4,180 research outputs found
Exact solvability in contemporary physics
We review the theory for exactly solving quantum Hamiltonian systems through
the algebraic Bethe ansatz. We also demonstrate how this theory applies to
current studies in Bose-Einstein condensation and metallic grains which are of
nanoscale size.Comment: 23 pages, no figures, to appear in ``Classical and Quantum Nonlinear
Integrable Systems'' ed. A. Kund
On the chemical equilibration of strangeness-exchange reaction in heavy-ion collisions
The strangeness-exchange reaction pi + Y -> K- + N is shown to be the
dynamical origin of chemical equilibration for K- production in heavy-ion
collisions up to beam energies of 10 A GeV. The hyperons occurring in this
process are produced associately with K+ in baryon-baryon and meson-baryon
interactions. This connection is demonstrated by the ratio K-/K+ which does not
vary with centrality and shows a linear correlation with the yield of pions per
participant. At incident energies above AGS this correlation no longer holds
due to the change in the production mechanism of kaons.Comment: 9 pages, 4 figure
Bethe ansatz solution of the anisotropic correlated electron model associated with the Temperley-Lieb algebra
A recently proposed strongly correlated electron system associated with the
Temperley-Lieb algebra is solved by means of the coordinate Bethe ansatz for
periodic and closed boundary conditions.Comment: 21 page
Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry
The nested algebraic Bethe ansatz is presented for the anisotropic
supersymmetric model maintaining quantum supersymmetry. The Bethe ansatz
equations of the model are obtained on a one-dimensional closed lattice and an
expression for the energy is given.Comment: 7 pages (revtex), minor modifications. To appear in Mod. Phys. Lett.
Large Motion Assessment in Soils Under Dynamic Loading
This paper presents the mathematical formulation of the nonlinear multiphase dynamic model meant for porous media, obtained by applying the finite transformation assumption. This assumption is appropriate when large motions take place either during mass wasting processes, such as large slumps and earthflows, or during earthquake events when site liquefaction occurs and results for instance in large irrecoverable settlements or lateral spreads. The weak formulation and numerical implementation of the dynamic model uses the mesh-free h-p clouds method, which is based on the more general Partition of Unity Method. The mesh-free numerical methods seem indeed to be more appropriate for large transformation problems, where geometry may change in an important manner during simulation, as usual mesh constraints no longer exist. The numerical simulations of observed liquefaction-induced lateral spreads, performed with the proposed model are not presented in this paper
Control of tunneling in an atomtronic switching device
The precise control of quantum systems will play a major role in the
realization of atomtronic devices. As in the case of electronic systems, a
desirable property is the ability to implement switching. Here we show how to
implement switching in a model of dipolar bosons confined to three coupled
wells. The model describes interactions between bosons, tunneling of bosons
between adjacent wells, and the effect of an external field. We conduct a study
of the quantum dynamics of the system to probe the conditions under which
switching behavior can occur. The analysis considers both integrable and
non-integrable regimes within the model. Through variation of the external
field, we demonstrate how the system can be controlled between various
switched-on and switched-off configurations.Comment: Revised Communications Physics (open access) version; Major revision:
8 pages, 6 figures; Supplementary material: 2 pages, 5 figure
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