TY - JOUR
T1 - Superdiffusion from Emergent Classical Solitons in Quantum Spin Chains
AU - De Nardis, Jacopo
AU - Gopalakrishnan, Sarang
AU - Ilievski, Enej
AU - Vasseur, Romain
N1 - Funding Information:
We are very grateful and indebted to Benjamin Doyon, Takato Yoshimura, Tomohiro Sasamoto for inspiring discussions on the semiclassical TBA equations and collaboration on the KPZ problem in the XXX chain; to Marko Medenjak and Brayden Ware for collaborations on closely related topics; to Utkarsh Agrawal for early collaboration on the numerical solutions to the TBA equations of the Heisenberg chain; and to Vir Bulchandani for numerous stimulating discussions. We thank the International Centre for Theoretical Sciences (ICTS) and the program “Thermalization, Many body localization and Hydrodynamics” (Code: ICTS/hydrodynamics2019/11) where this project was initiated. The MPS-based t-DMRG simulations were performed using the ITensor Library . This work was supported by the National Science Foundation under NSF Grant No. DMR-1653271 (S. G.), the US Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award No. DE-SC0019168 (R. V.), the Alfred P. Sloan Foundation through a Sloan Research Fellowship (R. V.), the Research Foundation Flanders (FWO, J. D. N.), and the Slovenian Research Agency (ARRS) Program No. P1-0402 (E. I.).
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/8/14
Y1 - 2020/8/14
N2 - Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics; the results agree well with density-matrix renormalization group simulations. We establish a rigorous quantum-classical correspondence between the "giant quasiparticles"that govern superdiffusion and solitons in the classical continuous Landau-Lifshitz ferromagnet. We conclude that KPZ universality has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.
AB - Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics; the results agree well with density-matrix renormalization group simulations. We establish a rigorous quantum-classical correspondence between the "giant quasiparticles"that govern superdiffusion and solitons in the classical continuous Landau-Lifshitz ferromagnet. We conclude that KPZ universality has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.
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U2 - 10.1103/PhysRevLett.125.070601
DO - 10.1103/PhysRevLett.125.070601
M3 - Article
C2 - 32857584
AN - SCOPUS:85090174413
SN - 0031-9007
VL - 125
JO - Physical review letters
JF - Physical review letters
IS - 7
M1 - 070601
ER -