7. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hänsch, and I. Bloch, Coherent Transport of Neutral Atoms in Spin-Dependent Optical Lattice Potentials, Phys. Rev. Lett. 91, 010407 (2003).
  8. S. S. Kondov, W. R. McGehee, J. J. Zirbel, and B. DeMarco, Three-dimensional Anderson localization of ultracold matter, Science 334, 66 (2011).
  9. T. Kinoshita, T. Wenger, and D. S. Weiss, A quantum Newton's cradle, Nature (London) 440, 900 (2006).
  10. M. Gring, M. Kuhnert, T. Langeb, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D. Adu Smith, E. Demler, and J. Schmiedmayer, Relaxation and prethermalization in an isolated quantum system, Science 337, 1318 (2012).
  11. L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, Demonstration of a Neutral Atom Controlled-NOT Quantum Gate, Phys. Rev. Lett. 104, 010503 (2010).
  12. D. Bluvstein, H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner, V. Vuletić, and Mikhail D. Lukin, A quantum processor based on coherent transport of entangled atom arrays, Nature (London) 604, 451 (2022).
  13. S. Ma, A. P. Burgers, G. Liu, J. Wilson, B. Zhang, and Jeff D. Thompson, Universal Gate Operations on Nuclear Spin Qubits in an Optical Tweezer Array of Yb171 Atoms, Phys. Rev. X 12, 021028 (2022).
  14. S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, S. Choi, S. Sachdev, M. Greiner, V. Vuletić, and M. D. Lukin, Quantum phases of matter on a 256-atom programmable quantum simulator, Nature (London) 595, 227 (2021).
  15. P. Scholl, M. Schuler, H. J. Williams, A. A. Eberharter, D. Barredo, K.-N. Schymik, V. Lienhard, L.-P. Henry, Thomas C. Lang, T. Lahaye, Andreas M. Läuchli, and A. Browaeys, Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms, Nature (London) 595, 233 (2021).
  16. Y. O. Dudin and A. Kuzmich, Strongly interacting Rydberg excitations of a cold atomic gas, Science 336, 887 (2012).
  17. F. Ripka, H. Kübler, R. Löw, and T. Pfau, A room-temperature single-photon source based on strongly interacting Rydberg atoms, Science 362, 446 (2018).
  18. S. Baur, D. Tiarks, G. Rempe, and S. Dürr, Single-Photon Switch Based on Rydberg Blockade, Phys. Rev. Lett. 112, 073901 (2014).
  19. D. Tiarks, S. Baur, K. Schneider, S. Dürr, and G. Rempe, Single Photon Transistor Using a Förster Resonance, Phys. Rev. Lett. 113, 053602 (2014).
  20. V. Bendkowsky, B. Butscher, J. Nipper, J. P. Shaffer, R. Löw, and T. Pfau, Observation of ultralong-range Rydberg molecules, Nature (London) 458, 7241, 1005 (2009).
  21. D. Booth, S. T. Rittenhouse, J. Yang, H. R. Sadeghpour, and J. P. Shaffer, Production of trilobite Rydberg molecule dimers with kilo-Debye permanent electric dipole moments, Science 348, 99 (2015).
  22. 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).
  23. T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, Evidence of Antiblockade in an Ultracold Rydberg Gas, Phys. Rev. Lett. 104, 013001 (2010).
  24. J. D. Pritchard, D. Maxwell, A. Gauguet, K. J. Weatherill, M. P. A. Jones, and C. S. Adams, Cooperative Atom-Light Interaction in a Blockaded Rydberg Ensemble, Phys. Rev. Lett. 105, 193603 (2010).
  25. T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, Quantum nonlinear optics with single photons enabled by strongly interacting atoms, Nature (London) 488, 57 (2012).
  26. Q.-Y. Liang, A. V. Venkatramani, S. H. Cantu, T. L. Nicholson, M. J. Gullans, A. V. Gorshkov, J. D. Thompson, C. Chin, Mikhail D. Lukin, and V. Vuletić, Observation of three-photon bound states in a quantum nonlinear medium, Science 359, 783 (2018).
  27. T. Förster, Intermolecular energy migration and fluorescence, Ann. Phys. 437, 55 (1948).
  28. S. Jang, M. D. Newton, and R. J. Silbey, Multichromophoric Förster Resonance Energy Transfer, Phys. Rev. Lett. 92, 218301 (2004).
  29. M. Şener, J. Strümpfer, J. Hsin, D. Chandler, S. Scheuring, C. Neil Hunter, and K. Schulten, Förster energy transfer theory as reflected in the structures of photosynthetic light-harvesting systems, Chem. Phys. Chem. 12, 518 (2011).
  30. W. R. Anderson, J. R. Veale, and T. F. Gallagher, Resonant Dipole-Dipole Energy Transfer in a Nearly Frozen Rydberg Gas, Phys. Rev. Lett. 80, 249 (1998).
  31. I. Mourachko, D. Comparat, F. de Tomasi, A. Fioretti, P. Nosbaum, V. M. Akulin, and P. Pillet, Many-Body Effects in a Frozen Rydberg Gas, Phys. Rev. Lett. 80, 253 (1998).
  32. B. Sun and F. Robicheaux, Spectral linewidth broadening from pair fluctuations in a frozen Rydberg gas, Phys. Rev. A 78, 040701(R) (2008).
  33. B. G. Richards and R. R. Jones, Dipole-dipole resonance line shapes in a cold Rydberg gas, Phys. Rev. A 93, 042505 (2016).
