Physics – Quantum Physics
Scientific paper
2011-02-07
Physics
Quantum Physics
As accepted to PRL. Main text: 4 pages, 4 (PDF) figures; Supplementary material: 4 pages, 6 PDF figures; revtex4-1
Scientific paper
The numerical renormalization group (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian. This allows to systematically improve the spectrum obtained by NRG through sweeping. The ensuing algorithm has a lot of similarities to the density matrix renormalization group (DMRG) when targeting many states, and this synergy of NRG and DMRG combines the best of both worlds and extends their applicability. We illustrate this approach with simulations of a quantum spin chain and a single impurity Anderson model (SIAM) where the accuracy of the effective eigenstates is greatly enhanced as compared to the NRG, especially in the transition to the continuum limit.
Pizorn Iztok
Verstraete Frank
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