Experimental verification of generalized eigenstate thermalization hypothesis in an integrable system. [PDF]
Identifying the general mechanics behind the equilibration of a complex isolated quantum system towards a state described by only a few parameters has been the focus of attention in non-equilibrium thermodynamics.
Wang QQ+10 more
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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.
europepmc +3 more sources
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
semanticscholar +1 more source
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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Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups [PDF]
In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix for this family of bi-Hamiltonian structures, we obtain an explicit process for ...
Ghorbanali Haghighatdoost+2 more
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On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]
Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian+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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In this paper, the non-local reverse space−time fifth-order non-linear Schrödinger(NLS) equation has been investigated, which is proposed by the non-local reduction of Ablowitz–Kaup–Newell–Segur (AKNS) scattering problems.
Xinrui Shi+3 more
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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
semanticscholar +1 more source