arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2010.03498cond-mat.dis-nncond-mat.softcond-mat.stat-mech
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玻璃中二能级系统动力学的多体局域化特征

Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses

Claudia Artiaco, Federico Balducci, Antonello Scardicchio

摘要:

我们研究了低温(1 K及以下)下玻璃中二能级系统(TLS)的量子动力学。我们研究了耦合到声子的TLS系综。通过在Gorini-Kossakowski-Sudarshan-Lindblad(GKSL)主方程的框架内积分出声子,我们解析地导出了TLS之间的相互作用和耗散项的显式形式。我们发现系统的幺正动力学具有明显的多体局域化物理特征。我们数值研究的时间行为的并发,这措施成对纠缠也在非孤立系,并表明,它提出了一个幂律衰减的情况下,并在存在的耗散,如果后者不是太大。这些功能可以归因于强大的,长尾的混乱特征的模型参数的分布。我们的研究结果表明,在讨论TLS物理学时假设遍历性可能不适用于各种低温玻璃实验。

英文摘要:

We investigate the quantum dynamics of Two-Level Systems (TLS) in glasses at low temperatures (1 K and below). We study an ensemble of TLSs coupled to phonons. By integrating out the phonons within the framework of the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation, we derive analytically the explicit form of the interactions among TLSs, and of the dissipation terms. We find that the unitary dynamics of the system shows clear signatures of Many-Body Localization physics. We study numerically the time behavior of the concurrence, which measures pairwise entanglement also in non-isolated systems, and show that it presents a power-law decay both in the absence and in the presence of dissipation, if the latter is not too large. These features can be ascribed to the strong, long-tailed disorder characterizing the distributions of the model parameters. Our findings show that assuming ergodicity when discussing TLS physics might not be justified for all kinds of experiments on low-temperature glasses.

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