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Nonequilibrium spin transport in integrable and non-integrable classical spin chains
Dipankar Roy, Abhishek Dhar, Herbert Spohn +1
Anomalous transport in low dimensional spin chains is an intriguing topic that can offer key insights into the interplay of integrability and symmetry in many-body dynamics. Recent…
Domain wall fluctuations of the six-vertex model at the ice point
Michael Praehofer, Herbert Spohn
We report on Monte-Carlo simulations of the six-vertex model with domain wall boundary conditions. In thermal equilibrium such boundary conditions force a fluctuating line separati…
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer +3
We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed num…
Hydrodynamic scales of integrable many-particle systems
Herbert Spohn
The lecture notes cover the emergence of generalized hydrodynamics for the classical and quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the…
Robustness of Kardar-Parisi-Zhang scaling in a classical integrable spin chain with broken integrability
Dipankar Roy, Abhishek Dhar, Herbert Spohn +1
Recent investigations have observed superdiffusion in integrable classical and quantum spin chains. An intriguing connection between these spin chains and Kardar-Parisi-Zhang (KPZ)…
Hydrodynamic equations for the Ablowitz-Ladik discretization of the nonlinear Schroedinger equation
Herbert Spohn
Ablowitz and Ladik discovered a discretization which preserves the integrability of the nonlinear Schroedinger equation in one dimension. We compute the generalized free energy of…