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Inhomogeneous quenches and arctic curves in fermionic systems

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QIMW01 - Quantum integrable models in and out of equilibrium

Co-authors: Nicola Allegra (Universite de Lorraine), Jerome Dubail (Universite de Lorraine and CNRS ), Masud Haque (MPIPKS), Jean-Marie Stephan (MPIPKS)

In this talk I will consider two fermionic chains at different densities joined together and evolved unitarily. I will present many exact results concerning the large-time limit of correlation functions and the Loschmidt echo. I will show that this type of quench is deeply related, via analytic continuation in imaginary time, to the arctic curve phenomena in statistical mechanics: interfaces separating fluctuating and frozen regions, a celebrated example of which is the arctic circle theorem for dimers on the aztec diamond.

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