Séminaire Jean-Sébastien CAUX

Mercredi 24 janvier 2024, 15h00, salle E4.13b

Jean-Sébastien CAUX

Institute of Physics, University of Amsterdam

Integrability and truncated spectrum approach for out-of-equilibrium dynamics

A big challenge of modern-day many-body theory is to expand the existing (mostly equilibrium) toolbox to treat out-of-equilibrium problems, for example quantum quenches. Results are predicated on the ability to compute overlaps between the initial state and eigenstates of the Hamiltonian that governs time evolution; such overlaps are unavailable in most cases. For integrable models, as often is the case, some detailed results can be extracted from specific cases. This talk will present a hybrid theoretical/numerical approach, inspired by the Truncated (Conformal) Spectrum Approach, to preferentially generate the states with high overlaps for a generic quantum quench starting from the ground state or an excited state of an initial Hamiltonian. We use these preferentially generated states, in combination with a "high overlap states truncation scheme" and a modification of the numerical renormalization group, to compute non-equilibrium dynamics following a quench in the Lieb-Liniger model.

Lien teams: https://teams.microsoft.com/l/meetup-join/19%3aac3d3339d1c740e0a3b81b94e49808c1%40thread.tacv2/1698658652943?context=%7b%22Tid%22%3a%22b8c19512-2aed-471d-a8d1-9b06e7da786a%22%2c%22Oid%22%3a%222ea0eb78-4abd-439c-8240-cc89774321a2%22%7d