2 papers
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…
quant-ph2025
Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
Donghoon Kim, Yusuke Kimura, Hugo Mackay +6
How the detailed structure of quantum complexity emerges from quantum dynamics remains a fundamental challenge highlighted by advances in quantum simulators and information process…