论文标题
在眼镜中两级系统动力学中多体定位的签名
Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses
论文作者
论文摘要
我们研究了低温（1 K及以下）在玻璃杯中两级系统（TLS）的量子动力学。我们研究了与声子耦合的TLSS合奏。通过将声子集成在Gorini-Kossakowski-Sudarshan-Lindblad（GKSL）主方程的框架内，我们可以分析TLSS之间的相互作用的显式形式，以及消散项。我们发现系统的统一动力学显示了多体定位物理学的明确签名。我们从数值上研究并发的时间行为，该时间行为在非分离系统中也测量成对的纠缠，并表明它在不存在和存在耗散的情况下呈现幂律衰减，如果后者不太大。这些特征可以归因于表征模型参数分布的强，长尾巴的疾病。我们的发现表明，在讨论TLS物理学时，对于低温玻璃上的各种实验时，可能没有合理的理由。
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.
