TY - JOUR AU - Kastoryano, Michael J. AU - Lucia, Angelo PY - 2018 DO - 10.1088/1742-5468/aaa793 SN - 1742-5468 UR - https://hdl.handle.net/20.500.14352/93629 T2 - Journal of Statistical Mechanics: Theory and Experiment AB - 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... LA - eng M2 - 033105 PB - IOP Publishing KW - Quantum phase transitions KW - Rigorous results in statistical mechanics KW - Spin chains KW - Ladders and planes TI - Divide and conquer method for proving gaps of frustration free Hamiltonians TY - journal article ER -