Preview

Bulletin of State University of Education. Series: Physics and Mathematics

Advanced search

FEATURES OF DYNAMICS OF STIMULATED ATOMIC-MOLECULAR CONVERSION INVOLVING TWO PULSES OF RESONANT LASER RADIATION AND A PULSE OF MICROWAVE RADIATION IN A SYSTEM OF ATOMS OF ONE SPECIES

https://doi.org/10.18384/2310-7251-2020-1-57-76

Abstract

Purpose. We study of the dynamics of atomic-molecular conversion in a Bose-Einstein condensate. Methodology and Approach. The paper explores the behavior of the potential energy of some nonlinear oscillator as a function of the magnitude of the photon density of the second pulse. Results. An equation is found for the density of photons of the second pulse in the system of Bose-condensed atoms and molecules. Theoretical and Practical Implications. We have obtained the solutions and found critical values of parameters at which evolution modes change.

About the Authors

A. P. Zingan
Pridnestrovian State University
Russian Federation


O. F. Vasilieva
Pridnestrovian State University
Russian Federation


References

1. Хаджи П. И., Зинган А. П. Особенности динамики стимулированной рамановской атомно-молекулярной конверсии в смеси двух бозе-газов с образованием бозе-конденсированных гетероядерных молекул // Журнал экспериментальной и теоретической физики. 2011. Т. 139. № 4. С. 645-665.

2. Feshbach resonances in potassium Bose-Bose mixtures / Tanzi L., Cabrera C. R., Sanz J., Cheiney P., Tomza M., Tarruell L. // Physical Review A. 2018. Vol. 98. Iss. 6. P. 062712.

3. Trousselet F., Rueda-Fonseca P., Ralko A. Competing supersolids of Bose-Bose mixtures in a triangular lattice // Physical Review B. 2014. Vol. 89. Iss. 8. P. 085104.

4. Observation of Feshbach-Like Resonances in Collisions between Ultracold Molecules / Chin C., Kraemer T., Mark M., Herbig J., Waldburger P., Nдgerl H.-C., Grimm R. // Physical Review Letters. 2005. Vol. 94. Iss. 12. P. 123201.

5. Creation of ultracold molecules from a Fermi gas of atoms / Regal C. A., Ticknor G., Bohn J. L., Jin D. S. // Nature. 2003. No. 424. Р. 47-50.

6. Strecker K. E., Partridge G. B., Hulet R. G. Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas // Physical Review Letters. 2003. Vol. 91. Iss. 8. Р. 080406.

7. Preparation of a Pure Molecular Quantum Gas / Herbig J., Kraemer T., Mark M., Weber T., Chin C., Nдgerl H.-C., Grimm R. // Science. 2003. Vol. 301. Iss. 5639. Р. 1510-1513.

8. Formation of Quantum-Degenerate Sodium Molecules / Xu K., Mukaiyama T., Abo-Shaeer J. R., Chin J. K., Miller D. E. // Physical Review Letters. 2003. Vol. 91. Iss. 21. Р. 210401.

9. Coherent Optical Transfer of Feshbach Molecules to a Lower Vibrational State / Winkler K., Lang F., Thalhammer G., Straten P., Grimm R., Denschlag J. H. // Physical Review Letters. 2007. Vol. 98. Iss. 4. Р. 043201.

10. Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths / Kitagawa M., Enomoto K., Kasa K., Takahashi Y., Ciurylo R., Naidon P., Julienne P.S. // Physical Review A. 2008. Vol. 77. Iss. 1. Р. 012719.

11. Stark deceleration of lithium hydride molecules / Tokunaga S. K., Dyne J. M., Hinds E. A., Tarbutt M. R. // New Journal of Physics. 2009. Vol. 11. No. 5. Р. 055038.

12. Erratum: Ultracold Heteronuclear Fermi-Fermi Molecules / Voigt A.-C., Taglieber M., Costa L., Aoki T., Wieser W., Hдnsch T.W., Dieckmann K. // Physical Review Letters. 2010. Vol. 105. Iss. 26. Р. 269904.

13. Observation of Feshbach Resonances between Two Different Atomic Species / Stan C. A., Zwierlein M. W., Schunck C. H., Raupach S. M. F., Ketterle W. // Physical Review Letters. 2004. Vol. 93. Iss. 14. Р. 143001.

14. Soderberg K.-A. B., Gemelke N., Chin C. Ultracold molecules: vehicles to scalable quantum information processing // New Journal of Physics. 2009. Vol. 11. No. 5. Р. 055022.

