SMuK 2021 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 17: Entropy in Quantum Field Theory

MP 17.3: Talk

Thursday, September 2, 2021, 17:20–17:45, H6

Entanglement entropy between spatial regions of an interacting condensate — •Natalia Sánchez-Kuntz and Stefan Flörchinger — ITP, Heidelberg University, Philosophenweg 16, D-69120 Heidelberg, Germany

We treat a nonrelativistic limit of QFT in which the entanglement entropy is finite in the UV. Furthermore we show that a scaling of the entanglement entropy with the system size for relativistic phonons is recovered. We discuss the emergence of an IR divergence, and its relation to zero modes. We compare this with other theories with similar behaviour.

We show the results related to a Bose-Einstein condensate in 1+1 dimensions and comment on further questions we are exploring at the moment, along with some challenges that come our way.