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Título:
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Frustration Free Gapless Hamiltonians for Matrix Product States
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Autores:
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Fernández González, C. ;
Schuch, N. ;
Wolf, M.M. ;
Cirac, J.I. ;
Pérez García, David
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2015-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física matemática
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Materia = Ciencias: Física: Teoría de los quanta
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Tipo = Artículo
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/id/eprint/28340/1/PerezGarcia105.pdf
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