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Growth of mutual information in a quenched one-dimensional open quantum many-body system

机译：淬火一维开放量子系统中互信息的生长

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摘要

We study the temporal evolution of the mutual information (MI) in a one-dimensional Kitaev chain, coupled to a fermionic Markovian bath, subsequent to a global quench of the chemical potential. In the unitary case, the MI (or equivalently the bipartite entanglement entropy) saturates to a steady-state value (obeying a volume law) following a ballistic growth. On the contrary, we establish that in the dissipative case the MI is exponentially damped both during the initial ballistic growth as well as in the approach to the steady state. We observe that even in a dissipative system, postquench information propagates solely through entangled pairs of quasiparticles having a finite lifetime; this quasiparticle picture is further corroborated by the out-of-equilibrium analysis of two-point fermionic correlations. Remarkably, in spite of the finite lifetime of the quasiparticles, a finite steady-state value of the MI survives in asymptotic times which is an artifact of nonvanishing two-point correlations. Further, the finite lifetime of quasiparticles renders to a finite length scale in these steady-state correlations.
机译：我们研究了一维考科夫链中的互信息（MI）的时间演变，耦合到Fermionic Markovian浴，随后于化学潜力的全局淬火之后。在整体情况下，MI（或等效地，双链缠结熵）在弹道生长后饱和到稳态值（遵守批量法）。相反，我们在耗散情况下，在初始弹道生长以及稳定状态的方法中，MI均致以指数地阻尼。我们观察到即使在耗散系统中，后轮廓信息也完全通过具有有限寿命的缠结的Quasiply族成对;通过对两点铁饼相关性的平衡分析进一步证实了这种Quasiparticle图片。显着地，尽管Quasiply的有限寿命，但是MI的有限稳态值在渐近时间内存活，这是非衰强双点相关的伪影。此外，在这些稳态相关性中，Quasiply的有限寿命呈现为有限长度尺度。

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  • 来源
    《Physical review》 |2020年第18期|180301.1-180301.5|共5页
  • 作者

    Somnath Maity; Souvik Bandyopadhyay; Sourav Bhattacharjee; Amit Dutta;

  • 作者单位

    Department of Physics Indian Institute of Technology Kanpur Kanpur 208016 India;

    Department of Physics Indian Institute of Technology Kanpur Kanpur 208016 India;

    Department of Physics Indian Institute of Technology Kanpur Kanpur 208016 India;

    Department of Physics Indian Institute of Technology Kanpur Kanpur 208016 India;

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