Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas

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dc.creatorBettelheim, E.
dc.creatorAbanov, A. G.
dc.creatorWiegmann, P.
dc.date2006-07-18
dc.date2006-08-21
dc.date.accessioned2026-07-07T07:35:14Z
dc.date.available2026-07-07T07:35:14Z
dc.descriptionA semiclassical wave-packet propagating in a dissipationless Fermi gas inevitably enters a "gradient catastrophe" regime, where an initially smooth front develops large gradients and undergoes a dramatic shock wave phenomenon. The non-linear effects in electronic transport are due to the curvature of the electronic spectrum at the Fermi surface. They can be probed by a sudden switching of a local potential. In equilibrium, this process produces a large number of particle-hole pairs, a phenomenon closely related to the Orthogonality Catastrophe. We study a generalization of this phenomenon to the non-equilibrium regime and show how the Orthogonality Catastrophe cures the Gradient Catastrophe, providing a dispersive regularization mechanism. We show that a wave packet overturns and collapses into modulated oscillations with the wave vector determined by the height of the initial wave. The oscillations occupy a growing region extending forward with velocity proportional to the initial height of the packet. We derive a fundamental equation for the transition rates (MKP-equation) and solve it by means of the Whitham modulation theory.
dc.description5 pages, 1 figure, revtex4, prl
dc.identifierhttps://arxiv.org/abs/cond-mat/0607453
dc.identifierhttp://arxiv.org/abs/cond-mat/0607453
dc.identifierPhys. Rev. Lett. 97, 246402 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.246402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120025
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleOrthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
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