  34. J. H. Gurian, P. Cheinet, P. Huillery, A. Fioretti, J. Zhao, P. L. Gould, D. Comparat, and P. Pillet, Observation of a Resonant Four-Body Interaction in Cold Cesium Rydberg Atoms, Phys. Rev. Lett. 108, 023005 (2012).
  35. R. Faoro, B. Pelle, A. Zuliani, P. Cheinet, E. Arimondo, and P. Pillet, Borromean three-body FRET in frozen Rydberg gases, Nat. Commun. 6, 8173 (2015).
  36. D. B. Tretyakov, I. I. Beterov, E. A. Yakshina, V. M. Entin, I. I. Ryabtsev, P. Cheinet, and P. Pillet, Observation of the Borromean three-body Förster Resonances for Three Interacting Rb Rydberg Atoms, Phys. Rev. Lett. 119, 173402 (2017).
  37. I. I. Beterov, I. N. Ashkarin, E. A. Yakshina, D. B. Tretyakov, V. M. Entin, I. I. Ryabtsev, P. Cheinet, P. Pillet, and M. Saffman, Fast three-qubit Toffoli quantum gate based on three-body Förster resonances in Rydberg atoms, Phys. Rev. A 98, 042704 (2018).
  38. I. I. Ryabtsev, I. I. Beterov, D. B. Tretyakov, E. A. Yakshina, V. M. Entin, P. Cheinet, and P. Pillet, Coherence of three-body Förster resonances in Rydberg atoms, Phys. Rev. A 98, 052703 (2018).
  39. Z. C. Liu, N. P. Inman, T. J. Carroll, and M. W. Noel, Time Dependence of Few-Body Förster Interactions among Ultracold Rydberg Atoms, Phys. Rev. Lett. 124, 133402 (2020).
  40. R. M. Nandkishore and S. L. Sondhi, Many-Body Localization with Long-Range Interactions, Phys. Rev. X 7, 041021 (2017).
  41. T. Pohl and P. R. Berman, Breaking the Dipole Blockade: Nearly Resonant Dipole Interactions in Few-Atom Systems, Phys. Rev. Lett. 102, 013004 (2009).
  42. A. Reinhard, T. Cubel Liebisch, K. C. Younge, P. R. Berman, and G. Raithel, Rydberg-Rydberg Collisions: Resonant Enhancement of State Mixing and Penning Ionization, Phys. Rev. Lett. 100, 123007 (2008).
  43. K. C. Younge, A. Reinhard, T. Pohl, P. R. Berman, and G. Raithel, Mesoscopic Rydberg ensembles: Beyond the pairwise-interaction approximation, Phys. Rev. A 79, 043420 (2009).
  44. J. M. Kondo, L. F. Gonçalves, Jader S. Cabral, J. Tallant, and L. G. Marcassa, Two-body Förster resonance involving Rb nD states in a quasi-electrostatic trap, Phys. Rev. A 90, 023413 (2014).
  45. M. Eder, A. Lesak, A. Plone, T. Yoda, M. Highman, and A. Reinhard, Quantifying the impact of state mixing on the Rydberg excitation blockade Phys. Rev. Res. 2, 023234 (2020).
  46. I. Solomon, Rotary Spin Echoes, Phys. Rev. Lett. 2, 301 (1959).
  47. U. Raitzsch, V. Bendkowsky, R. Heidemann, B. Butscher, R. Löw, and T. Pfau, Echo Experiments in a Strongly Interacting Rydberg Gas, Phys. Rev. Lett. 100, 013002 (2008).
  48. K. C. Younge and G. Raithel, Rotary echo tests of coherence in Rydberg-atom excitation, New J. Phys. 11, 043006 (2009).
  49. N. Thaicharoen, A. Schwarzkopf, and G. Raithel, Control of Spatial Correlations Between Rydberg Excitations Using Rotary Echo, Phys. Rev. Lett. 118, 133401 (2017).
  50. J. V. Hernández and F. Robicheaux, Simulations using echo sequences to observe coherence in a cold Rydberg gas, J. Phys. B: At. Mol. Opt. Phys. 41, 195301 (2008).
  51. A. Galindo and M. A. Martin-Delgado, Information and computation: Classical and quantum aspects, Rev. Mod. Phys. 74, 347 (2002).
  52. X.-F. Shi, Deutsch, Toffoli, and CNOT Gates Via Rydberg Blockade of Neutral Atoms, Phys. Rev. Appl. 9, 051001(R) (2018).
  53. X. Peng, J. Zhang, J. Du, and D. Suter, Quantum Simulation of a System with Competing Two- and Three-Body Interactions, Phys. Rev. Lett. 103, 140501 (2009).
  54. W. L. You, Y. C. Qiu, and A. M. Oles, Quantum phase transitions in a generalized compass chain with three-site interactions, Phys. Rev. B 93, 214417 (2016).
  55. Z. Luo, C. Lei, J. Li, X. Nie, Z. Li, X. Peng, and J. Du, Experimental observation of topological transitions in interacting multispin systems, Phys. Rev. A 93, 052116 (2016).
  56. K. Orr, I. George, and A. Reinhard, A pressure-tuned Fabry Pérot interferometer for laser frequency stabilization and tuning, Rev. Sci. Inst. 89, 093107 (2018).
  57. The mixing fraction is calculated as twice the integral of the p-peak in the SSFI spectrum, divided by the total integral.
  58. A. Derevianko, P. Kómár, T. Topcu, R. M. Kroeze, and M. D. Lukin, Effects of molecular resonances on Rydberg blockade, Phys. Rev. A 92, 063419 (2015).

Outline

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Phys. Rev. A 107, 062818– Published 20 June, 2023
  • Received 29 June 2022
  • Revised 12 February 2023
  • Accepted 1 June 2023
Article part of CHORUS
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