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Li Rui-Zong1, 3, Gao Tian-You1, †, Zhang Dong-Fang1, Peng Shi-Guo1, Kong Ling-Ran1, 3, Shen Xing1, 3, Jiang Kai-Jun1, 2, ‡
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(a) Schematics of energy components during the free expansion. The trapping potential is switched off at t = 0. Ep is the potential energy, Erel is the release energy, Ekin is the kinetic energy, Eint is the interaction energy, and μ is the chemical potential. After a long-time expansion (
t
>
t
1
), the interaction energy is completely converted to the kinetic energy. (b) The scaling factor
λ
(
τ
)
=
R
(
τ
)
/
R
(
0
)
versus the scaling expansion time τ. R(0) is the TF radius of the BEC in the trap and
τ
=
ω
t
. The black solid curve denotes the calculation with Eq. (5) for the whole expansion process. The blue dotted curve indicates the calculation with Eq. (6) for the short-time expansion. The red dashed curve is the calculation with Eq. (7) for the long-time expansion.
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