RT Journal Article
T1 Divide and conquer method for proving gaps of frustration free Hamiltonians
A1 Kastoryano, Michael J.
A1 Lucia, Angelo
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 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.
PB IOP Publishing
SN 1742-5468
YR 2018
FD 2018
LK https://hdl.handle.net/20.500.14352/93629
UL https://hdl.handle.net/20.500.14352/93629
LA eng
NO Kastoryano M J and Lucia A 2018 Divide and conquer method for proving gaps of frustration free Hamiltonians J. Stat. Mech. 2018 033105
DS Docta Complutense
RD 19 abr 2025