Entanglement propagation and dynamics in non-additive quantum systems

Year: 2023

Authors: Giachetti G., Defenu N.

Autors Affiliation: SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN Sez Trieste, Via Bonomea 265, I-34136 Trieste, Italy; Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, Zurich, Switzerland.

Abstract: The prominent collective character of long-range interacting quantum systems makes them promising candidates for quantum technological applications. Yet, lack of additivity overthrows the traditional picture for entanglement scaling and transport, due to the breakdown of the common mechanism based on excitations propagation and confinement. Here, we describe the dynamics of the entanglement entropy in many-body quantum systems with a diverging contribution to the internal energy from the long-range two body potential. While in the strict thermodynamic limit entanglement dynamics is shown to be suppressed, a rich mosaic of novel scaling regimes is observed at intermediate system sizes, due to the possibility to trigger multiple resonant modes in the global dynamics. Quantitative predictions on the shape and timescales of entanglement propagation are made, paving the way to the observation of these phases in current quantum simulators. This picture is connected and contrasted with the case of local many body systems subject to Floquet driving.

Journal/Review: SCIENTIFIC REPORTS

Volume: 13 (1)      Pages from: 12388-1  to: 12388-11

More Information: This research was funded by the Swiss National Science Foundation (SNSF) grant number 200021 207537 and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster). G.G. thanks Giuseppe di Giulio and Sara Murciano for the useful discussions, and Alessandro Santini for the insightful comments.
DOI: 10.1038/s41598-023-37984-3

Citations: 2
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