RT Journal Article
T1 Frustration Free Gapless Hamiltonians for Matrix Product States
A1 Fernández González, C.
A1 Schuch, N.
A1 Wolf, M.M.
A1 Cirac, J.I.
A1 Pérez García, David
AB For every Matrix Product State (MPS) one can always construct a so-called parent Hamiltonian. This is a local, frustration free, Hamiltonian which has the MPS as ground state and is gapped. Whenever that parent Hamiltonian has a degenerate ground state space (the so-called non-injective case), we construct another ’uncle’ Hamiltonian which is also local and frustration free, has the same ground state space, but is gapless, and its spectrum is R +. The construction is obtained by linearly perturbing the matrices building up the state in a random direction, and then taking the limit where the perturbation goes to zero. For MPS where the parent Hamiltonian has a unique ground state (the so-called injective case) we also build such uncle Hamiltonian with the same properties in the thermodynamic limit.
PB Springer
SN 0010-3616
YR 2015
FD 2015-01
LK https://hdl.handle.net/20.500.14352/33778
UL https://hdl.handle.net/20.500.14352/33778
LA eng
NO Comunidad de Madrid
NO Ministerio de Ciencia e Innovación (MICINN)
NO European CHIST-ERA
NO Unión Europea. FP7
NO NSF
NO ARO
DS Docta Complutense
RD 6 abr 2025