arXiv subjects

A. D. Lobanova

Publications and source records attributed to A. D. Lobanova.

2 recordsLinked to original sources

arXiv2021

Controversy of quantum congestion in two-particle quantum walks

The article deals with one- and two-particle quantum walks on a graph with Braess-like topology and analyzes the issue of network congestion in the quantum world. Our approach to the study of congestion in quantum networks is based on the comparison of the evolution of bosonic and fermionic many-particle states. We consider a simple example of non-interacting particles, where one can expect the appearance of congestion in the fermion case due to the Pauli principle. It is shown that dependence of the transport efficiency on the parameters of quantum graph is similar in the bosonic and fermionic cases.

quant-ph↗

arXiv2021

Two-parameter landscape of transport efficiency in mesoscopic networks: transitions from the Braess to normal regimes without a congestion relaxation

This paper deals with the Braess paradox in quantum transport. The scattering matrix formalism is used to consider a two-parameter family of mesoscopic conductors with the topology of the classical Braess transport network. The study investigates the mutual influence of the congestion and smoothness of the system on the Braess behavior. Both the Braess paradox and normal transport regimes coexist within the two-parametric landscape under the same congestion.

cond-mat.mes-hall↗