time-dependent real-space renormalization group method

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 quant...

A Real-Space Discrete Inverse Renormalization Group Method.

A numerical version of a real-space of the Inverse Renormalization Group (IRG) proposed in [1] is developed. It has been tested to obtain the scaling behavior of the random-forced heat equation in the short scales limit. Prospectives are described, and the most important target for the procedure is fully developed turbulence.

A nonperturbative Real-Space Renormalization Group scheme

Based on the original idea of the density matrix renormalization group (DMRG) [1], i.e. to include the missing boundary conditions between adjacent blocks of the blocked quantum system, we present a rigorous and nonperturbative mathematical formulation for the realspace renormalization group (RG) idea invented by L.P. Kadanoff [2] and further developed by K.G. Wilson [3]. This is achieved by us...

Random Geometries and Real Space Renormalization Group

A method of " blocking " triangulations that rests on the self-similarity feature of dynamically triangulated random manifolds is proposed and used to define the renormalization group for random geometries. As an illustration, the idea is applied to pure euclidean quantum gravity in 2d. Generalization to more complicated systems and to higher dimensionalities of space-time appears straightforwa...

An introduction to real-time renormalization group

Real-time dynamics in spin-1/2 chains with adaptive time-dependent density matrix renormalization group.

We investigate the influence of different interaction strengths and dimerizations on the magnetization transport in antiferromagnetic spin 1/2 XXZ chains. We focus on the real-time evolution of the inhomogeneous initial state |upward arrow... upward arrow downward arrow... downward arrow > in using the adaptive time-dependent density-matrix renormalization group (adaptive t-DMRG). Time scales a...