Abstract
The possibility of Bose-Einstein condensation of a nonideal 2D Bose gas in an anti-trap external field is studied. The problem is solved exactly for the external potential of a special form u(x)=μ−u cosh 2(x/l), where μ is the chemical potential. The spectrum and eigenfunctions of elementary excitations are found. It is shown that at T=0 there exist a true long range order and a Bose condensate in the system.
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Shevchenko, S.I., Fil, D.V. & Mamalui, M.A. Existence of True Bose-Einstein Condensate in a 2D Interacting Gas in an Anti-Trap Geometry. Journal of Low Temperature Physics 121, 275–280 (2000). https://doi.org/10.1023/A:1017512605149
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DOI: https://doi.org/10.1023/A:1017512605149