Quantum Phase Coordinate as a Zero-Mode in Bose-Einstein Condensed States
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概要
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In Bose-Einstein condensation of dilute alkaline atomic gases, a magnetic trapped potential forces particle-excitation levels to have a discrete spectrum. This indicates that there must arise a discrete zero-mode associated with the phase symmetry to be consistent with the Goldstone theorem. It is shown that the zero-mode can be identified as a quantum phase coordinate and that its presence is required from the canonical relation of field operators. Thermal fluctuations of the quantum phase coordinate induce a T log N^<3/5>_cT term in the free energy and a k_BTN^<-2/5>_c term in the particle number, where N_c is the number of condensed particles.
- 理論物理学刊行会の論文
- 2002-04-25
著者
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MATSUMOTO Hideki
Institute for Materials Research, Tohoku University
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Sakamoto Shoichi
Department Of Applied Physics Seikei University
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Matsumoto Hideki
Department Applied Physics Seikei University:(present Address)institute Of Physics University Of Tsu
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Matsumoto Hideki
Department Of Applied Physics Seikei University:(present Address)institute Of Physics Univ. Of Tsuku
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Sakamoto Shoichi
Department Applied Physics Seikei University
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Matsumoto Hideki
Dipartimento Di Fisica Teorica E Sue Metodologie Per Le Scienze Applicate Universita Di Salermo
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MATSUMOTO Hideki
Applied Physics, Seikei University
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MATSUMOTO Hideki
Department of Applied Physics, Seikei University:(Present address)Institute of Physics,Univ. of Tsukuba
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MATSUMOTO Hideki
Department of Physics, University of Alberta, Edmonton, Alberta
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