Riccardo J. Valencia-Tortora

Johannes Gutenberg-Universität, Mainz, Germany

 

Non-ergodicity in kinetically constrained models: localization, fragmentation, and confinement

 

Strongly interacting systems are generally expected to thermalize, making local information of the initial state scattered into highly non-local degrees of freedom that are challenging to access. However, various mechanisms exist that could prevent thermalization and, therefore, aid in passively protecting coherence and quantum information.

 

In this talk, I will show how different ergodicity-breaking mechanisms manifest in a single class of models, known as kinetically constrained models, which can be realized in current platforms based on Rydberg arrays [1] and superconducting circuits [2]. Then, I will discuss a novel dynamical phase transition between an ergodic phase and a non-ergodic one that these models can host, which can be diagnosed through the complexity of simulating the dynamics using tensor networks [3].

 

[1]  R. J. Valencia-Tortora, et al., Phys. Rev. Lett. 132, 223201

[2]  R. J. Valencia-Tortora, et al., PRX Quantum 3, 020346

[3]  Manthan Badbaria, et al., in preparation