膨胀一维任意子流体的费米子化和玻色化
Fermionization and bosonization of expanding 1D anyonic fluids
摘要：
本文用精确的数值方法研究了一维硬核任意子膨胀云的动量分布，发现在足够长的时间内（动力学费米子化），它与非相互作用自旋极化费米气体的动量分布是不可区分的.我们还考虑了具有强吸引短程相互作用的一维任意子突然从抛物外势中释放出来的膨胀，发现动量分布接近其对偶系统，理想玻色气体（动力玻色化）。对于这两个过程的特征时间尺度确定，和初始约束的效果进行了分析比较与谐波和硬壁陷阱的动态。
英文摘要：
The momentum distribution of an expanding cloud of one-dimensional hard-core anyons is studied by an exact numerical approach, and shown to become indistinguishable from that of a non-interacting spin-polarized Fermi gas for large enough times (dynamical fermionization). We also consider the expansion of one-dimensional anyons with strongly attractive short-range interactions suddenly released from a parabolic external potential, and find that momentum distribution approaches that of its dual system, the ideal Bose gas (dynamical bosonization). For both processes the characteristic time scales are identified, and the effect of the initial confinement is analyzed comparing the dynamics associated with both harmonic and hard-wall traps.
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