论文标题
bose爱因斯坦冷凝水延迟崩溃的变分模型
A variational model for the delayed collapse of Bose Einstein condensates
论文作者
论文摘要
我们提出了一种可用于研究玻色爱因斯坦冷凝水的崩溃的作用。即使包含耗散术语，该动作是真实的。它采用原子之间的远距离相互作用，因此即使剩余的原子数量高于局部相互作用是关键的原子的数量，也总是有稳定的能量。拟议的动作结合了突然和延迟崩溃发作所需的时间，实际上它依赖于散射长度。我们表明，冷凝物的演变等于粒子在有效电位上的运动。粒子开始其运动远离稳定平衡点，然后继续在该点上振荡。我们证明，塌陷后，所得的大振荡频率的频率等于陷阱的频率的两倍。我们的结果与实验观察一致。
We present an action that can be used to study variationally the collapse of Bose Einstein condensates. This action is real, even though it includes dissipative terms. It adopts long range interactions between the atoms, so that there is always a stable minimum of the energy, even if the remaining number of atoms is above the number that in the case of local interactions is the critical one. The proposed action incorporates the time needed for the abrupt and delayed onset of collapse, yielding in fact its dependence on the scattering length. We show that the evolution of the condensate is equivalent to the motion of a particle in an effective potential. The particle begins its motion far from the point of stable equilibrium and it then proceeds to oscillate about that point. We prove that the resulting large oscillations in the shape of the wavefunction after the collapse have frequencies equal to twice the frequencies of the traps. Our results agree with the experimental observations.
