Quantum Encounters Seminar -- Quantum Information, Condensed Matter, Quantum Field Theory
# Exact Eigenstates in Non-Integrable Systems: A violation of the ETH

→
Europe/Paris

Zoom Réunion
### Zoom Réunion

Description

We find that several non-integrable systems exhibit some exact eigenstates that span the energy spectrum from lowest to the highest state. In the AKLT Hamiltonian and in several others “special” non-integrable models, we are able to obtain the analytic expression of states exactly and to compute their entanglement spectrum and entropy to show that they violate the eigenstate thermalization hypothesis. This represented the first example of ETH violation in a non-integrable system; these types of states have gained notoriety since then as quantum Scars in the context of Rydberg atoms experiments. We furthermore show that the structure of these states, in most models where they are found is that of an almost spectrum generating algebra which we call Restricted Spectrum Generating Algebra. This includes the (extended) Hubbard model, as well as some thin-torus limits of Fractional Quantum Hall states. Yet in other examples, such as the recently found chiral non-linear luttinger liquid, their structure is more complicated and not understood.

Participer à la réunion Zoom

https://us02web.zoom.us/j/82078858054?pwd=KzhaZldTbFhJclUrK3YrYkI5VTJVdz09

ID de réunion : 820 7885 8054

Code secret : 560193

Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe quantum_encounters_seminar PRENOM NOM"

(indiquez vos propres prénom et nom) et laissez le corps du message vide.

Organized by

Vasily Pestun & Slava Rychkov

Contact