%0 Journal Article
%A Kastoryano, Michael J.
%A Lucia, Angelo
%T Divide and conquer method for proving gaps of frustration free Hamiltonians
%D 2018
%@ 1742-5468
%U https://hdl.handle.net/20.500.14352/93629
%X Providing system-size independent lower bounds on the spectral gap of local Hamiltonian is in general a hard problem. For the case of finite-range, frustration free Hamiltonians on a spin lattice of arbitrary dimension, we show that a property of the ground state space is sufficient to obtain such a bound. We furthermore show that such a condition is necessary and equivalent to a constant spectral gap.
%~