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Quantum butterfly effect in polarized Floquet systems

机译:极化浮球系统中的量子蝴蝶效应

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We explore quantum dynamics in Floquet many-body systems with local conservation laws in one spatial dimension, focusing on sectors of the Hilbert space which are highly polarized. We numerically compare the predicted charge diffusion constants and quantum butterfly velocity of operator growth between models of chaotic Floquet dynamics (with discrete spacetime translation invariance) and random unitary circuits which vary both in space and time. We find that for small but nonzero density of charge (in the thermodynamic limit), the random unitary circuit correctly predicts the scaling of the butterfly velocity but incorrectly predicts the scaling of the diffusion constant. We argue that this is a consequence of quantum coherence on short time scales. Our work clarifies the settings in which random unitary circuits provide correct physical predictions for nonrandom chaotic systems and sheds light into the origin of the slow down of the butterfly effect in highly polarized systems or at low temperature.
机译:我们在一个空间维度上研究具有局部守恒定律的Floquet多体系统中的量子动力学,重点关注高度极化的希尔伯特空间的各个部分。我们在数值上比较了混沌Floquet动力学模型(具有离散时空平移不变性)和时空变化的随机unit电路之间的预测电荷扩散常数和算子生长的量子蝴蝶速度。我们发现,对于较小但非零的电荷密度(在热力学极限内),随机unit回路可正确预测蝶形速度的缩放比例,但会错误地预测扩散常数的缩放比例。我们认为这是短时间尺度上量子相干的结果。我们的工作阐明了以下设置:随机unit电路可为非随机混沌系统提供正确的物理预测,并为高极化系统或低温下的蝴蝶效应变慢的起因提供参考。

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  • 来源
    《Physical review》 |2020年第6期|064307.1-064307.12|共12页
  • 作者单位

    Department of Physics and Center for Theory of Quantum Matter University of Colorado Boulder Colorado 80309 USA Department of Physics Boston College Chestnut Hill Massachusetts 02467 USA;

    Department of Physics and Center for Theory of Quantum Matter University of Colorado Boulder Colorado 80309 USA;

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