Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.stat-mech
Date Mercredi 17 Mars 2021
Heure 14:30
Institut LPENS
Salle TBA
Nom de l'orateur Medenjak
Prenom de l'orateur Marko
Addresse email de l'orateur
Institution de l'orateur LPENS
Titre Bounds on time translation symmetry breaking
Résumé Isolated systems consisting of many interacting particles are generally assumed to relax to a stationary state, whose macroscopic properties are described by the laws of thermodynamics and statistical physics. In this seminar we will explore whether quantum systems can avoid relaxation and if stationarity itself can be unstable, meaning that even the slightest disturbance of the thermal state leads to perpetually changing physical properties. Analogous behaviour was experimentally observed in driven quantum systems (Floquet time crystals), in which the response of the system does not follow the period of the driving. We will show that time translation symmetry breaking is possible even in perfectly isolated quantum systems without any driving, and provide rigorous bounds on it in terms of dynamical symmetries. Finally, we will see how time translation symmetry breaking occurs in the Heisenberg XXZ spin chain, and show that its properties are a no-where continuous (fractal) function of the system parameters. [1] M. Medenjak, B. Buča, and D. Jaksch, Phys. Rev. B 102, 041117(R) (2020). [2] M. Medenjak, T. Prosen, and L. Zadnik, SciPost Phys. 9, 3 (2020).
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