This workshop will set the stage and define research directions for the rest of the program. The idea is to achieve a healthy mix between researchers developing quantum theories and methods on different spatial and temporal scales (from field theory to continuum), providing a forum to discuss the advances in multiscale modeling in quantum mechanics and pave the way to stronger coupling between existing methods and completely novel quantum approaches. The main question is: how to integrate existing quantum methods at different levels of accuracy and efficiency, reduce their weaknesses, improve their applicability, explore limiting behaviors, and enable quantum calculations on much larger scales? For example, electronic orbitals obtained from density-functional theory calculations are being increasingly used in many-body Green’s function theories, explicitly correlated methods, quantum impurity models, quantum embedding theories, and quantum computation of electronic structure. Such synergies provide a way to approach the exact solution of the Schroedinger equation, in addition to significantly accelerating the cost of explicit many-body calculations. On a much larger spatial scale, multiscale coupling of approximate many body Hamiltonians with Maxwell’s equations allows unifying microscopic and continuum treatments of van der Waals and Casimir interactions, eventually making it possible to push the boundaries of such calculations to macroscopic systems.
This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.
(École Nationale des Ponts-et-Chaussées, Applied Mathematics)
Maria J. Esteban (CNRS and Université Paris-Dauphine, Mathematics)
Giulia Galli (University of Chicago, Chemistry)
Lin Lin (University of California, Berkeley (UC Berkeley), Mathematics)
Alejandro Rodriguez (Princeton University, Mathematics)
Alexandre Tkatchenko (University of Luxembourg, Theory)