15. Spectroscopy of 39K85Rb triplet excited states using ultracold a 3Σ+ state molecules formed by photoassociation / Kim J. T., Wang D., Eyler E. E., Gould P. L., Stwalley W. C. // New Journal of Physics. 2009. Vol. 11. No. 5. Р. 055020.

16. Quantum Degenerate Two-Species Fermi-Fermi Mixture Coexisting with a Bose-Einstein Condensate / Taglieber M., Voight A.-C., Aoki T., Hдnsch T. W., Dieckmann K. // Physical Review Letters. 2008. Vol. 100. Iss. 1. Р. 010401.

17. Observation of Feshbach-like resonances in collisions between ultracold molecules / Chin C., Kraemer T., Mark M., Herbig J., Waldburger P., Nдgerl H.-C., Grimm R. // Physical Review Letters. 2005. Vol. 94. Iss. 12. Р. 123201.

18. Chiquillo E. Equation of state of the one- and three-dimensional Bose-Bose gases // Physical Review A. 2018. Vol. 97. Iss. 7. P. 063605.

19. Laser-assisted self-induced Feshbach resonance for controlling heteronuclear quantum gas mixtures / Devolder A., Luc-Koenig E., Atabek O., Desouter-Lecomte M., Dulieu O. // Physical Review A. 2019. Vol. 100. Iss. 5. P. 052703.

20. Bose-Einstein Condensation of Erbium / Aikawa K., Frisch A., Mark M., Baier S., Rietzler A., Grimm R., Ferlaino F. // Physical Review Letters. 2012. Vol. 108. Iss. 21. Р. 210401.

21. Magnetically Controlled Exchange Process in an Ultracold Atom-Dimer Mixture / Knoop S., Ferlaino F., Berninger M., Mark M., Nдgerl H., Grimm R., D’Incao J. P., Esry B. D. // Physical Review Letters. 2010. Vol. 104. Iss. 5. Р. 053201.

22. Producing superfluid circulation states using phase imprinting / Kumar A., Dubessy R., Badr T., De Rossi C., Goлr de Herve M., Longchambon L., Perrin H. // Physical Review A. 2018. Vol. 97. Iss. 4. P. 043615.

23. Tomza M. Energetics and Control of Ultracold Isotope-Exchange Reactions between Heteronuclear Dimers in External Fields // Physical Review Letters. 2015. Vol. 115. Iss. 6. P. 063201.

24. Quantum Dynamics with Spatiotemporal Control of Interactions in a Stable Bose-Einstein Condensate / Logan W., Li-Chung Ha, Chen-Yu Xu, Chin C. // Physical Review Letters. 2015. Vol. 115. Iss. 15. P. 155301.

25. Chin C., Grimm R. Thermal equilibrium and efficient evaporation of an ultracold atom-molecule mixture // Physical Review A. 2004. Vol. 69. Iss. 3. P. 033612.

26. Зинган А. П., Васильева О. Ф., Хаджи П. И. Динамика бозе-конденсированных ультрахолодных атомов и тримерных молекул с образованием атомно-молекулярных пар // Журнал экспериментальной и теоретической физики. 2019. Т. 156. № 5 (11). С. 843-852.

27. Lu L.-H., Li Y.-Q. Atom-to-molecule conversion efficiency and adiabatic fidelity // Physical Review A. 2008. Vol. 77. Iss. 5. P. 053611.

28. Tsukada N. Complete population transfer between two Bose-Einstein condensates induced by nonlinear laser coupling // Physical Review A. 2000. Vol. 61. Iss. 6. P. 063602.

29. Keeling J. Polarized polariton condensates and coupled XY models // Physical Review B. 2008. Vol. 78. Iss. 20. P. 205316.

30. Reply to “Comment on ‘Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate’ ” / Drummond P. D., Kheruntsyan K. V., Heinzen D. J., Wynar R. A. // Physical Review A. 2005. Vol. 71. Iss. 1. P. 017602.

31. Jing H., Deng Y., Zhang W. Quantum control of light through an atom-molecule dark state // Physical Review A. 2009. Vol. 80. Iss. 2. P. 025601.

32. Хаджи П. И., Ткаченко Д. В. Динамика стимулированной рамановской атомно-молекулярной конверсии в бозе-эйнштейновском конденсате // Письма в Журнал экспериментальной и теоретической физики. 2006. Т. 83. Вып. 3. С. 120-124.


Review

Views: 78


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2949-5083 (Print)
ISSN 2949-5067 (Online)