Time-Dependent Real-Space Renormalization Group Method.

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent hamiltonians. we drive the time-dependent recursion relations for the renormalized tight-binding hamiltonian by decimating selective sites of lattice iteratively. the formalism is then used for the calculation of the local density of electronic states for a one dimensional quantum wire with time-dependent random potential. specifically, we study the electronic densities of states of a single and chains of quantum dots connected to two noisy leads.