Traffic models and traffic-jam transition in quantum (N+1)-level systems

NAVA, ANDREA; Giuliano, Domenico; Papa, Alessandro; Rossi, Marco

doi:10.21468/SciPostPhysCore.5.2.022

SciPost Physics Core

Traffic models and traffic-jam transition in quantum (N+1)-level systems

Andrea Nava, Domenico Giuliano, Alessandro Papa, Marco Rossi

SciPost Phys. Core 5, 022 (2022) · published 19 April 2022

doi: 10.21468/SciPostPhysCore.5.2.022
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Abstract

We propose a model to implement and simulate different traffic-flow conditions in terms of quantum graphs hosting an (N+1)-level dot at each site, which allows us to keep track of the type and of the destination of each vehicle. By implementing proper Lindbladian local dissipators, we derive the master equations that describe the traffic flow in our system. To show the versatility and the reliability of our technique, we employ it to model different types of traffic flow (the symmetric three-way roundabout and the three-road intersection). Eventually, we successfully compare our predictions with results from classical models.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.5.2.022
TI  - Traffic models and traffic-jam transition in quantum (N+1)-level systems
PY  - 2022/04/19
UR  - https://www.scipost.org/SciPostPhysCore.5.2.022
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 5
IS  - 2
SP  - 022
A1  - NAVA, ANDREA
AU  - Giuliano, Domenico
AU  - Papa, Alessandro
AU  - Rossi, Marco
AB  - We propose a model to implement and simulate different traffic-flow conditions in terms of quantum graphs hosting an (N+1)-level dot at each site, which allows us to keep track of the type and of the destination of each vehicle. By implementing proper Lindbladian local dissipators, we derive the master equations that describe the traffic flow in our system. To show the versatility and the reliability of our technique, we employ it to model different types of traffic flow (the symmetric three-way roundabout and the three-road intersection). Eventually, we successfully compare our predictions with results from classical models.
ER  -

@Article{10.21468/SciPostPhysCore.5.2.022,
	title={{Traffic models and traffic-jam transition in quantum (N+1)-level systems}},
	author={Andrea Nava and Domenico Giuliano and Alessandro Papa and Marco Rossi},
	journal={SciPost Phys. Core},
	volume={5},
	pages={022},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.5.2.022},
	url={https://scipost.org/10.21468/SciPostPhysCore.5.2.022},
}

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Funders for the research work leading to this publication

European Regional Development Fund [ERDF]
Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])