J1-2208 — Annual report 2009
1.
Tomaž Prosen and Marko Žnidarič, Matrix product simulation of non-equilibrium steady states of quantum spin chains

Time dependent density matrix renormalization group method with matrix product ansatz has been employed for explicit computation of non-equilibrium steady state density operators of several integrable and non-integrable quantum chains, which are driven far from equlibrium by means of Markovian couplings to external baths at the two ends. Our results are demonstrated by performing explicit simulations of steady states and calculations of energy/spin densities/currents in several problems of heat and spin transport in quantum spin chains with up to 100 spins.

COBISS.SI-ID: 2150756
2.
Martin Horvat, Tomaž Prosen and Giulio Casati, Exactly solvable model of a highly efficient thermoelectric engine

We propose a simple classical dynamical model of a thermoelectric (or thermochemical) heat engine based on a pair of ideal gas containers connected by two unequal scattering channels. The model is solved analytically and it is shown that a suitable combination of parameters can be chosen such that the engine operates at Carnot’s efficiency.

COBISS.SI-ID: 2179684