Großardt André, Bateman James, Ulbricht Hendrik, Bassi Angelo
Department of Physics, University of Trieste, 34151 Miramare-Trieste, Italy.
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy.
Sci Rep. 2016 Aug 4;6:30840. doi: 10.1038/srep30840.
The Schrödinger-Newton equation has gained attention in the recent past as a nonlinear modification of the Schrödinger equation due to a gravitational self-interaction. Such a modification is expected from a fundamentally semi-classical theory of gravity and can, therefore, be considered a test case for the necessity of the quantisation of the gravitational field. Here we provide a thorough study of the effects of the Schrödinger-Newton equation for a micron-sized sphere trapped in a harmonic oscillator potential. We discuss both the effect on the energy eigenstates and the dynamical behaviour of squeezed states, covering the experimentally relevant parameter regimes.
薛定谔-牛顿方程作为因引力自相互作用对薛定谔方程的非线性修正，在最近受到了关注。这种修正源于一种基本的半经典引力理论，因此可被视为引力场量子化必要性的一个测试案例。在此，我们对处于谐振子势阱中的微米级球体的薛定谔-牛顿方程的效应进行了全面研究。我们讨论了其对能量本征态的影响以及压缩态的动力学行为，涵盖了实验相关的参数范围。
