Skip to main content
SpringerLink
Log in

Collective Excitations of Bose–Einstein Condensate in a Rydberg Atom

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

In this work, we investigated a Bose–Einstein condensate (BEC) inside a Rydberg atom. We first observed the system’s density profile using the Gross–Pitaevskii equation, and then we used the Bogoliubov theory to examine the collective excitation spectra. We have also extended our study by taking into account a hybrid of two BEC species. Again, for this new system, the density profile and the collective excitation are investigated in a similar manner. The results of the BEC for one species reveal that the Rydberg atom can trap the BEC and that the excitation curve moves upward with increasing Rydberg atom interaction. We have seen roton minima for two species of BEC, and the depth of the minima shifts with the Rydberg interaction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. R. Schmidt, H.R. Sadeghpour, E. Demler, Phys. Rev. Lett. 116, 105302 (2016)

    Article  ADS  Google Scholar 

  2. F. Camargo, R. Schmidt, J.D. Whalen, R. Ding, G. Woehl Jr., S. Yoshida, J. Burgdorfer, F.B. Dunning, H.R. Sadeghpour, E. Demler, T.C. Killian, Phys. Rev. Lett. 120, 083401 (2018)

    Article  ADS  Google Scholar 

  3. C.H. Greene, A.S. Dickinson, H.R. Sadeghpour, Phys. Rev. Lett. 85, 2458 (2000)

    Article  ADS  Google Scholar 

  4. M. Brune, P. Nussenzveig, F. Schmidt-Kaler, F. Bernardot, A. Maali, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 72, 3339 (1994)

    Article  ADS  Google Scholar 

  5. M. Saffman, J. Phys. B: At. Mol. Opt. Phys. 49, 202001 (2016)

    Article  ADS  Google Scholar 

  6. M. Morgado, S. Whitlock, AVS Quant. Sci. 3, 023501 (2021)

    Article  ADS  Google Scholar 

  7. M. Saffman, T.G. Walker, K. Molmer, Rev. Mod. Phys. 82, 2313 (2010)

    Article  ADS  Google Scholar 

  8. F.B. Dunning, J.J. Mestayer, C.O. Reinhold, S. Yoshida, J. Burgdorfer, J. Phys. B: At. Mol. Opt. Phys. 42, 02 (2001)

    Google Scholar 

  9. S. Schmid, A. Harter, J.H. Denschlag, Rev. Lett. 105, 133202 (2010)

    Article  ADS  Google Scholar 

  10. J.B. Balewski, A.T. Krupp, A. Gaj, D. Peter, H.P. Buchler, R. Low, S. Hofferberth, T. Pfau, Nature (London) 502, 664 (2013)

    Article  ADS  Google Scholar 

  11. A.T. Grier, M. Cetina, F. Orucevic, V. Vuletic, Phys. Rev. Lett. 102, 223201 (2009)

    Article  ADS  Google Scholar 

  12. L. Ratschbacher, C. Zipkes, C. Sias, M. Kohl, Nat. Phys. 8, 649 (2012)

    Article  Google Scholar 

  13. A. Krokow, A. Mohammadi, A. Harter, J. Hecker Denschlag, J. P erez-Rios, C.H. Greene, Phys. Rev. Lett. 116, 193201 (2016)

    Article  ADS  Google Scholar 

  14. F.H.J. Hall, S. Willitsch, Phys. Rev. Lett. 109, 233202 (2012)

    Article  ADS  Google Scholar 

  15. C. Zipkes, S. Palzer, C. Sias, M. Kohl, Nature (London) 464, 388 (2010)

    Article  ADS  Google Scholar 

  16. R. Mukherjee, C. Ates, W. Li, S. Wuster, Phys. Rev. Lett. 115, 040401 (2015)

    Article  ADS  Google Scholar 

  17. H.T. Ng, S. Bose, Phys. Rev. A 78, 023610 (2008)

    Article  ADS  Google Scholar 

  18. Y.J. Song, L.M. Kuang, Ann. Phys. (Berlin, Ger.) 531, 1800423 (2019)

    Article  ADS  Google Scholar 

  19. M.S. Smith, Phys. Rev. Lett. 117, 100001 (2016)

    Article  ADS  Google Scholar 

  20. J. Wang, M. Gacesa, R. Cote, Phys. Rev. Lett. 114, 243003 (2015)

    Article  ADS  Google Scholar 

  21. S. Tiwari, S. Wuster, Phys. Rev. A 99, 043616 (2019)

    Article  ADS  Google Scholar 

  22. S. Rammohan, A.K. Chauhan, R. Nath, A. Eisfeld, S. Wuster, Phys. Rev. A 103, 063307 (2021)

    Article  ADS  Google Scholar 

  23. D.S. Petrov, Phys. Rev. Lett. 115, 155302 (2015)

    Article  ADS  Google Scholar 

  24. C.R. Cabrera, L. Tanzi, J. Sanz, B. Naylor, P. Thomas, P. Cheiney, L. Tarruell, Science 359, 301 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  25. G. Semeghini, G. Ferioli, L. Masi, C. Mazzinghi, L. Wolswijk, F. Minardi, M. Modugno, G. Modugno, M. Inguscio, M. Fattori, Phys. Rev. Lett. 120, 235301 (2018)

