DENSITY OF CONDENSATE OF WEAKLY INTERACTING BOSE GAS CONFINED BETWEEN TWO HARD WALLS IN IMPROVED HARTREE-FOCK APPROXIMATION
Keywords:Bose gas, Density of condensate, Finite-size effect, Improved Hartree-Fock approximation.
By means of the Cornwall-Jackiw-Tomboulis effective potential, the condensate density of a weakly interacting Bose gas confined between two hard walls is investigated within an improved Hartree-Fock approximation (IHF). Our results show that the condensate density in an IHF approximation is always bigger than the one in a double-bubble approximation and that the condensate density strongly depends on the distance between two walls as well as the gas parameter.
Andersen, J. O. (2004). Theory of the weakly interacting Bose gas. Rev. Mod. Phys. 76, 599-639.
Ao, P., & Chui, S. T. (1998). Binary Bose-Einstein condensate mixtures in weakly and strongly segregated phases. Physical Review A, 58(6), 4836-4840.
Arfken, G. B., & Weber, H. J. (2005). Mathematical Methods for Physicists. California, USA: San Diego Academic.
Barankov, R. A. (2002). Boundary of two mixed Bose-Einstein condensates. Physical Review A, 66, 1-5.
Egorov, M., Opanchuk, B., Drummond, P., Hall, B. V., Hannaford, P., & Sidorov, A. I. (2013). Measurement of s-wave scattering lengths in a two-component Bose-Einstein condensate. Physical Review A, 87, 3614-3620.
Indekeu, J. O., Lin, C. Y., Nguyen, V. T., Schaeybroeck, B. V., & Tran, H. P. (2015). Static interfacial properties of Bose-Einstein-condensate mixtures. Physical Review A, 91, 3615-3621.
Indekeu, J. O., Nguyen, V. T., Lin, C. Y., & Tran, H. P. (2018). Capillary-wave dynamics and interface structure modulation in binary. Physical Review A, 97, 3605-3612.
Ivanov, Y. B., Riek, F., & Knoll, J. (2005). Gapless Hartree-Fock resummation scheme for the O(N) model. Physical Review D, 71, 5016-5023.
Nguyen, V. T. (2018). The forces on a single interacting Bose-Einstein condensate. Phys. Lett. A, 382, 1078-1085.
Nguyen, V. T., & Hoang, V. Q. (2018). Antonov wetting line phase transition of two-component Bose-Einstein condensates under constraint of Robin boundary condition. Dalat University Journal of Science, 8(3), 61-68.
Nguyen, V. T., & Luong, T. T. (2017). Casimir force of two-component Bose-Einstein condensates confined by a parallel plate geometry. Journal of Statistical Physics 168(1), 1-10.
Nguyen, V. T., & Luong, T. T. (2018). Influence of the finite size effect on properties of a weakly interacting Bose gas in improved Hartree-Fock approximation. Vietnam National University Journal of Science, 34(3), 43-47.
Nguyen, V. T., & Luong, T. T. (2019). Finite-size effect on Bose Einstein condensate mixtures in improved Hartree-Fock approximation. Int. J. Mod. Phys. B, 33(12), 1-10.
Pethick, C. J., & Smith, H. (2008). Bose-Einstein condensation in dilute gas. Cambridge, UK: Cambridge University Press.
Tran, H. P., Le, V. H., Nguyen, T. A., & Nguyen, V. L. (2009). Bose-Einstein condensation in binary mixture of Bose gases. Ann. Phys. 324, 2074-2085.
Volume and Issues
Copyright & License
Copyright (c) 2020 Nguyễn Văn Thụ.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.