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We present a noncommutative optimal transport framework for quantum channels acting on von Neumann algebras. Our central object is the Lipschitz cost measure, a transportation-inspired quantity that evaluates the minimal cost required to…

Operator Algebras · Mathematics 2025-06-05 Roy Araiza , Marius Junge , Peixue Wu

We consider the question of how to distinguish quantum from classical transport through nanostructures. To address this issue we have derived two inequalities for temporal correlations in nonequilibrium transport in nanostructures weakly…

Mesoscale and Nanoscale Physics · Physics 2011-06-20 Neill Lambert , Clive Emary , Yueh-Nan Chen , Franco Nori

Placing a quantum dot close to a metal nanowire leads to drastic changes in its radiative decay behavior because of evanescent couplings to surface plasmons. We show how two non-Markovian effects, band-edge and retardation, could be…

Quantum Physics · Physics 2015-05-13 Yueh-Nan Chen , Guang-Yin Chen , Ying-Yen Liao , Neill Lambert , Franco Nori

The distribution of waiting times between successive tunneling events is an already established method to characterize current fluctuations in mesoscopic systems. Here, I investigate mechanisms generating correlations between subsequent…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Krzysztof Ptaszynski

Coherent electron transport is investigated in a molecular device made of polymeric chain sandwiched between two metallic electrodes. Molecular system is described by a simple Huckel model, while the coupling to the electrodes is treated…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kamil Walczak

We investigate non-equilibrium transport through interacting superconducting nanojunctions using a Liouville space approach. The formalism allows us to study finite gap effects, and to account for both quasiparticle and Cooper pair…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Jordi Picó-Cortés , Gloria Platero , Andrea Donarini , Milena Grifoni

We consider a tunnel junction between two arbitrary non-linear systems in any dimension, which can be different. We show that the tunneling charge can be detected using three alternative methods based on current measurements. Besides being…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ines Safi , Eugene V. Sukhorukov

Physical parameters characterising electrokinetic transport in a confined electrolyte solution are reconstructed from the generic transport coefficients obtained within the classical non-equilibrium statistical thermodynamic framework. The…

Soft Condensed Matter · Physics 2014-11-18 Hiroaki Yoshida , Hideyuki Mizuno , Tomoyuki Kinjo , Hitoshi Washizu , Jean-Louis Barrat

Experimental results for sequential transport through a lateral quantum dot in the regime of spin blockade induced by spin dependent tunneling are compared with theoretical results obtained by solving a master equation for independent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Rogge , F. Cavaliere , M. Sassetti , R. J. Haug , B. Kramer

The rates of electron scattering via phonons in the armchair single-wall carbon nanotubes were calculated by using the improved scattering theory within the tight-binding approximation. Therefore, the problem connected with the discrepancy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitry Pozdnyakov , Vadim Galenchik , Fadei Komarov , Vladimir Borzdov

The form of electron counting statistics of the tunneling current noise in a generic many-body interacting electron system is obtained. The third correlator of current fluctuations (the skewness of the charge counting distribution) has a…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , M. Reznikov

We demonstrate that with a stepwise introduction of complexity to a model of an electron system embedded in a photonic cavity and a carefully controlled stepwise truncation of the ensuing many-body space it is possible to describe the…

Mesoscale and Nanoscale Physics · Physics 2013-07-01 Vidar Gudmundsson , Olafur Jonasson , Thorsten Arnold , Chi-Shung Tang , Hsi-Sheng Goan , Andrei Manolescu

We analyze the full counting statistics of a multiorbital Kondo effect in a quantum dotwith the SU(N) symmetry in the framework of the renormalized perturbation theory. The current probability distribution function is calculated for an…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 Rui Sakano , Akira Oguri , Takeo Kato , Seigo Tarucha

We study the influence of Coulomb interaction on the thermoelectric transport coefficients for a metallic single-electron transistor. By performing a perturbation expansion up to second order in the tunnel-barrier conductance, we include…

Mesoscale and Nanoscale Physics · Physics 2008-04-04 Björn Kubala , Jürgen König , J. P. Pekola

The extent to which quantum computers can simulate physical phenomena and solve the partial differential equations (PDEs) that govern them remains a central open question. In this work, one of the most fundamental PDEs is addressed: the…

Quantum Physics · Physics 2025-08-26 Julien Zylberman , Thibault Fredon , Nuno F. Loureiro , Fabrice Debbasch

We investigate the quantum transport of anyons in one space dimension. After establishing some universal features of non-equilibrium systems in contact with two heat reservoirs in a generalised Gibbs state, we focus on the abelian anyon…

Statistical Mechanics · Physics 2022-04-19 Mihail Mintchev , Paul Sorba

Electron transport experiments on two lateral quantum dots coupled in series are reviewed. An introduction to the charge stability diagram is given in terms of the electrochemical potentials of both dots. Resonant tunneling experiments show…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. G. van der Wiel , S. De Franceschi , J. M. Elzerman , T. Fujisawa , S. Tarucha , L. P. Kouwenhoven

We present a consistent method to calculate the probability distribution of soliton parameters in systems with additive noise. Even though a weak noise is considered, we are interested in probabilities of large fluctuations (generally…

Chaotic Dynamics · Physics 2009-10-31 G. Falkovich , I. Kolokolov , V. Lebedev , S. Turitsyn

Tunneling through two vertically coupled quantum dots is studied by means of a Pauli master equation model. The observation of double peaks in the current-voltage characteristic in a recent experiment is analyzed in terms of the tunnel…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. Sprekeler , G. Kiesslich , A. Wacker , E. Schoell

Quantum transport is often characterized not just by mean observables like the particle or energy current, but by their fluctuations and higher moments, which can act as detailed probes of the physical mechanisms at play. However,…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Ido Zemach , Andre Erpenbeck , Emanuel Gull , Guy Cohen
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