TY - JOUR
T1 - Superdiffusion in spin chains
AU - Bulchandani, Vir B.
AU - Gopalakrishnan, Sarang
AU - Ilievski, Enej
N1 - Funding Information:
We are indebted to Utkarsh Agrawal, Vincenzo Alba, Sounak Biswas, Xiangyu Cao, Jacopo De Nardis, Benjamin Doyon, Michele Fava, Aaron Friedman, Oleksandr Gamayun, Paolo Glorioso, David Huse, Christoph Karrasch, Vedika Khemani, Michael Knap, Robert Konik, Žiga Krajnik, Javier Lopez-Piqueres, Marko Ljubotina, Marko Medenjak, Yuan Miao, Joel Moore, Vadim Oganesyan, Sid Parameswaran, Tomaž Prosen, Tibor Rakovszky, Marcos Rigol, Subir Sachdev, Shivaji Sondhi, Herbert Spohn, Vipin Varma, Romain Vasseur, Curt Von Keyserlingk, Brayden Ware, Marko Žnidarič, and many others for helpful discussions and collaborations on the topics addressed here. S G acknowledges support from NSF DMR-1653271, and E I is supported by the program P1-0402 of Slovenian Research Agency.
Publisher Copyright:
© 2021 IOP Publishing Ltd and SISSA Medialab srl.
PY - 2021/8
Y1 - 2021/8
N2 - 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.
AB - 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.
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U2 - 10.1088/1742-5468/ac12c7
DO - 10.1088/1742-5468/ac12c7
M3 - Article
AN - SCOPUS:85114386945
SN - 1742-5468
VL - 2021
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
IS - 8
M1 - 084001
ER -