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Dynamics and relaxation in quantum integrable systems

Presented by: 
Jean-Sébastien Caux Universiteit van Amsterdam
Date: 
Tuesday 12th January 2016 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
This talk will review a number of integrability-based results on the dynamics of quantum spin chains and interacting atomic gases. In equilibrium, space- and time-dependent correlations will be reviewed, together with corresponding experimental observations. Integrability will also be used to describe the dynamics of (quasi)solitonic excitations and their scattering properties. For more generic out-of-equilibrium situations, a number of recent developments will be explained, including the Quench Action method for explicitly calculating the relaxation of observables after a quantum quench. The exact solution to the Néel-to-XXZ quench using the QA will be presented, together with recent results on the necessity to include quasilocal charges in the Generalized Gibbs Ensemble in order to properly describe post-quench steady-state properties.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons