QUROPE Quantum Information Processing and Communication in Europe

This summer school aims to provide an in-depth overview of the low-dimensional systems with a particular, but not exclusive, emphasis on the Bethe ansatz. The Bethe ansatz solution of certain one-dimensional models is still the only known systematic method to find the ground state properties of non-trivial quantum many-body models. While some lectures will be basic and pedagogical, focusing on the models (Hubbard, Heisenberg, Lieb-Liniger models), and the methods (coordinate Bethe ansatz, algebraic Bethe ansatz, nested Bethe ansatz, thermodynamics Bethe ansatz, finite size Bethe ansatz), but more advanced topics will also be covered, such as transport, properties, correlation functions, non-equilibrium phenomena, quantum quenches, quantum entanglement and the general issue of quantum integrability. These topics serve as a guideline to the school, but they will be replaced by more specifics when the program based on the actualy abstracts of the lecturers are considered.

Lectures:

• Natan Andrei: Quench dynamics of integrable quantum many body systems in 1d (Rutgers University, New Brunswick, NJ, USA)
• Hans Peter Eckle: Introduction to Bethe ansatz techniques and some of their applications to models of quantum matter (University of Ulm, Germany)
• Frank Göhmann: Q-Operators and functional relations for U_q(sl(n))/The algebraic Bethe ansatz approach to thermal correlation functions of integrable models (University of Wuppertal, Germany)
• Örs Legeza: Generalized tensor methods and entanglement measurements for strongly correlated systems (Wigner Institute, Budapest, Hungary)
• Bernard Nienhuis: to be announced (University of Amsterdam, The Netherlands)
• Itzhak Roditi: Ultracold physics and exactly solvable models (Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil)
• Lea Santos: Introduction to the computational analysis of the static properties and dynamics of one-dimensional spin-1/2 systems (Yeshiva University, New York, NY, USA)

Location