Entanglement, quantum phase transitions, and density matrix renormalization

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dc.creatorOsborne, Tobias J.
dc.creatorNielsen, Michael A.
dc.date2001-09-05
dc.date2002-04-02
dc.date.accessioned2026-07-07T06:33:03Z
dc.date.available2026-07-07T06:33:03Z
dc.descriptionWe investigate the role of entanglement in quantum phase transitions, and show that the success of the density matrix renormalization group (DMRG) in understanding such phase transitions is due to the way it preserves entanglement under renormalization. We provide a reinterpretation of the DMRG in terms of the language and tools of quantum information science which allows us to rederive the DMRG in a physically transparent way. Motivated by our reinterpretation we suggest a modification of the DMRG which manifestly takes account of the entanglement in a quantum system. This modified renormalization scheme is shown,in certain special cases, to preserve more entanglement in a quantum system than traditional numerical renormalization methods.
dc.description5 pages, 1 eps figure, revtex4; added reference and qualifying remarks
dc.identifierhttps://arxiv.org/abs/quant-ph/0109024
dc.identifierhttp://arxiv.org/abs/quant-ph/0109024
dc.identifierQuantum Information Processing, vol. 1 (1-2), pp. 45-53 (2002)
dc.identifierdoi:10.1023/A:1019601218492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99068
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.titleEntanglement, quantum phase transitions, and density matrix renormalization
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