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Abstract: We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type - a cluster integrable system. The phase space of the classical system ...
Bound Dimers in Bilayers of Cold Polar Molecules
Bound Dimers Bilayers of Cold Polar Molecules
2011/3/3
The exploration of cold polar molecules in different geometries is a rapidly developing
experimental and theoretical pursuit. Recently, the implementation of optical lattices has enabled confinement ...
Close-packed dimers on the line: diffraction versus dynamical spectrum
Close-packed dimers line diffraction versus dynamical spectrum
2010/11/12
The translation action of $\RR^{d}$ on a translation bounded measure $\omega$ leads to an interesting class of dynamical systems, with a rather rich spectral theory. In general, the diffraction spect...