Inhomogeneous quenches and arctic curves in fermionic systems

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• Jacopo Viti (Max-Planck-Institut für Physik komplexer Systeme, Dresden)
• Wednesday 13 January 2016, 16:30-17:30
• Seminar Room 1, Newton Institute.

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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.

Related Links

• http://arxiv.org/abs/1507.08132 – paper 1
• http://arxiv.org/abs/1512.02872 – paper 2

This talk is part of the Isaac Newton Institute Seminar Series series.

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