Gravitationally induced inhibitions of dispersion according to the Schrödinger–Newton equation
Gravitationally induced inhibitions of dispersion according to the Schrödinger–Newton equation
复制标题
根据薛定谔-牛顿方程，重力诱导的色散抑制
DOI：
10.1088/0264-9381/28/19/195026
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发表时间：
2011
影响因子：
3.5
通讯作者：
André Großardt
中科院分区：
文献类型：
--
作者：
D. Giulini;André Großardt
我们重新考虑作为量子系统的自引力相互作用模型的含时薛定谔-牛顿方程。我们数值定位了高斯波包色散的引力诱导抑制的开始，并发现它们发生在比Salzman和Carlip报告的质量值高出六个数量级以上的质量值（Salzman和Carlip 2006，arXiv：gr-qc/0606120，Carlip 2008级）。量子重力25 107-44），即在约1010 u.这更符合简单的分析估计，但不幸的是，在可预见的未来，量子引力的实验室测试的实验可实现性也受到质疑，不仅因为大质量，而且因为需要提供足够长的相干时间。
We reconsider the time-dependent Schrödinger–Newton equation as a model for the self-gravitational interaction of a quantum system. We numerically locate the onset of gravitationally induced inhibitions of dispersion of Gaussian wave packets and find them to occur at mass values more than six orders of magnitude higher than reported by Salzman and Carlip (Salzman and Carlip 2006, arXiv:gr-qc/0606120, Carlip 2008 Class. Quantum Grav. 25 107–44), namely at about 1010 u. This fits much better to simple analytical estimates but unfortunately also questions the experimental realizability of the proposed laboratory test of quantum gravity in the foreseeable future, not just because of large masses, but also because of the need to provide sufficiently long coherence times.