Inhomogeneous quenches and arctic curves in fermionic systems
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| Description: |
Viti, J (Max-Planck-Institut für Physik komplexer Systeme, Dresden)
Wednesday 13th January 2016 - 16:30 to 17:30 |
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| Created: | 2016-01-25 15:40 |
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| Collection: | Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium |
| Publisher: | Isaac Newton Institute |
| Copyright: | Viti, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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 |
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