梯度折射率optical fiber模拟三原子相互作用系统：粒子统计和经典不可分性的照明控制
Graded-index optical fiber emulator of an interacting three-atom system: illumination control of particle statistics and classical non-separability
摘要：
我们表明，一个系统的三个被困的超冷和强相互作用的原子在一维可以模拟使用光纤的梯度折射率分布和薄金属板。虽然单量子粒子的波动性质导致了与经典光学的直接和众所周知的类比，但对于具有不受限制统计的相互作用多粒子系统，这种类比并不简单。在这里，我们通过使用离散群理论研究了光纤本征态中存在的对称性，并表明，通过空间调制入射场，可以选择原子统计，即，模拟三个玻色子、费米子或两个玻色子或费米子加上一个额外的可区分粒子的系统。我们还表明，该光学系统是能够产生类似于在类似的原子系统中发现的经典不可分性。
英文摘要：
We show that a system of three trapped ultracold and strongly interacting atoms in one-dimension can be emulated using an optical fiber with a graded-index profile and thin metallic slabs. While the wave-nature of single quantum particles leads to direct and well known analogies with classical optics, for interacting many-particle systems with unrestricted statistics such analoga are not straightforward. Here we study the symmetries present in the fiber eigenstates by using discrete group theory and show that, by spatially modulating the incident field, one can select the atomic statistics, i.e., emulate a system of three bosons, fermions or two bosons or fermions plus an additional distinguishable particle. We also show that the optical system is able to produce classical non-separability resembling that found in the analogous atomic system.
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