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      Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids

      1 , 2 , 3
      SciPost Physics
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          Abstract

          The light-cone spreading of entanglement and correlation is a fundamental and ubiquitous feature of homogeneous extended quantum systems. Here we point out that a class of inhomogenous Luttinger liquids (those with a uniform Luttinger parameter K ) at low energy display the universal phenomenon of curved light cones: gapless excitations propagate along the null geodesics of the metric ds^2 = dx^2 - v(x)^2 dt^2 , with v(x) being the calculable spatial dependent velocity induced by the inhomogeneity. We confirm our findings with explicit analytic and numerical calculations both in- and out-of-equilibrium for a Tonks-Girardeau gas in a harmonic potential and in lattice systems with artificially tuned hamiltonian density.

          Most cited references78

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          'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas

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            The Evaluation of the Collision Matrix

            G. C. Wick (1950)
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              The conformal field theory of orbifolds

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                Author and article information

                Journal
                SciPost Physics
                SciPost Phys.
                Stichting SciPost
                2542-4653
                2017
                September 06 2017
                : 3
                : 3
                Affiliations
                [1 ]Université de Lorraine
                [2 ]Claude Bernard University Lyon 1
                [3 ]National Institute of Nuclear Physics (at SISSA)
                Article
                10.21468/SciPostPhys.3.3.019
                c159a718-eede-4190-a450-a082191a7614
                © 2017

                This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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