Roles of Collective Excitations in the Anomalous Fluctuations of One-Dimensional Interacting Bose-Condensed Gases
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Abstract
The particle-number fluctuations due to collective excitations are calculated for a one-dimensional interacting Bose-condensed gas confined in a harmonic potential. By using the Thomas-Fermi
approximation, the behaviour of the anomalous fluctuations is found to be <δ2N0> ～ N10/3/( ln N)2 with N being the total number of particles.
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LIU Shu-Juan, XIONG Hong-Wei, XU Zhi-Jun, HUANG Lin. Roles of Collective Excitations in the Anomalous Fluctuations of One-Dimensional Interacting Bose-Condensed Gases[J]. Chin. Phys. Lett., 2003, 20(10): 1672-1673.
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LIU Shu-Juan, XIONG Hong-Wei, XU Zhi-Jun, HUANG Lin. Roles of Collective Excitations in the Anomalous Fluctuations of One-Dimensional Interacting Bose-Condensed Gases[J]. Chin. Phys. Lett., 2003, 20(10): 1672-1673.
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LIU Shu-Juan, XIONG Hong-Wei, XU Zhi-Jun, HUANG Lin. Roles of Collective Excitations in the Anomalous Fluctuations of One-Dimensional Interacting Bose-Condensed Gases[J]. Chin. Phys. Lett., 2003, 20(10): 1672-1673.
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LIU Shu-Juan, XIONG Hong-Wei, XU Zhi-Jun, HUANG Lin. Roles of Collective Excitations in the Anomalous Fluctuations of One-Dimensional Interacting Bose-Condensed Gases[J]. Chin. Phys. Lett., 2003, 20(10): 1672-1673.
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