A volume-uniform spectral-overlap bound with exponentially decaying cutoff remainder is proven for energy-truncated Hamiltonians in finite-range quantum spin systems, extending prior effective-Hamiltonian results to the thermodynamic limit via GNS representation.
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Volume-Independent Spectral Stability of Energy-Truncated Effective Hamiltonians in Quantum Spin Systems
A volume-uniform spectral-overlap bound with exponentially decaying cutoff remainder is proven for energy-truncated Hamiltonians in finite-range quantum spin systems, extending prior effective-Hamiltonian results to the thermodynamic limit via GNS representation.