====== Efficient thermodynamics for strongly correlated fermions and bosons ======

For integrable systems the ground-state energy and excitations are computable
in principle. Still, the calculation of thermodynamical properties remains a
challenge of its own as all energy levels have to be taken into
account. Traditionally the computation of the partition function of integrable
systems is achieved by means of the so-called thermodynamic Bethe ansatz (TBA)
which is a combinatorial approach typically leading to infinitely many coupled
non-linear integral equations. In previous work we have succeeded to transform
such infinite systems of equations into a new system of finitely many
equations. Our alternative formulation has two essential advantages over the 
TBA aproach. First, the numerical computations are much faster. And second,
our equations have a much wider range of applicability as, for instance, to
the computation of finite temperature correlation lengths and general
nearest-neighbour correlators.

The main objective of this project is to find a systematic way how to derive
such finite systems of non-linear integral equations for all integrable
lattice models and to advance methods for solving them numerically. These
techniques shall be applied to interesting systems like multicomponent Bose or
Fermi gases.