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Jacopo Viti (Max-Planck-Institut für Physik komplexer Systeme, Dresden)
Wednesday 13 January 2016, 16:30-17:30
Inhomogeneous quenches and arctic curves in fermionic systems
- 👤 Speaker: Jacopo Viti (Max-Planck-Institut für Physik komplexer Systeme, Dresden)
- 📅 Date & Time: Wednesday 13 January 2016, 16:30 - 17:30
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
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
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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