Many-Body Seminar. Relative entropic uncertainty relation for scalar quantum fields

Markus Schröfl & Tobi Haas (Heidelberg University)
Entropic uncertainty is a well-known concept to formulate uncertainty relations for continuous variable quantum systems with finitely many degrees of freedom.

Markus Schröfl & Tobi Haas (Heidelberg University)
Group Seminar via Zoom
Thu, 22. July 2021, 11:00 am (MEZ)

*Abstract*:

Entropic uncertainty is a well-known concept to formulate uncertainty relations for continuous variable quantum systems with finitely many degrees of freedom. Typically, the bounds of such relations scale with the number of oscillator modes, preventing a straight-forward generalization to quantum field theories.

In this talk, we will present a way of overcoming this difficulty by introducing the notion of a functional relative entropy, which has a meaningful field theory limit. We will show the first entropic uncertainty relation for a scalar quantum field theory and illustrate that its bound remains finite also for an infinite number of oscillator modes.

*Important: This time we begin directly with the talk at 11h and we're skipping our usual informal discussion in the beginning.*

If you'd like to participate in the seminar, please contact us!