论文标题
从2D到1d的尺寸交叉处被困的光子气体的热力学
Thermodynamics of Trapped Photon Gases at Dimensional Crossover from 2D to 1D
论文作者
论文摘要
光子玻色的凝结物的特征是相当弱的相互作用，因此它们的行为几乎是理想的玻色气体。此外，由于当前的实验是在微腔中进行的，因此纵向运动被冻结，光子气体有效地代表了大型玻色子的二维捕获气体。在本文中，我们将重点放在二维的和谐约束理想的玻璃气上，在该维度上，限制的各向异性允许跨越维度的交叉。如果一个方向的限制足够强大，以使挤压方向冻结，那么只有一个自由就可以生存，并且可以将系统视为准确的维度。鉴于实验设置，我们可以分析具有有限数量光子的系统的热力学特性。特别是，我们专注于检查相应热力学量中包含的维度信息。
Photon Bose-Einstein condensates are characterised by a quite weak interaction, so they behave nearly as an ideal Bose gas. Moreover, since the current experiments are conducted in a microcavity, the longitudinal motion is frozen out and the photon gas represents effectively a two-dimensional trapped gas of massive bosons. In this paper we focus on a harmonically confined ideal Bose gas in two dimensions, where the anisotropy of the confinement allows for a dimensional crossover. If the confinement in one direction is strong enough so that this squeezed direction is frozen out, then only one degree of freedom survives and the system can be considered to be quasi-one dimensional. In view of an experimental set-up we work out analytically the thermodynamic properties for such a system with a finite number of photons. In particular, we focus on examining the dimensional information which is contained in the respective thermodynamic quantities.
