论文标题
由于线性加速度和圆形运动而获得的两级原子获得的几何相
Geometric phases acquired for a two-level atom coupled to fluctuating vacuum scalar fields due to linear acceleration and circular motion
论文作者
论文摘要
在开放的量子系统中，我们研究了用于两级原子所获得的几何阶段，该原子与无线性加速度和没有边界的循环运动引起的循环真空无质量标量场耦合。在自由空间中，随着我们扩大加速度的扩增，纯粹是由于线性加速度而获得的几何阶段首先，首先要小于初始原子状态$θ\ in（0，\fracπ{2} {2}）\fracπ{\fracπ{\fracπ{2}，c {fracπ{2} $ can，fraccoutive occourtion $fracπ{2}，c {2}，fracous和cyles，c {2}，fracouse，fracouse和Equaltion y和Equaltion cas，fraccoutive fraccoutivis $θ\ in（fracπ最后，大于圆形加速度。自发过渡速率显示出类似的特征。该结果与已研究的波动真空电磁场的浴场不同。考虑到初始原子状态$θ\ in（0，π）$，我们发现几何相纯粹是由于线性加速度始终等于某些加速度的圆加速度。该特征表明，在某种条件下，可以通过研究循环运动中的两级原子的特性来模拟均匀加速的两级原子的情况。添加反射边界，我们观察到与没有边界相比，可以获得更大的几何相值。此外，几何相沿$ z $波动，几何相的最大几何相对于更大的加速度更接近边界。我们还发现，几何阶段可以纯粹是由于线性加速度案例和圆形加速度案例，其$θ\ in（0，π）$，对于较小的$ z $。
In open quantum systems, we study the geometric phases acquired for a two-level atom coupled to a bath of fluctuating vacuum massless scalar fields due to linear acceleration and circular motion without and with a boundary. In free space, as we amplify acceleration, the geometric phase acquired purely due to linear acceleration case firstly is smaller than the circular acceleration case in the ultrarelativistic limit for the initial atomic state $θ\in(0,\fracπ{2})\cup(\fracπ{2},π)$, then equals to the circular acceleration case in a certain acceleration, and finally, is larger than the circular acceleration case. The spontaneous transition rates show a similar feature. This result is different from the case of a bath of fluctuating vacuum electromagnetic fields that has been studied. Considering the initial atomic state $θ\in(0,π)$, we find that the geometric phase acquired purely due to linear acceleration always equals to the circular acceleration case for the certain acceleration. The feature implies that, in a certain condition, one can simulate the case of the uniformly accelerated two-level atom by studying the properties of the two-level atom in circular motion. Adding a reflecting boundary, we observe that a larger value of a geometric phase can be obtained compared to the absence of a boundary. Besides, the geometric phase fluctuates along $z$, and the maximum of geometric phase is closer to the boundary for a larger acceleration. We also find that geometric phases can be acquired purely due to the linear acceleration case and circular acceleration case with $θ\in(0,π)$ for a smaller $z$.
