Wonders of Broken Integrability: October 2-6, 2017

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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.

Talk Schedule


Time Title Presenter Location
9:00am Geometrical correlations in 2D stat. mech. models’ Hubert Saleur SCGP 102
9:50am Dynamics of probed, pulsed, quenched and driven integrable quantum systems. Jean-Sebastien Caux SCGP 102
10:35am Coffee N/A SCGP Cafe
11:15am Transport in Integrable Quantum Spin Chains and Beyond Bruno Bertini SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:00pm Intermediate-time dynamics in out-of-equilibrium systems. Maurizio Fagotti SCGP 102
2:50pm Hydrodynamics of clean and disordered systems near integrability Romain Vasseur SCGP 102
3:35pm Tea N/A

Time Title Presenter Location
9:00am Symplectic matrix product state algorithms for simulating time evolution in quantum spin chains Frank Verstraete SCGP 102
9:50am Emergent eigenstate solution to quantum dynamics far from equilibrium Marcos Rigol
10:35am Coffee N/A SCGP Cafe
11:15am Non-thermal states in the non-integrable Ising field theory Neil Robinson SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:00pm SCGP Weekly Talk: Preserving Quantum Coherence Paul Fendley SCGP 102
2:50pm
Renormalization in Hamiltonian Truncation
Lorenzo Vitale SCGP 102
3:35pm Tea N/A
4:10pm Totally Asymmetric Models as Generators of Oriented Multi-Dimensional Random Walks Nikolay Bogoliubov SCGP 102

Time Title Presenter Location
9:00am From ballistic to diffusive transport, and localization, in 1D critical systems. Denis Bernard SCGP 102
9:50am Noisy Spins and the Richardson-Gaudin Model. Austen Lamacraft
10:35am Coffee N/A SCGP Cafe
11:15am Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws Shivaji Sondhi SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:00pm Fate of spinons in two-leg SU(N) spin ladder Philippe Lecheminant SCGP 102
2:50pm Thermal form factors and form factor series for correlation functions of the XXZ chain Frank Goehmann SCGP 102
3:35pm Tea N/A
4:10pm Understanding versus Ignorance; Integrability, differential equations, zeros, universality. Barry McCoy SCGP 102

Time Title Presenter Location
9:00am The Anderson Impurity Model as a Derivative of the Hubbard Model Andreas Kluemper SCGP 102
9:50am Models solvable in a weak sense. Vladimir Korepin SCGP 102
10:35am Coffee N/A SCGP Cafe
11:15am Analytical results for the evolution of chaotic many-body quantum systems Lea Santos SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:00pm N/A Robert Konik SCGP 102
2:50pm N/A Vincenzo Alba SCGP 102
3:35pm Tea N/A

Time Title Presenter Location
9:00am N/A Gábor Takacs SCGP 102
9:50am N/A German Rodero Sierra
10:35am Coffee N/A SCGP Cafe
11:15am Integrable quenches of integrable spin chains Balazs Pozsgai SCGP 102
12:00pm Lunch N/A SCGP Cafe
3:35pm Tea N/A


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