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A: Fachverband Atomphysik

A 29: Ultra-cold plasmas and Rydberg systems III (joint session A/Q)

A 29.2: Talk

Friday, March 13, 2020, 11:30–11:45, b305

Entanglement and Critical Dynamics in (1+1)D (Rydberg) Quantum Cellular Automata — •Edward Gillman1, Federico Carollo1,2, and Igor Lesanovsky1,21School of Physics and Astronomy,University of Nottingham, Nottingham, NG7 2RD, United Kingdom — 2Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany

The study of non-equilibrium phase transitions in dissipative quantum many-body systems presents a significant challenge [1,2]. One open problem relates to the relevance of quantum correlations, and particularly entanglement, on critical physics. Recently, quantum cellular automata (QCA) * realisable in quantum simulators based on Rydberg atoms * have been shown to constitute an ideal platform for investigating such questions. In this talk we present a framework for analysing QCA with absorbing states based on projected entangled pairs states. This permits the study and quantification of the effect of entanglement on non-equilibrium dynamics and critical behaviour.

[1] F. Carollo, E. Gillman, H. Weimer, and I. Lesanovsky, Phys. Rev. Lett. 123, 100604 (2019). [2] E. Gillman, F. Carollo, and I. Lesanovsky, New Journal of Physics 21, 093064 (2019).

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