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Coherent Excitation of Rydberg States

  • Gerard HigginsEmail author
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

In neutral Rydberg atom systems a host of quantum mechanical phenomena have been investigated, several of which are reviewed in Sect.  1.2. Quantum mechanical phenomena are observed most easily in isolated systems with strong coupling between only a few levels. With our understanding of Rydberg ion trap effects (see Chap.  6) we isolate a single Rydberg level and couple it with two other atomic levels using light fields; we then investigate the quantum-mechanical phenomena which appear. While coupling between two levels gives rise to Rabi oscillations, coupling between the levels of a three-level system results in a range of phenomena [1], including the Autler–Townes effect (reported in Sect. 7.2), electromagnetically-induced transparency (EIT), two-photon Rabi oscillations (Sect. 7.3), as well as stimulated Raman adiabatic passage (STIRAP) (Sect. 7.4). Using STIRAP for coherent Rydberg excitation and deexcitation we measure the Rydberg state lifetime (Sect. 7.4.2) and carry out a single-qubit Rydberg phase gate (Sect. 7.4.3). This gate demonstrates the basic workings of a Rydberg ion quantum computer. Many of the results in this chapter are published in Physical Review Letters [2] or else are under review—a working manuscript is available at [3]. Before describing the results, the three-level system is introduced in Sect. 7.1.

References

  1. 1.
    Fleischhauer M, Imamoglu A, Marangos JP (2005) Electromagnetically induced transparency: optics in coherent media. Rev Mod Phys 77:633–673ADSCrossRefGoogle Scholar
  2. 2.
    Higgins G, Pokorny F, Zhang C, Bodart Q, Hennrich M (2017) Coherent control of a single trapped Rydberg ion. Phys Rev Lett 119:220501Google Scholar
  3. 3.
    Higgins G, Pokorny F, Zhang C, Hennrich M (2019) Highly-polarizable ion in a Paul trap. arXiv:1904.08099
  4. 4.
    Sillanpää MA et al (2009) Autler-Townes effect in a superconducting three-level system. Phys Rev Lett 103:193601Google Scholar
  5. 5.
    Foot C (2005) Atomic physics. Oxford University Press, OxfordGoogle Scholar
  6. 6.
    Johansson J, Nation P, Nori F (2013) QuTiP 2: a Python framework for the dynamics of open quantum systems. Comput Phys Commun 184:1234–1240ADSCrossRefGoogle Scholar
  7. 7.
    Browaeys A, Barredo D, Lahaye T (2016) Experimental investigations of dipole–dipole interactions between a few Rydberg atoms. J Phys B 49:152001Google Scholar
  8. 8.
    Vitanov NV, Rangelov AA, Shore BW, Bergmann K (2017) Stimulated Raman adiabatic passage in physics, chemistry, and beyond. Rev Mod Phys 89:015006Google Scholar
  9. 9.
    Bergmann K, Vitanov NV, Shore BW (2015) Perspective: stimulated Raman adiabatic passage: the status after 25 years. J Chem Phys 142:170901Google Scholar
  10. 10.
    Cubel T et al (2005) Coherent population transfer of ground-state atoms into Rydberg states. Phys Rev A 72:023405Google Scholar
  11. 11.
    Deiglmayr J et al (2006) Coherent excitation of Rydberg atoms in an ultracold gas. Opt Commun 264:293–298ADSCrossRefGoogle Scholar
  12. 12.
    Sparkes BM et al (2016) Stimulated Raman adiabatic passage for improved performance of a cold-atom electron and ion source. Phys Rev A 94:023404Google Scholar
  13. 13.
    Saffman M, Walker TG, Mølmer K (2010) Quantum information with Rydberg atoms. Rev Mod Phys 82:2313–2363ADSCrossRefGoogle Scholar
  14. 14.
    Berry MV (1984) Quantal phase factors accompanying adiabatic changes. Proc R Soc A 392:45–57ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Yale CG et al (2016) Optical manipulation of the Berry phase in a solid-state spin qubit. Nat Photonics 10:184–189ADSCrossRefGoogle Scholar
  16. 16.
    Zanardi P, Rasetti M (1999) Holonomic quantum computation. Phys Lett A 264:94–99ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    Duan L-M, Cirac JI, Zoller P (2001) Geometric manipulation of trapped ions for quantum computation. Science 292:1695–1697ADSCrossRefGoogle Scholar
  18. 18.
    Chuang IL, Nielsen MA (1997) Prescription for experimental determination of the dynamics of a quantum black box. J Mod Opt 44:2455–2467ADSCrossRefGoogle Scholar
  19. 19.
    James DFV, Kwiat PG, Munro WJ, White AG (2001) Measurement of qubits. Phys Rev A 64:052312ADSCrossRefGoogle Scholar
  20. 20.
    Møller D, Madsen LB, Mølmer K (2007) Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems. Phys Rev A 75:062302Google Scholar
  21. 21.
    Rao DDB, Mølmer K (2014) Robust Rydberg-interaction gates with adiabatic passage. Phys Rev A 89:030301Google Scholar
  22. 22.
    Müller M, Liang L, Lesanovsky I, Zoller P (2008) Trapped Rydberg ions: from spin chains to fast quantum gates. New J Phys 10:093009Google Scholar
  23. 23.
    Li W, Lesanovsky I (2014) Entangling quantum gate in trapped ions via Rydberg blockade. Appl Phys B 114:37–44ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Physics, AlbaNova University CenterStockholm UniversityStockholmSweden

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