Hong-Ou-Mandel亮孤子实验的平均场分析
A Mean-Field Analogue of the Hong-Ou-Mandel Experiment With Bright Solitons
摘要：
在目前的工作中，我们从理论上提出并数值说明了一个平均场模拟的宏欧曼德尔实验与明亮的孤子。更具体地说，我们将两个孤子相互散射（在我们的设置中，明亮的孤子扮演着原始实验中量子光子的经典模拟的角色），而分束器的角色则由排斥高斯势垒扮演。在我们的经典场景中，正如预期的那样，粒子的可区分性在两侧产生了$0.5$分裂质量。然而，对于与完全对称情形的非常轻微的偏差，接近完美的传输，即，可以代替地构造$|2,0>e$或$|0,2 >$状态，非常类似于量子力学输出。我们证明了这是一个通用的功能下的相对孤子速度的轻微变化，或在一个广泛的参数制度的相对振幅。我们还探索了“分束器”的性质的变化（即，高斯势垒）影响这种现象。
英文摘要：
In the present work, we theoretically propose and numerically illustrate a mean-field analogue of the Hong-Ou-Mandel experiment with bright solitons. More specifically, we scatter two solitons off of each other (in our setup, the bright solitons play the role of a classical analogue to the quantum photons of the original experiment), while the role of the beam splitter is played by a repulsive Gaussian barrier. In our classical scenario, distinguishability of the particles yields, as expected, a $0.5$ split mass on either side. Nevertheless, for very slight deviations from the completely symmetric scenario a near-perfect transmission i.e., a $|2,0>e$ or a $|0,2 >$ state can be constructed instead, very similarly to the quantum mechanical output. We demonstrate this as a generic feature under slight variations of the relative soliton speed, or of the relative amplitude in a wide parametric regime. We also explore how variations of the properties of the "beam splitter" (i.e., the Gaussian barrier) affect this phenomenology.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
