Frustration free gapless Hamiltonians for Matrix Product States

Fernandez-Gonzalez, C., Schuch, N., Wolf, M. M., Cirac, J. I. y Perez-Garca, D. . (2015) Frustration free gapless Hamiltonians for Matrix Product States.

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Título Frustration free gapless Hamiltonians for Matrix Product States
Autor(es) Fernandez-Gonzalez, C.
Schuch, N.
Wolf, M. M.
Cirac, J. I.
Perez-Garca, D.
Materia(s) Física
Abstract 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 s
Editor(es) Springer (de la versión publicada)
Fecha 2015-01-01
Formato application/pdf
Cobertura 36
Identificador bibliuned:DptoFI-FCIE-Articulos-Cfernandez
http://e-spacio.uned.es/fez/view/bibliuned:DptoFI-FCIE-Articulos-Cfernandez
Idioma eng
Versión de la publicación acceptedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales Versión pre-pint

 
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Creado: Thu, 15 Sep 2016, 23:40:45 CET