标题： 利用分子波包间接探测量子引力 显示英文标题

标题： Indirect Probe of Quantum Gravity using Molecular Wave-packets

摘要： 直接检验量子引力（QG）最明显的障碍是其能量尺度（$10^{19}$ GeV），这一尺度远远超出了任何人类制造的机器所能达到的范围。接下来最好的方法是在较低的能量尺度上对QG的有效理论进行间接检验。 本文正是朝着这个方向努力，并展示了通过测量自由大分子波包的色散来检验自然基本最小长度尺度存在的有希望的途径。 最小长度的存在被认为是位置和动量算符之间修改的对易关系的原因，在本文中，我们证明了这种对易关系的修改对自由波包的色散率有着深远的影响，并且对大分子波包（如$C_{60}$、$C_{176}$和大型有机分子）展宽时间的精确测量提供了一种在实验室条件下间接检验量子引力的有前景的方法。 显示英文摘要

摘要： The most obvious obstacle behind a direct test of Quantum Gravity (QG) is its energy scale ($10^{19}$ GeV), which remains well outside of any human made machine. The next best possible approach is to provide indirect tests on effective theories of QG which can be performed in a lower energy scale. This paper is aimed in this direction, and shows a promising path to test the existence of the fundamental minimal length scale of Nature by measuring the dispersion of free, large molecular wave-packets. The existence of the minimal length is believed to be the reason for a modified commutation relationship between the position and momentum operators and, in this paper, we show that such a modification of the commutator has a profound effect on the dispersion rate of free wave-packets, and precise measurement on the broadening times of large molecular wave-packets (such as $C_{60}$, $C_{176}$ and large organic molecules) provide a promising path for an indirect test of quantum gravity, in a laboratory setting.