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| Seminari A.A. 2015-2016 |
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Relatore |
Titolo |
Data |
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Emanuela Laura Giacomelli
Università di Roma "La Sapienza" |
7 Giugno 2016 |
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Valentin Zagrebnov
Université Aix-Marseille |
17 Maggio 2016 |
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Davide Chiuchiù
Università di Perugia |
3 Maggio 2016 |
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Marco Falconi
Università Roma Tre |
26 Aprile 2016 |
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Florian Theil
University of Warwick |
19 Aprile 2016 |
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Spyros Sotiriadis
Università Roma Tre |
12 Aprile 2016 |
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Abstract ritorna |
One of the foundations of statistical physics is that only minimal information is required for the description of
macroscopic systems. Research in quantum one-dimensional integrable systems
out-of-equilibrium has recently revealed relaxation towards a non-thermal statistical ensemble that violates this
principle due to the presence of an infinite number of local integrals of
motion. The information content of this ensemble remains however a riddle. By studying the dynamics after suddenly
switching-off the interactions in an isolated quantum system (a so-called
quantum quench), we will show that the time evolution under a massive Gaussian field theory erases all memory of
non-Gaussian correlations that are present in the initial state, keeping
information only about the initial two-point correlation function. On the other hand, in the massless case in one
spatial dimension we will show that an enormous amount of information about
the initial state survives even at infinitely large times, in contrast to earlier expectations. We provide an
intuitive explanation of the above results based on the cluster decomposition
principle and the hydrodynamic character of the evolution. Lastly we will discuss applications to cold atom
experiments and generalisations to spin chains.
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Niels Benedikter
University of Copenhagen |
22 Settembre 2015 |
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