منابع مشابه
Level repulsion in integrable and almost-integrable quantum spin models.
The repartition of the separation between energy levels of various isotropic S=1/2 antiferromagnetic chains is studied numerically with the aim of investigating the transition from integrable to non-integrable systems. We begin by displaying the level separation distribution of the integrable Bethe chain. Then two non-integrable systems, two coupled chains and a next-nearest-neighbor coupled ch...
متن کاملYangian, Truncated Yangian and Quantum Integrable Models
Based on the RTT relation for the given rational R-matrix the Yangian and truncated Yangian are discussed. The former can be used to generate the longrange interaction models, whereas the latter can be related to the GoryachevChaplygin(GC) gyrostat. The trigonometric extension of the Goryachev-Chaplygin gyrostat has also been shown.
متن کاملDiscrete Hirota’s equation in quantum integrable models
The recent progress in revealing classical integrable structures in quantummodels solved by Bethe ansatz is reviewed. Fusion relations for eigenvalues of quantum transfer matrices can be written in the form of classical Hirota’s bilinear difference equation. This equation is also known as the completely discretized version of the 2D Toda lattice. We explain how one obtains the specific quantum ...
متن کاملNonlinear Models in Quantum Optics through Quantum Algebras
with a, b, c being boson operators for three different modes of the radiation field, describes (under certain conditions) nonlinear quantum optical processes as frequency conversion and Raman and Brillouin scattering [1]. Through a Jordan–Schwinger transformation, this model is algebraically equivalent to the resonant interaction of a sample of two-level atoms with a single mode of the quantize...
متن کاملQuantum group symmetry of integrable models on the half-line
We derive the non-local conserved charges in the sine-Gordon model and affine Toda field theories on the half-line. They generate new kinds of symmetry algebras that are coideals of the usual quantum groups. We show how intertwiners of tensor product representations of these algebras lead to solutions of the reflection equation. We describe how this method for finding solutions to the reflectio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2017
ISSN: 2100-014X
DOI: 10.1051/epjconf/201716101013