Real-space condensation in a dilute Bose gas at low temperature

Статьи, посвященные столетию со дня рождения Л. В. Шубникова

Автор(и)

  • I. O. Kulik Department of Physics, Bilkent University, Bilkent, Ankara 06533, Turkey

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PACS: 64.60.-i

Анотація

We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0,p=0). Quantization of particle motion in a well wipes out sharp transition but supports a distribution of radial particle density r(r) peacked at r=0 (a real-space condensate) as well as the phase-space Wigner distribution density W(r, p) peaked at r=0 and p=0 below the crossover temperature Tc* of order of Tc. Fixed-particle-number canonical ensemble which is a combination of the fixed-N condensate part and the fixed-m excitation part is suggested to resolve the difficulty of large fluctuation of the particle number (dN~N) in the Bose-Einstein condensation problem treated within the orthodox grand canonical ensemble formalism.

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Опубліковано

2001-10-10

Як цитувати

(1)
Kulik, I. O. Real-Space Condensation in a Dilute Bose Gas at Low Temperature: Статьи, посвященные столетию со дня рождения Л. В. Шубникова. Fiz. Nizk. Temp. 2001, 27, 1179-1182.

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