ENCORE: An Extended Contractor Renormalization algorithm

Abstract

Contractor renormalization (CORE) is a real-space renormalization-group method to derive effective Hamiltionians for microscopic models. The original CORE method is based on a real-space decomposition of the lattice into small blocks and the effective degrees of freedom on the lattice are tensor products of those on the small blocks. We present an extension of the CORE method that overcomes this restriction. Our generalization allows the application of CORE to derive arbitrary effective models whose Hilbert space is not just a tensor product of local degrees of freedom. The method is especially well suited to search for microscopic models to emulate low-energy exotic models and can guide the design of quantum devices.

5 pages, 4 figures

References in corpus (15)

• An RVB phase in the triangular lattice quantum dimer model
• Topologically protected quantum bits from Josephson junction arrays
• Plaquette Boson-Fermion Model of Cuprates
• Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
• CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations
• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• Core -- a New Computational Technique for Lattice Systems
• Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Quantum Phase Transition in a Heisenberg Antiferromagnet on a Square Lattice with Strong Plaquette Interactions
• Mechanisms for Spin-Supersolidity in S=1/2 Spin-Dimer Antiferromagnets
• Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
• Contractor-Renormalization approach to frustrated magnets in magnetic field
• Exploring Contractor Renormalization: Tests on the 2-D Heisenberg Antiferromagnet and Some New Perspectives
• Bootstrap Approximations in Contractor Renormalization

Cited by in corpus (1)

• Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models