论文标题
可调旋转轨道耦合的玻璃纤维凝结物的相图
Phase diagrams of tunable spin-orbit coupled Bose-Einstein condensates
论文作者
论文摘要
我们通过使用变分方法分析地计算出具有有效的两体相互作用的可调旋转轨道耦合BEC的相边界。分别显示了定期驾驶$^{87} \ rm {rb} $和$^{23} \ rm {na} $系统的相图，它们显示了几种特征功能与未启用系统的特征对比。在$^{87} \ rm {rb} $ bec中，可以在某些参数区域大大降低关键密度$ n_ {c} $（量子三明点处的密度），因此观察到这一吸引人的量子三级点的前景大大升高。此外，一系列的量子三智力点出现了准序列，随着固定$^{87} \ rm {rb} $密度的固定拉曼耦合强度提高了拉曼耦合强度。在$^{23} \ rm {na} $ bec中，两个$^{23} \ rm {na} $原子的超细状态由于在适当的参数下驾驶而可能是可见的。结果，$^{23} \ rm {na} $系统可以在典型密度的小拉曼频率下保持在条纹阶段。这扩展了相图中的条纹阶段区域。此外，在这样的$^{23} \ rm {na} $系统中没有量子三级点，它与$^{87} \ rm {rb} $ system不同。
We analytically calculate phase boundaries of tunable spin-orbit coupled BECs with effective two-body interactions by using variational method. Phase diagrams for periodically driving $^{87}\rm{Rb}$ and $^{23}\rm{Na}$ systems are presented, respectively, which display several characteristic features contrast with those of undriven systems. In the $^{87}\rm{Rb}$ BECs, the critical density $n_{c}$ (density at quantum tricritical point) can be dramatically reduced in some parameter regions, thus the prospect of observing this intriguing quantum tricritical point is greatly enlarged. Moreover, a series of quantum tricritical points emerge quasi-periodically with increasing the Raman coupling strength for fixed $^{87}\rm{Rb}$ density. In the $^{23}\rm{Na}$ BECs, two hyperfine states of $^{23}\rm{Na}$ atoms can be miscible due to driving under proper parameters. As a result, $^{23}\rm{Na}$ systems can stay in the stripe phase with small Raman frequency at typical density. This expands the region of stripe phase in the phase diagram. In addition, there is no quantum tricritical point in such $^{23}\rm{Na}$ system , which is different from $^{87}\rm{Rb}$ system.
