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A Theoretical Investigation of Low-Dimensional Bose-Einstein Condensations
並列摘要
Low-dimensional Bose-Einstein condensations (BEC) for g(ε) (the density of states) = Cdε(superscript d-1) with d ≤ 1, corresponding to a dimensionality of not larger than 2, are theoretically analyzed. When the energy quantization of the first excited state is taken into account, the boson number in the excited states is finite even for d ≤ 1 with the density of states remaining proportional toε(superscript d-1). The condensation temperature increases with the particle number faster for d ≤ 1 than for d ＞ 1. The condensation depends highly on the quantized energyε1 of the first excited state. Whenε1 just deviates slightly from zero, the condensation temperature quickly increases withε1. Theoretical estimation shows that a low-dimensional BEC can occur at a temperature above 1 K for excitons in semiconductor quantum wells even without the harmonic-oscillator potential.
並列關鍵字
無資料延伸閱讀
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