Monitoring non-relativistic information dynamics via spatio-temporal Bell-like inequalities

Monitoring non-relativistic information dynamics via spatio-temporal Bell-like inequalities

Seminar author:Andrea Tononi

Event date and time:07/09/2025 02:30:pm

Event location:Seminars Room, GIQ

Event contact:

Bell and Leggett-Garg inequalities, which bound combinations of correlation functions under classical assumptions, are famously violated by quantum systems. I will introduce spatio-temporal extensions of these inequalities and use them to probe the non-relativistic quantum dynamics of spin chains. The key result is that their violations reveal the finite speed for information spreading, constrained by the Lieb-Robinson bound. In specific regimes, these violations also serve as tests on nonlocality and macrorealism in many-body quantum systems. 

[1] A. Tononi, M. Lewenstein,  Quantum Sci. Technol. 10, 03LT01 (2025).

[2] G. Müller-Rigat, D. Farina, M. Lewenstein, A. Tononi, Spatial Leggett-Garg inequalities, to appear on arXiv (2025).