1 / 19

Images of Bose-Einstein condensates

Images of Bose-Einstein condensates. Jacek Dziarmaga & Krzysztof Sacha. PRA 67, 033608 (2003) cond-mat/0503328. Kraków, Poland. Condensate interference. Bogoliubov theory. Diagonal t-dependent vacuum. Measurements on the vacuum. Condensate interference.

anisa
Download Presentation

Images of Bose-Einstein condensates

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Images of Bose-Einstein condensates Jacek Dziarmaga & Krzysztof Sacha PRA 67, 033608 (2003) cond-mat/0503328 Kraków, Poland

  2. Condensate interference Bogoliubov theory Diagonal t-dependent vacuum Measurements on the vacuum

  3. Condensate interference Javanainen & Yoo, PRL 76, 161 (1996) Fock state Single density measurement

  4. Condensate interference In experiment In computer experiment annihilation of atoms

  5. Condensate interference Phase ``collapse’’ by density measurement

  6. Quantum Bogoliubov theory Hamiltonian Small fluctuations Expansion Fig.Jav

  7. Bogoliubov transformation particles <-> quasiparticles Bogoliubov Hamiltonian Bogoliubov vacuum

  8. Time-dependent Bogoliubov theory Condensate in the ground state Condensate in an excited state

  9. Time-dependent Bogoliubov theory Excited state = t-dependent vacuum Ansatz Solution

  10. Diagonal dynamical vacuum We claim D & Sacha, PRA 67, 033608 (2003) cond-mat/0503328

  11. Proof (constructive)

  12. q - representation Real coordinates q

  13. q - representation Probability for q

  14. Density measurement

  15. Dark soliton Fig:imprinting Phase imprinting Organizers Burger et al., PRL 83, 5198 (1999)

  16. Phase imprinting in Bogoliubov theory Condesate Density after 2ms Total density after 2ms In focus Mode 1

  17. Density measurement Truncated vacuum

  18. Conclusion

  19. Condensate in thermal state Condensate in ``excited thermal state’’

More Related