Operator space entanglement entropy in transverse Ising chain

dc.creatorProsen, Tomaz
dc.creatorPizorn, Iztok
dc.date2007-06-17
dc.date2007-08-06
dc.date.accessioned2026-07-07T12:48:17Z
dc.date.available2026-07-07T12:48:17Z
dc.descriptionThe efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entanglement in the space of operators and show, for transverse Ising spin 1/2 chain, that the simulation of observables, contrary to simulation of typical pure quantum states, is efficient for initial local operators. For initial operators with a finite index in Majorana representation, the operator space entanglement entropy saturates with time to a level which is calculated analytically, while for initial operators with infinite index the growth of operator space entanglement entropy is shown to be logarithmic.
dc.description5 pages, 2 figures (2 eps), RevTex, accepted to PRA
dc.identifierhttps://arxiv.org/abs/0706.2480
dc.identifierhttp://arxiv.org/abs/0706.2480
dc.identifierPhys. Rev. A 76, 032316 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.032316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222002
dc.subjectQuantum Physics
dc.titleOperator space entanglement entropy in transverse Ising chain
dc.typetext

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