arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0905.3634cond-mat.quant-gasgr-qc
收藏

玻色-爱因斯坦凝聚体中的黑洞辐射

Black-hole radiation in Bose-Einstein condensates

Jean Macher, Renaud Parentani

摘要:

我们研究了凝聚速度与声速交叉时的声子通量,即,在类似于黑洞的背景下。我们专注于细长的一维凝聚和静止流。我们的理论分析和数值结果是基于Bogoliubov-de Gennes方程没有进一步的近似。得到了有和没有初始温度时通量和长距离密度-密度关联的谱特性。在现实条件下,我们表明,冷凝温度占主导地位的通量,从而隐藏了存在的自发发射(霍金效应)。我们还解释了为什么温度放大了长距离的相关性,这是内在的这种效果。这证实了相关模式提供了霍金效应的一个整洁的签名。观察图案的最佳条件进行了讨论,以及与经典波的散射相关的图案。还考虑了与白洞有关的流动。

英文摘要:

We study the phonon fluxes emitted when the condensate velocity crosses the speed of sound, i.e., in backgrounds which are analogous to that of a black hole. We focus on elongated one dimensional condensates and on stationary flows. Our theoretical analysis and numerical results are based on the Bogoliubov-de Gennes equation without further approximation. The spectral properties of the fluxes and of the long distance density-density correlations are obtained, both with and without an initial temperature. In realistic conditions, we show that the condensate temperature dominates the fluxes and thus hides the presence of the spontaneous emission (the Hawking effect). We also explain why the temperature amplifies the long distance correlations which are intrinsic to this effect. This confirms that the correlation pattern offers a neat signature of the Hawking effect. Optimal conditions for observing the pattern are discussed, as well as correlation patterns associated with scattering of classical waves. Flows associated with white holes are also considered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