arXiv 0907.07202009-07cond-mat.quant-gasquant-ph

原子玻色-爱因斯坦凝聚体的半经典动力学

Semiclassical dynamics of atomic Bose-Einstein condensates

S. Choi, B. Sundaram

备注：: 4 figures. Submitted for publication. v2: includes a couple of new references and some additional sentences

摘要：

原子玻色-爱因斯坦凝聚体（BEC）通常被描述为一个宏观物体，可以用相干态来近似。从表面上看，这似乎表明它的行为应该接近经典。在本文中，我们澄清如何“经典”的BEC是通过探索半经典方程的平均场高斯近似下。这样的方程描述了凝聚态在经典极限下的动力学，用变量< x >和< p >以及它们各自的方差来表示。我们比较了半经典解和基于Gross-Pitaevskii方程（GPE）的全量子解，发现产生非线性的原子间相互作用使系统不那么“经典”.“另一方面，半经典方程捕获了许多定性特征，并且要求解的方程的计算强度远远低于求解GPE，这使得它们成为提供快速诊断和获得新的直观见解的理想选择。

英文摘要：

An atomic Bose-Einstein condensate (BEC) is often described as a macroscopic object which can be approximated by a coherent state. This, on the surface, would appear to indicate that its behavior should be close to being classical. In this paper, we clarify the extent of how "classical" a BEC is by exploring the semiclassical equations for BECs under the mean field Gaussian approximation. Such equations describe the dynamics of a condensate in the classical limit in terms of the variables < x > and < p > as well as their respective variances. We compare the semiclassical solution with the full quantum solution based on the Gross-Pitaevskii Equation (GPE) and find that the interatomic interactions which generate nonlinearity make the system less "classical." On the other hand, many qualitative features are captured by the semiclassical equations, and the equations to be solved are far less computationally intensive than solving the GPE which make them ideal for providing quick diagnostics, and for obtaining new intuitive insight.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文