论文标题
BTZ时空的羔羊移动
The Lamb shift in the BTZ spacetime
论文作者
论文摘要
我们研究了一个两级原子的羔羊转移，该羔羊是由于其耦合到保形的无质量标量场而引起的，在BTZ时空的hartle-Hawking真空中满足了Dirichlet边界条件，并发现BTZ时空的羔羊在结构上与统一的加速度相似，在结构上相似，是在统一的范围内 - 2+1+1+1+1+1+1+1（2）时空。我们的结果表明，与平坦的时空相比，只要原子的过渡波长大于BTZ时空的$ ADS $半径，但如果原子的过渡波长要么低于ADS $ $ $ $ $ radius，羔羊的移位就会在BTZ时空抑制。相比之下，羔羊的移位总是被抑制非常接近BTZ时空的地平线，并且在平坦的时空中，尽管局部温度在那里膨胀，但它在平坦的时空中会减少。
We study the Lamb shift of a two-level atom arising from its coupling to the conformal massless scalar field, which satisfies the Dirichlet boundary conditions, in the Hartle-Hawking vacuum in the BTZ spacetime, and find that the Lamb shift in the BTZ spacetime is structurally similar to that of a uniformly accelerated atom near a perfectly reflecting boundary in (2+1)-dimensional flat spacetime. Our results show that the Lamb shift is suppressed in the BTZ spacetime as compared to that in the flat spacetime as long as the transition wavelength of the atom is much larger than $AdS$ radius of the BTZ spacetime while it can be either suppressed or enhanced if the transition wavelength of the atom is much less than $AdS$ radius. In contrast, the Lamb shift is always suppressed very close to the horizon of the BTZ spacetime and remarkably it reduces to that in the flat spacetime as the horizon is approached although the local temperature blows up there.
