Understanding Traffic Jams Using Lindblad Superoperators

We propose a model to simulate different traffic-flow conditions in terms of quantum graphs hosting an (N+ 1)-level dot at each site. Our model allows us to keep track of the type and of the destination of each vehicle. The traffic flow inside the system is encoded in a proper set of Lindbladian local dissipators that describe the time evolution of the system density matrix. Taking advantage of the invariance of the Lindblad master equation under inhomogeneous transformations we derive the quantum Hamiltonian for the bulk dynamics in a proper experimental setup.

Automated summary

We propose a model to simulate different traffic-flow conditions using quantum graphs with an (N+1)-level dot at each site. The model tracks the type and destination of each vehicle. The traffic flow is encoded using Lindbladian local dissipators, which describe the time evolution of the system density matrix. By exploiting the invariance of the Lindblad master equation under inhomogeneous transformations, we derive the quantum Hamiltonian for the bulk dynamics in a suitable experimental setup.