Evaluation of ground state entanglement in spin systems with the random phase approximation

dc.creatorMatera, Juan Mauricio
dc.creatorRossignoli, Raúl Dante
dc.creatorCanosa, Norma Beatriz
dc.date2010
dc.date2023-06-12T14:35:36Z
dc.date.accessioned2023-07-15T10:49:09Z
dc.date.available2023-07-15T10:49:09Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/154212
dc.identifierissn:1050-2947
dc.identifierissn:1094-1622
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7493311
dc.descriptionWe discuss a general treatment based on the mean field plus random phase approximation (RPA) for the evaluation of subsystem entropies and negativities in ground states of spin systems. The approach leads to a tractable general method, becoming straightforward in translationally invariant arrays. The method is examined in arrays of arbitrary spin with XY Z couplings of general range in a uniform transverse field, where the RPA around both the normal and parity breaking mean field state, together with parity restoration effects, are discussed in detail. In the case of a uniformly connected XY Z array of arbitrary size, the method is shown to provide simple analytic expressions for the entanglement entropy of any global bipartition, as well as for the negativity between any two subsystems, which become exact for large spin. The limit case of a spin s pair is also discussed.
dc.descriptionQuantum Information Research Group
dc.descriptionInstituto de Física La Plata
dc.formatapplication/pdf
dc.languagees
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectFísica
dc.subjectEntanglement measures
dc.subjectEntanglement and quantum nonlocality
dc.subjectQuantized spin models
dc.titleEvaluation of ground state entanglement in spin systems with the random phase approximation
dc.typeArticulo
dc.typePreprint


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