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Effect of Zero Mode on the Response of Trapped Bose-Condensed Atoms

M. Mine, Tomoi Koide C, Masahiko Okumura +1 more

The response of the trapped Bose-Einstein condensate (BEC) is investigated. We regard the BEC as a manifestation of the spontaneous breakdown of the global phase symmetry. Then, the Goldstone theorem leads to the existence of the zero energy excitation mode (zeromode). We calculate the effect of the zero-mode to the response frequency and show that the contribution of the zero-mode to the first excitation mode becomes dominant as the temperature and/or the coupling constant are increased.

Journal of Physics Conference SeriesMar 21, 20060 citations

Zero-mode fluctuations for two-component Bose-Einstein condensates

Takahashi Jun'ichi, Yuto Hayaki, Y. Yamanaka

日本物理学会講演概要集Jan 1, 20200 citations

Quantum Phase Coordinate as a Zero-Mode in Bose-Einstein Condensed States

H. Matsumoto, S. Sakamoto

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 Nc3/5T term in the free energy and a kBTNc−2/5 term in the particle number, where Nc is the number of condensed particles.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 Nc3/5T term in the free energy and a kBTNc−2/5 term in the particle number, where Nc is the number of condensed particles.

Progress of Theoretical PhysicsApr 1, 200228 citations

Stability of Bose-Einstein condensates

博史森瀬

Jan 1, 20030 citations

Vortices in Bose-Einstein Condensed Na Atoms

Keshav Narain Shrivastava

There are surface modes on the Bose-Einstein condensed Na atoms so that the number of vortices diverges when the stirring frequency becomes equal to that of the surface waves. We introduce the finite life time of the surface modes so that the number of vortices becomes finite. Usually the number of vortices is a linear function of the stirring frequency. We find that this linearity is destroyed by the finite life time and a peaked function emerges with several peaks, one for each surface mode. The vortices become normal, as they should be, so that there occurs a phase transition from normal to the superfluid state.There are surface modes on the Bose-Einstein condensed Na atoms so that the number of vortices diverges when the stirring frequency becomes equal to that of the surface waves. We introduce the finite life time of the surface modes so that the number of vortices becomes finite. Usually the number of vortices is a linear function of the stirring frequency. We find that this linearity is destroyed by the finite life time and a peaked function emerges with several peaks, one for each surface mode. The vortices become normal, as they should be, so that there occurs a phase transition from normal to the superfluid state.

arXiv:cond-mat/0111357Nov 20, 20010 citations

Zero-mode in Bose-Einstein condensed states

秀樹松本

素粒子論研究Feb 20, 20030 citations

Effects of zero mode and thin spectrum on the life time of atomic Bose Einstein condensates

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