论文标题
Anyon Tonks-Girardeau气体的淬灭动态
Quench Dynamics of Anyon Tonks-Girardeau Gases
论文作者
论文摘要
我们使用精确的Anyon-Fermion映射方法研究了限制在弱谐波陷阱中的强烈相互作用的动态演变。对于不同的统计参数，获得了密度曲线，动量分布和降低的一体密度矩阵。无论进化过程中，Anyons的密度曲线都显示出相同的行为。随着谐波陷阱突然关闭，动量分布在长期演变中表现出类似于对称的费米样行为。随着陷阱频率的淬火，动量分布在进化过程中表现出不对称的呼吸模式。降低的一体密度矩阵显示了动态对称性损坏和再现的行为。
We investigate the dynamical evolution of strongly interacting anyons confined in a weak harmonic trap using the exact anyon-fermion mapping method. The density profiles, momentum distribution, and the reduced one-body density matrix are obtained for different statistical parameters. The density profiles of anyons display the same behaviors irrespective of statistical parameter during the evolution. As the harmonic trap is turned off suddenly, the momentum distributions exhibit the symmetric fermion-like behaviour in the long time evolution. As the trap frequency is quenched, the momentum distribution exhibit an asymmetry breath mode during the evolution. The reduced one-body density matrix show the dynamical symmetry broken and reproduced behaviour.