    Article  ADS  Google Scholar 

  26. P. Cheiney, C.R. Cabrera, J. Sanz, B. Naylor, L. Tanzi, L. Tarruell, Phys. Rev. Lett. 120, 135301 (2018)

    Article  ADS  Google Scholar 

  27. H. Kadau, M. Schmitt, M. Wenzel, C. Wink, T. Maier, I.F. Barbut, T. Pfau, Observation of dipolar droplets in 2016. Nat. Phys. 530, 194 (2016)

    Article  Google Scholar 

  28. I.F. Barbut, H. Kadau, M. Schmitt, M. Wenzel, T. Pfau, Phys. Rev. Lett. 116, 215301 (2016)

    Article  ADS  Google Scholar 

  29. I.F. Barbut, M. Schmitt, M. Wenzel, H. Kadau, T. Pfau, J. Phys. B 49, 214004 (2016)

    Article  ADS  Google Scholar 

  30. M. Schmitt, M. Wenzel, B. Bottcher, I.F. Barbut, T. Pfau, Nat. Phys. 539, 259 (2016)

    Article  Google Scholar 

  31. L. Chomaz, S. Baier, D. Petter, M.J. Mark, F. Wachtler, L. Santos, F. Ferlaino, Phys. Rev. X 6, 041039 (2016)

    Google Scholar 

  32. T.D. Lee, C.N. Yang, Phys. Rev. 105, 1119 (1957)

    Article  ADS  Google Scholar 

  33. T.D. Lee, Kerson Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  34. G. Modugno, M. Modugno, F. Riboli, G. Roati, M. Inguscio, Phys. Rev. Lett. 89, 190404 (2002)

    Article  ADS  Google Scholar 

  35. G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, M. Inguscio, Phys. Rev. Lett. 100, 210402 (2008)

    Article  ADS  Google Scholar 

  36. A. Burchianti, C.D. Errico, M. Prevedelli, F. Ancilotto, M. Modugno, L. Salasnich, F. Minardi, C. Fort, Condens. Matter 5, 21 (2020)

    Article  Google Scholar 

  37. J. Stenger, S. Inouye, D.M. Stamper-Kurn, H.J. Miesner, A.P. Chikkatur, W. Ketterle, Nat. Phys. 396, 345 (1998)

    Article  Google Scholar 

  38. M.S. Chang, C.D. Hamley, M.D. Barrett, J.A. Sauer, K.M. Fortier, W. Zhang, L. You, M.S. Chapman, Phys. Rev. Lett. 92, 140403 (2004)

    Article  ADS  Google Scholar 

  39. S.B. Papp, J.M. Pino, C.E. Wieman, Phys. Rev. Lett. 101, 040402 (2008)

    Article  ADS  Google Scholar 

  40. M. Tomza, K. Jachymski, R. Gerritsma, A. Negretti, T. Calarco, Z. Idziaszek, P.S. Julienne, Rev. Mod. Phys. 91, 035001 (2019)

    Article  ADS  Google Scholar 

  41. D.S. Petrov, Phys. Rev. Lett. 115, 155302 (2015)

    Article  ADS  Google Scholar 

  42. S. Sahu, D. Majumder, J. Phys. B: At. Mol. Opt. Phys. 53, 095301 (2020)

    Article  ADS  Google Scholar 

  43. A. Boudjemaa, Phys. Lett. A 465, 128712 (2023)

    Article  MathSciNet  Google Scholar 

  44. P. Muruganandam, S.K. Adhikari, Comp. Phys. Commun. 180, 1888 (2009)

    Article  ADS  Google Scholar 

  45. Y.V. Kartashov, B.A. Malomed, L. Tarruell, L. Torner, Phys. Rev. A 98, 013612 (2018)

    Article  ADS  Google Scholar 

  46. R. Mukherjee, C. Ates, W. Li, S. Wuster, Phys. Rev. Lett. 115, 040401 (2015)

    Article  ADS  Google Scholar 

  47. T. Karpiuk, M. Brewczyk, K. Rzazewski, A. Gaj, J.B. Balewski, A.T. Krupp, M. Schlagmuller, R. Low, S. Hofferberth, T. Pfau, New J. Phys. 17, 053046 (2015)

    Article  ADS  Google Scholar 

  48. Matrix diagonalization subroutine is available here (Linear Algebra PACKage) https://www.netlib.org/

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Indian Institute of Engineering Science and Technology, Shibpur, WB, India

    Avra Banerjee & Dwipesh Majumder

Authors
  1. Avra Banerjee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dwipesh Majumder
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Avra Banerjee.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Banerjee, A., Majumder, D. Collective Excitations of Bose–Einstein Condensate in a Rydberg Atom. J Low Temp Phys 215, 64–74 (2024). https://doi.org/10.1007/s10909-024-03063-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-024-03063-8

Keywords

Search

Navigation