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An approach to experimentally exploring electronic correlation functions in mesoscopic regimes is proposed. The idea is to monitor the mesoscopic fluctuations of a tunneling current flowing between the two layers of a semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , Martin Janssen

The driving force of the dynamical system can be decomposed into the gradient of a potential landscape and curl flux (current). The fluctuation-dissipation theorem (FDT) is often applied to near equilibrium systems with detailed balance.…

Statistical Mechanics · Physics 2015-05-30 Haidong Feng , Jin Wang

We study a discrete stochastic model of a molecular motor. This discrete model can be viewed as a \emph{minimal} ratchet model. We extend our previous work on this model, by further investigating the constraints imposed by the Fluctuation…

Statistical Mechanics · Physics 2009-11-13 D. Lacoste , A. W. C. Lau , K. Mallick

We study electronic transport through a strongly interacting quantum dot by using the finite temperature extension of Wilson's numerical renormalization group (NRG) method. This allows the linear conductance to be calculated at all…

Strongly Correlated Electrons · Physics 2007-05-23 T. A. Costi

We analytically study the role of nonconservative forces, namely viscous couplings, on the statistical properties of the energy flux between two Brownian particles kept at different temperatures. From the dynamical model describing the…

Statistical Mechanics · Physics 2016-12-01 Antoine Bérut , Alberto Imparato , Artyom Petrosyan , Sergio Ciliberto

This paper investigates the dynamics of current and quantum transport factor in a bosonic system consisting of a central system interacting with two reservoirs at different temperatures. We derive a master equation describing the time…

Quantum Physics · Physics 2025-01-06 Jayarshi Bhattacharya , Sunandan Gangopadhyay , Gautam Gangopadhyay

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

We explore the quantum correlations, fidelity and quantum thermodynamics of two coupled double quantum dots containing two excess electrons. In this regard, we investigate and compare the evolution of those measures under thermal effects…

Quantum Physics · Physics 2023-10-26 Mohamed Amazioug , Mohammed Daoud

Non-equilibrium quantum transport is crucial to technological advances ranging from nanoelectronics to thermal management. In essence, it deals with the coherent transfer of energy and (quasi-)particles through quantum channels between…

We study fluctuations of conductance of two connected in series dots in the Coulomb blockade regime. The pattern of the fluctuations turns out to be extremely sensitive to a magnetic field. These conductance fluctuations also provide…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kaminski , L. I. Glazman

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

Nonlinear multimode optical systems have attracted substantial attention due to their rich physical properties. Complex interplay between the nonlinear effects and mode couplings makes it difficult to understand the collective dynamics of…

We develop a new semiclassical approach, which starts with the density matrix given by the Euclidean time path integral with fixed coinciding endpoints, and proceed by identifying classical (minimal Euclidean action) path, to be referred to…

High Energy Physics - Theory · Physics 2016-06-01 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

We consider stochastic motion of a particle on a cyclic graph with arbitrarily periodic time dependent kinetic rates. We demonstrate duality relations for statistics of currents in this model and in its continuous version of a diffusion in…

Statistical Mechanics · Physics 2015-03-19 Jie Ren , V. Y. Chernyak , N. A. Sinitsyn

We study the non-equilibrium (NE) fluctuation-dissipation (FD) relations in the context of quantum thermoelectric transport through a two-terminal nanodevice in the steady-state. The FD relations for the one- and two-particle correlation…

Statistical Mechanics · Physics 2014-04-17 H. Ness , L. K. Dash

The electronic transport in a system of two quantum rings side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We derived analytical expressions for the conductance, density of states and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. A. Orellana , M. Pacheco

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

We investigate the charge fluctuations of a large quantum dot coupled to a two-dimensional electron gas via a quantum point contact following the work of Matveev. We limit our discussion to the case where exactly two channels enter the dot…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Karyn Le Hur , Georg Seelig

The transport of molecules through biological and synthetic nanopores is governed by multiple stochastic processes that lead to noisy, fluctuating currents. Disentangling the characteristics of different noise-generating mechanisms is…

Soft Condensed Matter · Physics 2024-10-03 Stuart F. Knowles , Eleanor K. R. Mackay , Alice L. Thorneywork