Optimal non-linear passage through a quantum critical point

dc.creatorBarankov, Roman
dc.creatorPolkovnikov, Anatoli
dc.date2008-04-17
dc.date.accessioned2026-07-07T09:56:36Z
dc.date.available2026-07-07T09:56:36Z
dc.descriptionWe analyze the problem of optimal adiabatic passage through a quantum critical point. We show that to minimize the number of defects the tuning parameter should be changed as a power-law in time. The optimal power is proportional to the logarithm of the total passage time multiplied by universal critical exponents characterizing the phase transition. We support our results by the general scaling analysis and by explicit calculations for the transverse field Ising model.
dc.description4+ pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0804.2894
dc.identifierhttp://arxiv.org/abs/0804.2894
dc.identifierPhys. Rev. Lett. 101, 076801 (2008)
dc.identifierdoi:10.1103/PhysRevLett.101.076801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167032
dc.subjectOther Condensed Matter
dc.titleOptimal non-linear passage through a quantum critical point
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