Fermionization in an Expanding 1D Gas of Hard-Core Bosons
Fermionization in an Expanding 1D Gas of Hard-Core Bosons
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DOI：
10.1103/physrevlett.94.240403
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发表时间：
2004-10
影响因子：
8.6
通讯作者：
M. Rigol;A. Muramatsu
中科院分区：
文献类型：
--
作者：
M. Rigol;A. Muramatsu
我们通过精确的数值方法表明，在一维晶格上，由硬核玻色子组成的自由膨胀气体的动量分布接近于非相互作用费米子的动量分布，从而获得费米边。然而，单粒子密度矩阵{rho}{下标x}{大约}1/{基}(x)的幂律衰减，就像基态的硬核玻色子一样，在所有膨胀时间里，它占据了最低自然轨道的大部分。详细分析了平衡状态下未观察到的动量分布函数的费米化现象。
We show by means of an exact numerical approach that the momentum distribution of a free expanding gas of hard-core bosons on a one-dimensional lattice approaches that of noninteracting fermions, acquiring a Fermi edge. Yet there is a power-law decay of the one-particle density matrix {rho}{sub x}{approx}1/{radical}(x), as usual for hard-core bosons in the ground state, which accounts for a large occupation of the lowest natural orbitals for all expansion times. The fermionization of the momentum distribution function, which is not observed in equilibrium, is analyzed in detail.