Spin diffusion from an inhomogeneous quench in an integrable system. [PDF]
Generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states.
Ljubotina M, Žnidarič M, Prosen T.
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A new two-component integrable system with peakon solutions. [PDF]
A new two-component system with cubic nonlinearity and linear dispersion: mt=bux+12[m(uv−uxvx)]x−12m(uvx−uxv),nt=bvx+12[n(uv−uxvx)]x+12n(uvx−uxv),m=u−uxx,n=v−vxx,where b is an arbitrary real constant, is proposed in this paper.
Xia B, Qiao Z.
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Eigenstate Thermalization in a Locally Perturbed Integrable System. [PDF]
Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 XXZ chain, we show that locally perturbing an ...
Marlon Brenes +3 more
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Statistical Mechanics of an Integrable System [PDF]
We provide here an explicit example of Khinchin’s idea that the validity of equilibrium statistical mechanics in high dimensional systems does not depend on the details of the dynamics, as it is basically a matter of choosing the “proper” observables ...
Marco Baldovin +2 more
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Origin of the enhancement of tunneling probability in the nearly integrable system. [PDF]
The enhancement of tunneling probability in the nearly integrable system is closely examined, focusing on tunneling splittings plotted as a function of the inverse of the Planck's constant.
Y. Hanada, A. Shudo, K. Ikeda
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Exact solution for the quench dynamics of a nested integrable system [PDF]
Integrable models provide an exact description for a wide variety of physical phenomena. For example nested integrable systems contain different species of interacting particles with a rich phenomenology in their collective behavior, which is the origin ...
Márton Mestyán +3 more
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Compression induced folding of a sheet: an integrable system. [PDF]
The apparently intractable shape of a fold in a compressed elastic film lying on a fluid substrate is found to have an exact solution. Such systems buckle at a nonzero wave vector set by the bending stiffness of the film and the weight of the substrate ...
H. Diamant, T. Witten
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Direct regular-to-chaotic tunneling rates using the fictitious-integrable-system approach. [PDF]
We review the fictitious integrable system approach which predicts dynamical tunneling rates from regular states to the chaotic region in systems with a mixed phase space.
A. Bäcker, R. Ketzmerick, S. Löck
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Thermalization in a one-dimensional integrable system [PDF]
We present numerical results demonstrating the possibility of thermalization of single-particle observables in a one-dimensional system, which is integrable in both the quantum and classical (mean-field) descriptions (a quasicondensate of ultracold ...
P. Grisins, I. Mazets
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Bilinearization and soliton solutions of N=1 supersymmetric coupled dispersionless integrable system
An N=1 supersymmetric generalization of coupled dispersionless (SUSY-CD) integrable system has been proposed by writing its superfield Lax representation.
A. Mirza, M. ul Hassan
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