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We present a theory that efficiently describes the quantum dynamics of an electronic excitation that is coupled to a continuous, highly structured phonon environment. Based on a stochastic approach to non-Markovian open quantum systems, we…

Quantum Physics · Physics 2009-11-05 Jan Roden , Alexander Eisfeld , Wolfgang Wolff , Walter T. Strunz

In this paper, we investigate the quantum transport of a double quantum dot coupled with a nanomechanical resonator at arbitrary strong electron-phonon coupling regimes. We employ the generalized quantum master equation to study full…

Mesoscale and Nanoscale Physics · Physics 2012-04-22 Chen Wang , Jie Ren , Baowen Li , Qing-Hu Chen

We optimize the operation of single-electron charge pumps using full counting statistics techniques. To this end, we evaluate the statistics of pumped charge on a wide range of driving frequencies using Floquet theory, focusing here on the…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Elina Potanina , Kay Brandner , Christian Flindt

We study the Coulomb blockade in a chaotic quantum dot connected to a lead by a single channel at nearly perfect transmission. We take into account quantum fluctuations of the dot charge and a finite level spacing for electron states within…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. L. Aleiner , L. I. Glazman

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 analyze the full counting statistics (FCS) of a single-site quantum dot coupled to multiple metallic electrodes in the normal state and a superconductor for arbitrary transmission. We present an analytical solution of the problem taking…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 H. Soller , A. Komnik

We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime - a hierarchical sequence of avalanches of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , M. E. Raikh , Felix von Oppen

We consider the dependence of the electron transfer in photosynthetic complexes on correlation properties of random fluctuations of the protein environment. The electron subsystem is modeled by a finite network of connected electron…

Biological Physics · Physics 2015-06-23 Alexander I. Nesterov , Gennady P. Berman

The generating function of energy counting statistics is derived for phononic junction systems. It is expressed in terms of the contour-ordered self-energy of the lead with shifted arguments, $\Sigma^A(\tau, \tau') = \Sigma_L\bigl(\tau…

Statistical Mechanics · Physics 2011-11-29 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li

Outcomes of measurements are characterized by an infinite family of generalized uncertainties, or cumulants, which provide information beyond the mean and variance of the observable. Here, we investigate the cumulants of a conserved charge…

Strongly Correlated Electrons · Physics 2023-03-28 Clément Berthiere , Benoit Estienne , Jean-Marie Stéphan , William Witczak-Krempa

In our previous publication [Kogan et al, Phys. Rev. {\bf 48}, 9404 (1993)] we considered the issue of statistics of radiation diffusively propagating in a disordered medium. The consideration was in the framework of diagrammatic techniques…

Condensed Matter · Physics 2009-10-22 Eugene Kogan , Moshe Kaveh

Fluctuation theorems are one of the pillars of non-equilibrium thermodynamics. Broadly speaking, they concern the statistical distribution of quantities such as heat, work or entropy production. Quantum experiments, however, usually can…

We derive analytical expressions for the correlation functions of the electronic conductance fluctuations of an open quantum dot under several conditions. Both the variation of energy and that of an external parameter such as an applied…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 J. G. G. S. Ramos , A. L. R. Barbosa , B. V. Carlson , T. Frederico , M. S. Hussein

At Coulomb blockade valleys inelastic cotunneling processes generate particle-hole excitations in quantum dots (QDs), and lead to energy dissipation. We have analyzed the probability distribution function (PDF) of energy dissipated in a QD…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Yehuda Dinaii , Alexander Shnirman , Yuval Gefen

Many molecular junctions display stochastic telegraphic switching between two distinct current values, which is therefore an important source of fluctuations in nanoscale quantum transport. We investigate electronic fluctuations arising via…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Samuel L. Rudge , Daniel S. Kosov

Two-level electron-phonon systems with reflection symmetry linearly coupled to one or two phonon modes (exciton and E$\otimes(b_1+b_2)$ Jahn-Teller model) exhibit strong enhancement of quantum fluctuations of the phonon coordinates and…

Other Condensed Matter · Physics 2007-05-23 E. Majernikova , V. Majernik , S. Shpyrko

We derive the full distribution of transmitted particles through a superconducting point contact of arbitrary transparency under voltage bias. The charge transport is dominated by multiple Andreev reflections. The counting statistics is a…

Superconductivity · Physics 2009-11-10 J. C. Cuevas , W. Belzig

As a fundamental measure of stability in nonequilibrium thermodynamics, fluctuations provide critical insight into the performance and reliability of heat engines. In this work, we establish universal fluctuation-dissipation bounds that…

Statistical Mechanics · Physics 2026-01-13 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Jie Li , Jincan Chen , Shanhe Su

We report the inclusion of phonon scattering to our recently established numerical package QmeQ for transport in quantum dot systems. This enables straightforward calculations for a large variety of devices. As examples we show (i)…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 B. Goldozian , G. Kiršanskas , F. A. Damtie , A. Wacker

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev
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