一维简谐势阱中相互作用粒子的量子呼吸模
Quantum Breathing Mode of Interacting Particles in a One-dimensional Harmonic Trap
摘要：
扩展我们以前的工作，我们探索呼吸模式-[均匀]径向膨胀和收缩的空间受限系统。我们研究了从理想量子态到经典态的过渡过程中的呼吸模式，并证实了它不是独立于对相互作用强度（耦合参数）的。我们给出了含时的Hartree-Fock模拟的结果，2到20个费米子与库仑相互作用，并显示量子呼吸模式如何依赖于粒子数。我们验证了我们的结果的准确性，将它们与多达8个粒子的精确组态相互作用结果进行比较。
英文摘要：
Extending our previous work, we explore the breathing mode---the [uniform] radial expansion and contraction of a spatially confined system. We study the breathing mode across the transition from the ideal quantum to the classical regime and confirm that it is not independent of the pair interaction strength (coupling parameter). We present the results of time-dependent Hartree-Fock simulations for 2 to 20 fermions with Coulomb interaction and show how the quantum breathing mode depends on the particle number. We validate the accuracy of our results, comparing them to exact Configuration Interaction results for up to 8 particles.
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