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math-ph2026
Volume-Independent Spectral Stability of Energy-Truncated Effective Hamiltonians in Quantum Spin Systems
Ayumi Ukai
We prove a volume-uniform effective-Hamiltonian theorem for bounded finite-range quantum spin systems on possibly infinite lattices. For any finite target region, we construct an e…
math-ph2024
On Hastings factorization for quantum many-body systems in the infinite volume setting
Ayumi Ukai
We will give self-contained and detailed proofs of the (multidimensional) Hastings factorization as well as a (1-dimensional) area law in a wider setup than previous works. Especia…