Entanglement, holonomic constraints, and the quantization of fundamental interactions

Giampaolo, Salvatore Marco; Macrí, T. (2019) Entanglement, holonomic constraints, and the quantization of fundamental interactions. Scientific Reports, 9 . ISSN 2045-2322

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Abstract

We provide a proof for the necessity of quantizing fundamental interactions demonstrating that a quantum version is needed for any non trivial conservative interaction whose strength depends on the relative distance between two objects. Our proof is based on a consistency argument that in the presence of a classical field two interacting objects in a separable state could not develop entanglement. This requirement can be cast in the form of a holonomic constraint that cannot be satisfied by generic interparticle potentials. Extending this picture of local holonomic constraints, we design a protocol that allows to measure the terms of a multipole expansion of the interaction of two composite bodies. The results presented in this work can pave the way for a study of fundamental interactions based on the analysis of entanglement properties.

Item Type:	Article
Additional Information:	We acknowledge discussions with C. Bonato and F. Novaes. S.M.G. acknowledges support by the H2020 CSA Twinning project No. 692194, "RBI-T-WINNING" and by the QuantiXLie Center of Excellence, a project co-financed by the Croatian Government and European Union through the European Regional Development Fund - the Competitiveness and Cohesion Operational Programme (Grant KK.01.1.1.01.0004). T.M. acknowledges for support CAPES through the Project CAPES/Nuffic n. 88887.156521/2017-00 and CNPq through Bolsa de produtividade em Pesquisa n. 311079/2015-6. This work was supported by the Serrapilheira Institute (grant number Serra-1812-27802 to T.M.).
Uncontrolled Keywords:	gravity; entanglement
Subjects:	NATURAL SCIENCES > Physics > General and Classical Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division-RBI-T-WINNING Fabrizio NESTI 692194 EK Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SIN Blazenka Melic KK.01.1.1.06.0006 EK
Depositing User:	Salvatore Marco Giampaolo
Date Deposited:	29 Apr 2020 13:18
URI:	http://fulir.irb.hr/id/eprint/5440
DOI:	10.1038/s41598-019-47844-8

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