Objectif The computation of dynamical properties (both equilibrium and non-equilibrium) of interacting quantum systems is one of the foremost challenges in contemporary condensed matter theory. Such computations can describe experiments in cold atomic gases, as well as a diverse range of probes in solid-state systems (e.g. inelastic neutron scattering, ARPES, RIXS). The aim of this proposal is to develop a theoretical framework for the study of dynamical properties of two-component quantum gases (TCQGs), systems that are both ubiquitous and under active experimental investigation. This objective will be achieved in four major steps.1. Development of a non-perturbative computational algorithm for integrable TCQGs. Exact results from integrability will be combined with efficient numerical routines to evaluate correlation functions. This will enable the study of large systems, beyond the reach of existing techniques.2. The algorithm will be used to study equilibrium dynamics (spectral functions and dynamical structure factors); results will be compared to predictions from field theory techniques, such as the non-linear Luttinger liquid, and links made to experiments. Analytical study of the attractive gas will examine the role of multiple species of bound states. 3. The non-equilibrium dynamics of TCQGs following a quantum quench will be studied. Numerical results will be combined with analytical insights from the Quench Action framework. Scenarios with no analog in a single-component gas will be accessible, opening a door to new and interesting experimentally accessible physics.4. A numerical framework to treat non-integrable TCQGs will be developed. Using eigenstates of a proximate integrable point as a computational basis, well-tested numerical techniques such as the truncated conformal space approach and the Chebyshev expansion will perform time-evolution with non-integrable Hamiltonians, enabling direct links to on-going experiments in cold atomic gases. Champ scientifique natural sciencesphysical sciencesquantum physicsnatural sciencesphysical sciencesatomic physicsnatural sciencescomputer and information sciencescomputational sciencenatural sciencesphysical sciencescondensed matter physicsquantum gasesnatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Thème(s) MSCA-IF-2016 - Individual Fellowships Appel à propositions H2020-MSCA-IF-2016 Voir d’autres projets de cet appel Régime de financement MSCA-IF-EF-RI - RI – Reintegration panel Coordinateur UNIVERSITEIT VAN AMSTERDAM Contribution nette de l'UE € 165 598,80 Adresse SPUI 21 1012WX Amsterdam Pays-Bas Voir sur la carte Région West-Nederland Noord-Holland Groot-Amsterdam Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 165 598,80