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We consider the role of network geometry in two types of diffusion processes: transport of constant-density information packets with queuing on nodes, and constant voltage-driven tunneling of electrons. The underlying network is a…

Statistical Mechanics · Physics 2010-10-05 Milovan Suvakov , Bosiljka Tadic

We study the excitation transfer across a fully connected quantum network whose sites energies can be artificially designed. Starting from a simplified model of a broadly-studied physical system, we systematically optimize its local…

Quantum Physics · Physics 2024-05-13 S. Sgroi , G. Zicari , A. Imparato , M. Paternostro

Transport phenomena at the nanoscale are of interest due to the presence of both quantum and classical behavior. In this work, we demonstrate that quantum transport efficiency can be enhanced by a dynamical interplay of the system…

Quantum Physics · Physics 2009-05-22 Patrick Rebentrost , Masoud Mohseni , Ivan Kassal , Seth Lloyd , Alán Aspuru-Guzik

We consider a three-node fully connected network (Delta network) showing that a coherent population trapping phenomenon occurs, generalizing results for the Lambda network known to support a dark state. Transport in such structures provides…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 T. J. Pope , J. Rajendran , A. Ridolfo , E. Paladino , F. M. D. Pellegrino , G. Falci

Recent theoretical studies show that decoherence process can enhance transport efficiency in quantum systems. This effect is known as environment-assisted quantum transport (ENAQT). The role of ENAQT in optimal quantum transport is well…

Quantum Physics · Physics 2015-06-19 A. Shabani , M. Mohseni , H. Rabitz. , S. Lloyd

Quantum entanglement and decoherence are the two counterforces of many quantum technologies and protocols. For example, while quantum teleportation is fueled by a pair of maximally entangled resource qubits, it is vulnerable to decoherence.…

Inspired by the works of [F. Caruso, New J. Phys. 16, 055015 (2014)] and [T. Scholak et al, J. Phys. B: At. Mol. Opt. Phys. 44 184012 (2011)], which state that for a large class of complex noisy networks, the optimal efficiency of quantum…

Quantum Physics · Physics 2018-05-16 Naghi Behzadi , Bahram Ahansaz

We present a trajectory-resolved framework for charge transport in graphene and related two-dimensional carbon systems beyond the ideal ballistic and fully coherent limits. Transport is described by kinetic Monte Carlo hopping on a…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 J. P. Dadario Pereira , Raphael Tromer , Luiz A. Ribeiro Junior , Douglas S. Galvao

Quantum transport on structured networks is strongly influenced by interference effects, which can dramatically modify how information propagates through a system. We develop a quantum-information-theoretic framework for scattering on…

Quantum Physics · Physics 2026-01-29 Giuseppe Catalano , Farzad Kianvash , Vittorio Giovannetti

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the…

Statistical Mechanics · Physics 2009-11-11 Jose J. Ramasco , Bruno Goncalves

This paper consists in two parts. First we set up a general scheme of local traps in an homogeneous deterministic quantum system. The current of particles caught by the trap is linked to the dynamical behaviour of the trap states. In this…

Mathematical Physics · Physics 2007-05-23 R. Alicki , M. Fannes , B. Haegeman , D. Vanpeteghem

Continuous time quantum walks (CTQW) do not necessarily perform better than their classical counterparts, the continuous time random walks (CTRW). For one special graph, where a recent analysis showed that in a particular direction of…

Quantum Physics · Physics 2009-11-10 Oliver Muelken , Alexander Blumen

The problem of electron scattering on the one-dimensional complexes is considered. We propose a novel theoretical approach to solution of the transport problem for a quantum graph. In the frame of the developed approach the solution of the…

Mathematical Physics · Physics 2011-09-01 Alexander F. Klinskikh , Anton V. Dolgikh , Peter A. Meleshenko , Sergey A. Sviridov

A general analytical theory of temporal relaxation processes in isolated quantum systems with many degrees of freedom is elaborated, which unifies and substantially amends several previous approximations. Specifically, the Fourier transform…

Statistical Mechanics · Physics 2019-05-09 Peter Reimann

Quantum networks are promising venues for quantum information processing. This motivates the study of the entanglement properties of the particular multipartite quantum states that underpin these structures. In particular, it has been…

Quantum Physics · Physics 2025-12-31 Fernando Lledó , Carlos Palazuelos , Julio I. de Vicente

Dissipation is a common occurrence in real-world systems and is generally considered to be detrimental to transport. In this study, we examine the transport properties of a narrow quantum anomalous Hall system with dissipation applied on…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Ming Lu , Xue-Zhu Liu , Hailong Li , Zhi-Qiang Zhang , Jie Liu , X. C. Xie

The interplay of noise and quantum coherence in transport gives rise to rich dynamics relevant for a variety of systems. In this work, we put forward a proposal for an experiment testing noise-induced transport in the vibrational modes of a…

Quantum Physics · Physics 2016-11-23 Cecilia Cormick , Christian T. Schmiegelow

We consider the problem of energy transport in a chain of coupled quantum systems with the goal of shedding light on how nonclassical resources can affect transport. We study the cases for which either coherent or incoherent energy hopping…

Quantum Physics · Physics 2021-06-03 I. Medina , S. V. Moreira , F. L. Semião

We analyze the process of informational exchange through complex networks by measuring network efficiencies. Aiming to study non-clustered systems, we propose a modification of this measure on the local level. We apply this method to an…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. Vragović , E. Louis , A. Díaz-Guilera

We established a theoretical framework in terms of the curl flux, population landscape, and coherence for non-equilibrium quantum systems at steady state, through exploring the energy and charge transport in molecular processes. The curl…

Chemical Physics · Physics 2016-01-06 Zhedong Zhang , Jin Wang