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1
Intro
2
Classical Spin Systems
3
Non Equivalent Dynamics
4
Classical Heisenberg Chain
5
Model Introduction
6
Dynamics
7
Hybrid Names
8
Summary
9
Where does it come from
10
Longlived Solitons
11
integrable perturbation
12
conserved numbers of charges
13
classical studies
14
comparison
15
Solitons
16
Momentum
17
Moving Solids
18
Stationary Solids
19
Interpolating Hamiltonian
20
Single Soliton
21
Two Particle Solutions
22
Conclusion
23
References
24
Questions
25
Equilibrium Properties
26
Time Scales
27
Infinite Time
28
Ishimori to ferromagnet
29
Second nearest neighbor ferromagnet
30
KPZ exponents
31
Solution phase shift
Description:
Explore the fascinating world of classical spin systems in this 35-minute lecture on the classical Heisenberg chain. Delve into the recently discovered KPZ scaling and its connection to long-lived solitons. Examine the relationship between the non-integrable Heisenberg chain and the integrable Ishimori chain through an interpolating model. Discover the construction of stable stationary solitons and moving soliton solutions in the Heisenberg chain. Investigate the existence regions of single soliton solutions and the renormalization of their properties compared to Ishimori counterparts. Study two-soliton scattering in the Heisenberg chain and observe their survival through multiple scattering events. Learn about the presence of these solitons in thermal states and their implications for the system's dynamics. Gain insights into equilibrium properties, time scales, and KPZ exponents, while exploring the connections between various classical spin systems.

From KPZ Scaling to Long-Lived Solitons in the Classical Heisenberg Chain

PCS Institute for Basic Science
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