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Frustration free gapless Hamiltonians for Matrix Product States

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dc.contributor.authorSchuch, N.
dc.contributor.authorWolf, M. M.
dc.contributor.authorCirac, J. I.
dc.contributor.authorPérez García, David
dc.contributor.authorFernández González, Carlos
dc.date.accessioned2024-05-20T11:28:24Z
dc.date.available2024-05-20T11:28:24Z
dc.date.issued2015-01-01
dc.description.abstractFor 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 sen
dc.description.versionversión final
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12061
dc.language.isoen
dc.publisherSpringer (de la versión publicada)
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Interdisciplinar
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.titleFrustration free gapless Hamiltonians for Matrix Product Stateses
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublicationb2a8f728-8fff-4e77-96ef-5b34a457b7b4
relation.isAuthorOfPublication.latestForDiscoveryb2a8f728-8fff-4e77-96ef-5b34a457b7b4
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