Ground-state fidelity of Luttinger liquids: A wave functional approach

dc.creatorFjaerestad, John Ove
dc.date2007-12-20
dc.date2008-08-18
dc.date.accessioned2026-07-07T09:56:46Z
dc.date.available2026-07-07T09:56:46Z
dc.descriptionWe use a wave functional approach to calculate the fidelity of ground states in the Luttinger liquid universality class of one-dimensional gapless quantum many-body systems. The ground-state wave functionals are discussed using both the Schrodinger (functional differential equation) formulation and a path integral formulation. The fidelity between Luttinger liquids with Luttinger parameters K and K' is found to decay exponentially with system size, and to obey the symmetry F(K,K')=F(1/K,1/K') as a consequence of a duality in the bosonization description of Luttinger liquids.
dc.description13 pages, IOP single-column format. Sec. 3 expanded with discussion of short-distance cut-off. Some typos corrected. Ref. 44 in v2 is now footnote 2 (moved by copy editor). Published version
dc.identifierhttps://arxiv.org/abs/0712.3439
dc.identifierhttp://arxiv.org/abs/0712.3439
dc.identifierJ. Stat. Mech. (2008) P07011
dc.identifierdoi:10.1088/1742-5468/2008/07/P07011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167099
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleGround-state fidelity of Luttinger liquids: A wave functional approach
dc.typetext

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