One-dimensional lattice gases and matrix-product states
One-dimensional lattice gases and matrix-product states
![](./mpPhase.gif)
One-dimensional lattice gases and matrix-product states
Matrix-product states have recently turned out to be very useful
for obtaining exact results on one-dimensional off-equilibrium lattice
models. We are interested in applying this method to a broad
range of models as well as in possible interrelations with other fields
such as integrable models and the density-matrix renormalization
group technique.
Concrete results have been obtained mainly for one model, namely
the hopping motion of classical particles on a chain coupled to
reservoirs at both ends with parallel dyanmics. It has turned out
that there is a general relation of the parallel
matrix-product algebra to that of the sequential limit. This can
be used to generalize known results for sequential dynamics
to the parallel case. In this manner we find the general phase diagram
shown above.
This motion of classical particles can be mapped to a
probably integrable asymmetric six-vertex model with boundaries.
If you would like to know more, take a look at our
paper.
A supplementary program can be found
here.
July, 29th, 1996
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