Wonders of Broken Integrability: October 2 – 6, 2017

Workshop: Wonders of Broken Integrability
October 2-6, 2017
Organized by: Fabian Essler, Giuseppe Mussardo and Alexei Tsvelik

Quantum Integrability is one of the most significant concepts of modern science, characterized by a wide spectrum of applications and fascinating mathematical properties. Striking advances in the fields of ultra-cold atomic gases, non-equilibrium and thermalization properties of many-particle quantum systems and low-dimensional quantum magnetism have led to a huge increase in interest and activity in the subject in recent years.

Concepts and methods related to quantum integrability have opened up the way for the exact determination of some of the most important dynamical properties of strongly interacting many particle quantum systems. These developments have created an enticing setting for scientists interested in purely mathematical aspects as well as those wishing to have close contact with experiments. Results obtained for integrable theories often display a degree of robustness with respect to perturbations and therefore provide very useful paradigms for understanding the physical properties of real (non-integrable) systems.

The purpose of this workshop, organized in connection to the program Hydrodynamics, ergodicity, entanglement and localization in interacting lattice models and field theories, is to further explore the use of the detailed information on e.g. the spectrum and matrix elements of local operators available for quantum integrable models, to investigate the properties of non-integrable perturbations. Techniques that have been employed to this end include the Truncated Conformal Space Approach and its improvements, form-factor perturbation theory, semiclassical approximations and tensor network methods.

The aim of the workshop is to bring together experts in the various techniques in order to discuss the recent theoretical and numerical developments and applications of the various methods to cold atom physics, quantum quenches, quasi one dimensional quantum magnets, relativistic QFT in 1+1 dimensions and disordered systems.