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Article Dans Une Revue SciPost Physics Année : 2017

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

Résumé

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 geodesics of the metric $ds^2=dx^2+v(x)^2 d\tau^2$, 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.

Dates et versions

hal-01586759 , version 1 (13-09-2017)

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Citer

Jerome Dubail, Jean-Marie Stéphan, Pasquale Calabrese. Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids. SciPost Physics, 2017, 3 (3), pp.019. ⟨10.21468/SciPostPhys.3.3.019⟩. ⟨hal-01586759⟩
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