Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems.
Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems.
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DOI：
10.1038/srep30840
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发表时间：
2016-08-04
影响因子：
4.6
通讯作者：
Bassi A
中科院分区：
文献类型：
--
作者：
Großardt A;Bateman J;Ulbricht H;Bassi A
薛定谔-牛顿方程是薛定谔方程的一个非线性修正，由于引力自相互作用而引起了人们的注意。这样的修正是从一个基本的半经典引力理论中预期的，因此可以被认为是引力场量子化必要性的一个测试案例。在这里，我们提供了一个深入的研究薛定谔-牛顿方程的影响，一个微米大小的球体被困在谐振子潜力。我们讨论了压缩态的能量本征态和动力学行为的影响，包括实验相关的参数制度。
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.