Nonequilibrium many-body dynamics along a dissipative Hubbard chain: Symmetries and Quantum Monte Carlo simulations
arXiv:cond-mat/0605166 · doi:10.1103/PhysRevB.74.165105
Abstract
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.
arXiv comment13 pages, 9 figures submitted to Phys. Rev. B
References in corpus (11)
- Quantum Communication Through an Unmodulated Spin Chain
- Charge-qubit operation of an isolated double quantum dot
- Atomic quantum dots coupled to BEC reservoirs
- Low-temperature dynamical simulation of spin-boson systems
- Path-integral Monte-Carlo simulations for electronic dynamics on molecular chains: I. Sequential hopping and super exchange
- Path-integral Monte-Carlo simulations for electronic dynamics on molecular chains: II. Transport across impurities
- Quantum Monte Carlo and exact diagonalization study of a dynamic Hubbard model
- Coherent charge transport through molecular wires: influence of strong Coulomb repulsion
- Non-Equilibrium Dynamics of Correlated Electron Transfer in Molecular Chains
- Electron Transfer in Donor-Acceptor Systems: Many-Particle Effects and Influence of Electronic Correlations
- Real-time Monte-Carlo simulations for dissipative tight-binding systems and time local master equations