Repulsive Casimir Force of the Free and Harmonically Trapped Bose Gas in the Bose-Einstein Condensate Phase

AYDINER E.

ANNALEN DER PHYSIK, cilt.532, sa.8, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 532 Sayı: 8
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1002/andp.202000178
  • Dergi Adı: ANNALEN DER PHYSIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: Bose-Einstein condensation, Casimir effect, quantum gases, DENSITY-OF-STATES, RANGE
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this study, ideal free and harmonically trapped Bose gases confined by two plates in thex-y-plane in-between distancedare considered. The Casimir potential is obtained from the grand canonical potential of these quantum Bose gases for the Zaremba and the anti-periodic boundary conditions. The Casimir force is then obtained for the Bose-Einstein condensate phaseT <= Tcand for the non-condensate phaseT>Tc. It is shown that Casimir forces are repulsive for these boundary conditions. Additionally, it is shown that Casimir forces exponentially decay in the non-condensate phaseT>Tcwith the decay lengths. These decay lengths were discussed and compared for different boundary conditions. As a result, new results are obtained for harmonically trapped Bose gas and the free gas results are compared with previous results.