Affleck--Kennedy--Lieb--Tasaki parent Hamiltonian (source code)

= Affleck--Kennedy--Lieb--Tasaki parent Hamiltonian
{c}
{title2=AKLT parent Hamiltonian}

The AKLT parent Hamiltonian is $H=\sum_jP^{(2)}_{j,j+1}$, where $P^{(2)}$ projects two neighboring spin-one particles onto total spin two. It is <frustration-free quantum Hamiltonian>[frustration free], and the periodic AKLT MPS is its unique ground state on a sufficiently long chain.