Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-05-06
Phys. Rev. B 74, 165105 (2007)
Physics
Condensed Matter
Statistical Mechanics
13 pages, 9 figures submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.74.165105
The nonequilibrium dynamics of correlated charge transfer along a one-dimensional chain in presence of a phonon environment is investigated within a dissipative Hubbard model. For this generalization of the ubiquitous spin-boson model the crucial role of symmetries is analysed in detail and corresponding invariant subspaces are identified. It is shown that the time evolution typically occurs in each of the disjunct subspaces independently leading e.g. asymptotically to a non-Boltzmann equilibrium state. Based on these findings explicit results are obtained for two interacting electrons by means of a substantially improved real-time quantum Monte Carlo approach. In the incoherent regime an appropriate mapping of the many-body dynamics onto an isomorphic single particle motion allows for an approximate description of the numerical data in terms of rate equations. These results may lead to new control schemes of charge transport in tailored quantum systems as e.g. molecular chains or quantum dot arrays.
Ankerhold Joachim
Muehlbacher Lothar
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