Skip to main content
Log in

Optimizing quantum gas production by an evolutionary algorithm

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We report on the application of an evolutionary algorithm (EA) to enhance performance of an ultra-cold quantum gas experiment. The production of a \(^{87}\)rubidium Bose–Einstein condensate (BEC) can be divided into fundamental cooling steps, specifically magneto-optical trapping of cold atoms, loading of atoms to a far-detuned crossed dipole trap, and finally the process of evaporative cooling. The EA is applied separately for each of these steps with a particular definition for the feedback, the so-called fitness. We discuss the principles of an EA and implement an enhancement called differential evolution. Analyzing the reasons for the EA to improve, e.g., the atomic loading rates and increase the BEC phase-space density, yields an optimal parameter set for the BEC production and enables us to reduce the BEC production time significantly. Furthermore, we focus on how additional information about the experiment and optimization possibilities can be extracted and how the correlations revealed allow for further improvement. Our results illustrate that EAs are powerful optimization tools for complex experiments and exemplify that the application yields useful information on the dependence of these experiments on the optimized parameters.

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

Access this article

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

Instant access to the full article PDF.

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

Similar content being viewed by others

References

  1. R. Desbuquois et al., Nat. Phys. 8, 645 (2012)

    Article  Google Scholar 

  2. M.W. Zwierlein, J.R. Abo-Shaeer, A. Schirotzek, C.H. Schunck, W. Ketterle, Nature 435, 1047 (2005)

    Article  ADS  Google Scholar 

  3. W. Ketterle, D.S. Durfee, D.M. Stamper-Kurn, in Proceedings of International School of Physics Enrico Fermi (1999), p. 67

  4. Z.W. Barber et al., Phys. Rev. Lett. 100, 103002 (2008)

    Article  ADS  Google Scholar 

  5. P. Rosenbusch et al., Phys. Rev. A 79, 13404 (2009)

    Article  ADS  Google Scholar 

  6. D.L. Stern, Nat. Rev. Genet. 14, 751 (2013)

    Article  Google Scholar 

  7. T. Baumert, T. Brixner, V. Seyfried, M. Strehle, G. Gerber, Appl. Phys. B Lasers Opt. 65, 779 (1997)

    Article  ADS  Google Scholar 

  8. B.J. Pearson, J.L. White, T.C. Weinacht, P.H. Bucksbaum, Phys. Rev. A 63, 063412 (2001)

    Article  ADS  Google Scholar 

  9. M. Tsubouchi, T. Momose, Phys. Rev. A 77, 052326 (2008)

    Article  ADS  Google Scholar 

  10. J. Roslund, H. Rabitz, Phys. Rev. A 79, 53417 (2009)

    Article  ADS  Google Scholar 

  11. D. Picard, A. Revel, M. Cord, in 2008 International Workshop on Content-Based Multimedia Indexing, CBMI 2008, Conference Proceedings, vol. 10 (2008), p. 439

  12. J. Kennedy, R. Eberhart, Proceedings of IEEE International Conference on Neural Networks, 1995, vol. 4 (1995), p. 1942

  13. L.J. Fogel, Intelligence Through Simulated Evolution, 1st edn. (Wiley-Interscience, London, 1966)

    MATH  Google Scholar 

  14. G.S. Hornby, J.D. Lohn, D.S. Linden, Evol. Comput. 19, 1 (2011)

    Article  Google Scholar 

  15. K. Price, R. Storn, J.A. Lampinen, Differential Evolution, Natural Computing Series, 1st edn. (Springer, Berlin, 2005)

    MATH  Google Scholar 

  16. W. Rohringer et al., Appl. Phys. Lett. 93, 264101 (2008)

    Article  ADS  Google Scholar 

  17. W. Rohringer, D. Fischer, M. Trupke, T. Schumm, J. Schmiedmayer, in Stochastic Optimization-Seeing the Optimal for the Uncertain, ed. by I. Dritsas (InTech, Rijeka, 2011), pp. 3–28. doi:10.5772/15480

  18. I. Geisel et al., Appl. Phys. 102, 214105 (2013)

    ADS  Google Scholar 

  19. P.B. Wigley, et al., arXiv:1507.04964, 1 (2015)

  20. J. Zhang, A.C. Sanderson, Adaptive Differential Evolution, vol. 1 of Evolutionary Learning and Optimization (Springer, Berlin, 2009)

  21. S. Das, A. Konar, U. Chakraborty, 2005 IEEE Congress in Evolutionary Computation, vol. 2 (IEEE, 2005), pp. 1691–1698

  22. A.M. Steane, C.J. Foot, Europhys. Lett. 14, 231 (1991)

    Article  ADS  Google Scholar 

  23. H.J. Metcalf, P. van der Straten, Laser Cooling and Trapping, 16th edn. (Springer, New York, 1999)

    Book  Google Scholar 

  24. R. Grimm, M. Weidemüller, Y.B. Ovchinnikov, Adv. At. Mol. Opt. Phys. 42, 95 (2000)

    Article  ADS  Google Scholar 

  25. M. Hohmann et al., EPJ Quantum Technol. 2, 23 (2015)

    Article  Google Scholar 

  26. A. Handl, Multivariate Analysemethoden, 2nd edn. (Springer, Berlin, 2010)

    Book  MATH  Google Scholar 

  27. W. Ketterle, K. Davis, M. Joffe, A. Martin, D. Pritchard, Phys. Rev. Lett. 70, 2253 (1993)

    Article  ADS  Google Scholar 

  28. H.J. Lewandowski, D.M. Harber, D.L. Whitaker, E.A. Cornell, J. Low Temp. Phys. 132, 309 (2003)

    Article  ADS  Google Scholar 

  29. J.F. Clément et al., Phys. Rev. A 79, 061406(R) (2009)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

The project was financially supported partially by the European Union via the ERC Starting Grant 278208 and partially by the DFG via SFB/TR49. D. M. is a recipient of a DFG fellowship through the Excellence Initiative by the Graduate School Materials Science in Mainz (GSC 266), F. S. acknowledges funding by Studienstiftung des deutschen Volkes, and T. L. acknowledges funding from Carl-Zeiss Stiftung.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Lausch.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lausch, T., Hohmann, M., Kindermann, F. et al. Optimizing quantum gas production by an evolutionary algorithm. Appl. Phys. B 122, 112 (2016). https://doi.org/10.1007/s00340-016-6391-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00340-016-6391-2

Keywords

Navigation