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Abstract: We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon. Dimer models give rise to relativistic integrable sy...
Abstract: We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and t...
Abstract: We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, f...
We present results establishing a link between unitary relaxation dynamics after a quench in closed manybody systems in non-equilibrium and the entanglement in the energy eigenbasis. We find that even...
2002Vol.38No.2pp.129-132DOI: The Exact Solutions of Some (2+1)-Dimensional Integrable Systems CHEN Chun-Li1 and LI Yi-Shen1,2 1 Department of Physics, Shanghai Jiao Tong...
2005Vol.44No.2pp.193-196DOI: Finite Symmetry Transformation Groups and Exact Solutions of Lax Integrable Systems MA Hong-Cai1,3 and LOU Sen-Yue1,2 1 Physics Department, ...
Self-induced decoherence formalism and the corresponding classical limit are extended from quantum integrable systems to non-integrable ones.
Quantum scattering systems related to the noncompact semisimple Lie groups G in the sense that the Hamiltonian of the system can be written as a function of the Casimir operator of G are considered. T...
Quantum integrable systems related with SU(1, 1) group manifold or hyperboloid [x, x] = x21 + x22 - x23 - x24 = 1 in spherical, hyperbolic and parabolic coordinates systems are considered. The explici...

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