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arXiv 2108.05155cond-mat.quant-gascond-mat.stat-mech
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一维玻色-费米混合体中的动力学费米化

Dynamical fermionization in a one-dimensional Bose-Fermi mixture

Ovidiu I. Patu

摘要:

从陷阱释放后,不可穿透气体的动量分布渐近地接近初始陷阱中无自旋非相互作用费米气体的动量分布。这种现象被称为动力学费米子化,最近,在唐克斯-吉拉多体系中的利卜-林尼格模型中得到了实验证实。我们用解析和数值方法证明了在去除轴向约束后,强相互作用玻色-费米混合物表现出动力学费米子化,并且各组分的渐近动量分布与其在$t=0$的密度分布具有相同的形状.在陷阱频率突然变化到一个新的非零值的动力学的费米和玻色子的动量分布的特点是类似的情况下,单组分玻色子经历了类似的淬火。我们的研究结果是使用产品表示的关联函数,除了分析的考虑,可以很容易地实现数值计算的复杂性,在粒子的数量的多项式尺度。

英文摘要:

After release from the trap the momentum distribution of an impenetrable gas asymptotically approaches that of a spinless noninteracting Fermi gas in the initial trap. This phenomenon is called dynamical fermionization and, very recently, has been experimentally confirmed in the case of the Lieb-Liniger model in the Tonks-Girardeau regime. We prove analytically and confirm numerically that following the removal of axial confinement the strongly interacting Bose-Fermi mixture exhibits dynamical fermionization and the asymptotical momentum distribution of each component has the same shape as its density profile at $t=0$. Under a sudden change of the trap frequency to a new non-zero value the dynamics of both fermionic and bosonic momentum distributions presents characteristics which are similar to the case of single component bosons experiencing a similar quench. Our results are derived using a product representation for the correlation functions which, in addition to analytical considerations, can be implemented numerically very easily with complexity which scales polynomially in the number of particles.

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。

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