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Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each edge of the graph. Time reversal invariance is…

Mathematical Physics · Physics 2011-09-23 Mihail Mintchev

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

Coherent evolution governs the behaviour of all quantum systems, but in nature it is often subjected to influence of a classical environment. For analysing quantum transport phenomena quantum walks emerge as suitable model systems. In…

Coherent information quantifies the transmittable quantum information through a channel and is directly linked to the channel's quantum capacity. In a monitored quantum circuit, regarded as a quantum channel, extensive and positive coherent…

Quantum Physics · Physics 2025-12-11 Dongheng Qian , Jing Wang

Quantum spin networks can be used to transport information between separated registers in a quantum information processor. To find a practical implementation, the strict requirements of ideal models for perfect state transfer need to be…

Quantum Physics · Physics 2012-04-09 Ashok Ajoy , Paola Cappellaro

Unidirectional and robust transport is generally observed at the edge of two- or three-dimensional quantum Hall and topological insulator systems. A hallmark of these systems is topological protection, i.e. the existence of propagative edge…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 Stefano Longhi , Davide Gatti , Giuseppe Della Valle

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

Air pollution can be studied in the urban structure regulated by transport networks. Transport networks can be studied as geometric and topological graph characteristics through designed models. Current studies do not offer a comprehensive…

Physics and Society · Physics 2025-06-03 Nan Xu

One abstract method for the study of network transportation is proposed in this paper. By interpolating the properties of the edges that constitute network into the two leading parameters of the nodes, this method can abstract the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Chang Yun-Feng , Xu Cai

Many situations in physics, biology, and engineering consist of the transport of some physical quantity through a network of narrow channels. The ability of a network to transport such a quantity in every direction can be described by the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Marc Durand , Denis Weaire

In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each…

Physics and Society · Physics 2015-05-13 Lucas Lacasa , Miguel Cea , Massimiliano Zanin

Partial graph matching extends traditional graph matching by allowing some nodes to remain unmatched, enabling applications in more complex scenarios. However, this flexibility introduces additional complexity, as both the subset of nodes…

Machine Learning · Computer Science 2026-02-26 Gathika Ratnayaka , James Nichols , Qing Wang

It is shown that energy transfer in a homogeneous fully connected quantum network is assisted by a decohering interaction with environmental spins. Analytic expressions for the transfer probabilities are obtained for the zero temperature…

Quantum Physics · Physics 2014-01-28 A. Marais , I. Sinayskiy , A. Kay , F. Petruccione , A. Ekert

Perfect state transfer between qubits on a uniformly coupled network, with interactions specified by a graph, has advantages over an engineered chain, such as much faster transfer times (independent of the distance between the input and…

Quantum Physics · Physics 2018-11-27 Alastair Kay

We examine the excitation transport across quantum networks that are continuously driven by a constant and incoherent light source. In particular we investigate the coherence properties of incoherently driven networks by employing recent…

Quantum Physics · Physics 2015-06-12 Björn Witt , Florian Mintert

Entangled qubits transported through space is a key element in many prospective quantum information systems, from long-distance quantum communication to large modular quantum processors. The moving qubits are decohered by time- and…

Mesoscale and Nanoscale Physics · Physics 2024-09-09 Aleksandr S. Mokeev , Yu-Ning Zhang , Viatcheslav V. Dobrovitski

We study probabilistic protocols for concurrent threshold-based load balancing in networks. There are n resources or machines represented by nodes in an undirected graph and m >> n users that try to find an acceptable resource by moving…

Data Structures and Algorithms · Computer Science 2013-06-07 Martin Hoefer , Thomas Sauerwald

Quantum transport plays a central role in both fundamental physics and the development of quantum technologies. While significant progress has been made in understanding transport phenomena in quantum systems, methods for optimizing…

Quantum Physics · Physics 2025-08-07 Dolores Esteve , Carlos Pérez-Espigares , Ricardo Gutiérrez , Daniel Manzano

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

We present a study of transport on complex networks with routing based on local information. Particles hop from one node of the network to another according to a set of routing rules with different degrees of congestion awareness, ranging…

Statistical Mechanics · Physics 2007-07-12 Bogdan Danila , Yong Yu , Samuel Earl , John A. Marsh , Zoltan Toroczkai , Kevin E. Bassler