Superdiffusion in spin chains
Superdiffusion in spin chains
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DOI：
10.1088/1742-5468/ac12c7
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发表时间：
2021-08-01
影响因子：
2.4
通讯作者：
Ilievski, Enej
中科院分区：
文献类型：
--
作者：
Bulchandani, Vir B.;Gopalakrishnan, Sarang;Ilievski, Enej
本文综述了最近的进展，我们的理解自旋链中的反常输运，通过可积性的透镜。基于张量网络方法的数值进展表明，许多正则可积自旋链（最著名的是海森堡模型）中的输运是反常的。同时，广义流体力学的框架已被扩展到解释一些机制的异常传输。我们目前了解这些机制，并讨论它们如何类似（和不同）的机制，在其他情况下的异常运输。我们还简要回顾了潜在的传输异常系统的可积性是一个紧急或近似的属性。我们调查的异常运输和动力学的情况下，仍有待了解。
This review summarizes recent advances in our understanding of anomalous transport in spin chains, viewed through the lens of integrability. Numerical advances, based on tensor-network methods, have shown that transport in many canonical integrable spin chains-most famously the Heisenberg model-is anomalous. Concurrently, the framework of generalized hydrodynamics has been extended to explain some of the mechanisms underlying anomalous transport. We present what is currently understood about these mechanisms, and discuss how they resemble (and differ from) the mechanisms for anomalous transport in other contexts. We also briefly review potential transport anomalies in systems where integrability is an emergent or approximate property. We survey instances of anomalous transport and dynamics that remain to be understood.