TY - JOUR
T1 - Diffusive hydrodynamics from integrability breaking
AU - Friedman, Aaron J.
AU - Gopalakrishnan, Sarang
AU - Vasseur, Romain
N1 - Funding Information:
Acknowledgments. The authors thank P. Dumitrescu, V. Oganesyan, and especially, V, Bulchandani for useful discussions. This work was supported by the National Science Foundation under NSF Grant No. DMR-1653271 (S.G.), the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Early Career Award No. DE-SC0019168 (R.V.), and the Alfred P. Sloan Foundation through a Sloan Research Fellowship (R.V.).
Publisher Copyright:
© 2020 American Physical Society. ©2020 American Physical Society.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - We describe the crossover from generalized to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically, in general. When integrability is broken, only a few of these conserved quantities survive. The remaining conserved quantities are generically transported diffusively; we derive a compact and general diffusion equation for these. The diffusion constant depends on the matrix elements of the integrability-breaking perturbation; for a certain class of integrability-breaking perturbations, including long-range interactions, the diffusion constant can be expressed entirely in terms of generalized hydrodynamic data.
AB - We describe the crossover from generalized to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically, in general. When integrability is broken, only a few of these conserved quantities survive. The remaining conserved quantities are generically transported diffusively; we derive a compact and general diffusion equation for these. The diffusion constant depends on the matrix elements of the integrability-breaking perturbation; for a certain class of integrability-breaking perturbations, including long-range interactions, the diffusion constant can be expressed entirely in terms of generalized hydrodynamic data.
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U2 - 10.1103/PhysRevB.101.180302
DO - 10.1103/PhysRevB.101.180302
M3 - Article
AN - SCOPUS:85085528731
VL - 101
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 18
M1 - 180302
ER -