Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T02: Information in Thermodynamics
11:30 AM–2:18 PM,
Thursday, March 9, 2023
Room: Room 125
Sponsoring
Unit:
GSNP
Chair: Marc Serra Garcia, ETH Zurich
Abstract: T02.00012 : Long-Lived Solitons, anomalous dynamics and equilibration in the classical Heisenberg chain*
2:06 PM–2:18 PM
Presenter:
Adam J McRoberts
(Max Planck Institute for the Physics of Complex Systems)
Authors:
Thomas Bilitewski
(Oklahoma State University)
Adam J McRoberts
(Max Planck Institute for the Physics of Complex Systems)
Roderich Moessner
(Max Planck Institute for the Physics of)
Masudul Haque
(Institut für Theoretische Physik, Technische Universität Dresden, Dresden 01062, Germany)
Motivated by this observed KPZ scaling in the classical ferromagnetic Heisenberg chain, we investigate the role of solitonic excitations. We find that the Heisenberg chain, although well-known to be non-integrable, supports a two-parameter family of long-lived solitons. We connect these to the exact soliton solutions of the integrable Ishimori chain with log(1+Si⋅Sj) interactions. We explicitly construct infinitely long-lived stationary solitons, and provide an adiabatic construction procedure for moving soliton solutions, which shows that Ishimori solitons have a long-lived Heisenberg counterpart when they are not too narrow and not too fast-moving. Finally, we demonstrate their presence in thermal states of the Heisenberg chain, even when the typical soliton width is larger than the spin correlation length, and argue that these excitations likely underlie the KPZ scaling.
[1] Phys. Rev. B 105, L100403
[2] arXiv:2207.08866
*This work was in part supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant No. SFB 1143 (project-id 247310070) and the cluster of excellence ct.qmat (EXC 2147, project-id 390858490).
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