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arXiv:quant-ph/0006074

Adiabatic approximation from a renormalization group inspired method

Carlos Contreras, J. C. Retamal, Lautaro Vergara

Published Jun 15, 2000• 1 citation
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Abstract

We show how a method inspired in renormalization group techniques can be useful for deriving Hamiltonians in the adiabatic approximation in a systematic way.
DOI
10.48550/arxiv.quant-ph/0006074

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The COntractor REnormalization group (CORE) approximation, a new method for solving Hamiltonian lattice systems, is introduced. The approach combines variational and contraction techniques with the real-space renormalization group approach and is systematically improvable. Since it applies to lattice systems of infinite extent, the method is suitable for studying critical phenomena and phase structure; systems with dynamical fermions can also be treated. The method is tested using the 1+1-dimensional Ising model.