A generalized perspective on non-perturbative linked cluster expansions

Abstract

We identify a fundamental challenge for non-perturbative linked cluster expansions (NLCEs) resulting from the reduced symmetry on graphs, most importantly the breaking of translational symmetry, when targeting the properties of excited states. A generalized notion of cluster additivity is introduced, which is used to formulate an optimized scheme of graph-based continuous unitary transformations (gCUTs) allowing to solve and to physically understand this fundamental challenge. Most importantly, it demands to go beyond the paradigm of using the exact eigenvectors on graphs.

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Cited by in corpus (15)

• Scattering particles in quantum spin chains
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Optimizing linked cluster expansions by white graphs
• Numerical linked cluster expansions for quantum quenches in one dimensional lattices
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Pressure dependence of the magnetization plateaus of SrCu_2(BO_3)_2
• Non-perturbative linked-cluster expansions for the trimerized ground state of the spin-one Kagome Heisenberg model
• Projective cluster-additive transformation for quantum lattice models
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Non-perturbative linked-cluster expansions in long-range ordered quantum systems
• Linked Cluster Expansions via Hypergraph Decompositions
• Entanglement Continuous Unitary Transformations
• Extracting critical exponents for sequences of numerical data via series extrapolation techniques
• Quantum algorithm for one-quasiparticle excitations in the thermodynamic limit via cluster-additive block diagonalization
• Extracting quantum-critical properties from directly evaluated enhanced perturbative continuous unitary transformations