Lower energy bounds for quantum lattice Hamiltonians

2001/10/23 by Dean Lee, Lee, Dean, Nathan Salwen +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0110486

5 pages

openalex publication_date 2001/10/23 · arxiv created 2002/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive general lower energy bounds for the ground state energy of any translationally invariant quantum lattice Hamiltonian. The bounds are given by the ground state energy of renormalized Hamiltonians on finite clusters.

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