论文标题
在披露存在下，在模拟的宇宙学中粒子的量子布朗运动
Quantum Brownian motion for a particle in analog expanding cosmologies in the presence of disclination
论文作者
论文摘要
在本文中，我们研究了在凝结物质系统中，在存在披露的情况下，在模拟弗里德曼·罗伯逊 - 骑行时期的标量点粒子的量子布朗运动。模拟时空是作为对声波的量子激发（名为Phonon的量子激发）的有效描述。声子的动力学由无质量的真实标量场描述，其模式也经历了准周期条件。从这个意义上讲，在这种情况下，我们找到了真实标量场的精确解，并计算两点函数，从而可以在各个方向上分析粒子的平均平方速度分散。因此，我们分析了一些有趣的特殊情况，并显示了一些图表，可以看到我们结果的一致性。
In this paper we study the quantum brownian motion of a scalar point particle in the analog Friedman-Robertson-Walker spacetime in the presence of a disclination, in a condensed matter system. The analog spacetime is obtained as an effective description of a Bose-Einstein condensate in terms of quantum excitations of sound waves, named phonons. The dynamics of the phonons is described by a massless real scalar field whose modes are also subjected to a quasi-periodic condition. In this sense, we find exact solutions for the real scalar field in this scenario and calculate the two-point function which makes possible to analyze the mean squared velocity dispersion of the particle in all directions. We, thus, analyze some interesting particular cases and show some graphs where it is possible to see the consistency of our results.
