# Free fermions at the edge of interacting systems

@article{Stephan2019FreeFA, title={Free fermions at the edge of interacting systems}, author={Jean-Marie St'ephan}, journal={SciPost Physics}, year={2019} }

We study the edge behavior of inhomogeneous one-dimensional quantum
systems, such as Lieb-Liniger models in traps or spin chains in
spatially varying fields. For free systems these fall into several
universality classes, the most generic one being governed by the
Tracy-Widom distribution. We investigate in this paper the effect of
interactions. Using semiclassical arguments, we show that since the
density vanishes to leading order, the strong interactions in the bulk
are renormalized to zero at…

## 24 Citations

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The recent results of [J. Dubail, J.-M. Stéphan, J. Viti, P.
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We investigate the non-equilibrium dynamics of a one-dimensional
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