论文标题
通过Beliaev-Landau阻尼1d原子玻色的质子衰减
Phonon decay in 1D atomic Bose quasicondensates via Beliaev-Landau damping
论文作者
论文摘要
在一维玻色气体中,没有非平凡的散射通道,涉及三个可保存能量和动量的Bogoliubov准粒子。然而,我们表明,这种3波混合过程(Beliaev和Landau阻尼)通过与热波动的相互作用来解释它们的衰变。在预计将应用费米黄金法则的适当时间窗口中,最初占用模式的职业数量呈指数衰减,并且速率采用简单的分析形式。结果证明,与基于截短的Wigner近似的模拟相比,其比较有利。还表明,相同的过程减慢了通过参数振荡引起的声子的指数生长。
In a 1D Bose gas, there is no non-trivial scattering channel involving three Bogoliubov quasiparticles that conserves both energy and momentum. Nevertheless, we show that such 3-wave mixing processes (Beliaev and Landau damping) account for their decay via interactions with thermal fluctuations. Within an appropriate time window where the Fermi Golden Rule is expected to apply, the occupation number of the initially occupied mode decays exponentially and the rate takes a simple analytic form. The result is shown to compare favorably with simulations based on the Truncated Wigner Approximation. It is also shown that the same processes slow down the exponential growth of phonons induced by a parametric oscillation.