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Electronic transport properties for single-molecule junctions have been widely measured by several techniques, including mechanically controllable break junctions, electromigration break junctions or by means of scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Ferdinand Evers , Richard Korytár , Sumit Tewari , Jan M. van Ruitenbeek

In the arrival time problem in quantum mechanics, a standard formula that frequently emerges as the probability for crossing the origin during a given time interval is the current integrated over that time interval. This is semiclassically…

Quantum Physics · Physics 2015-05-13 J. J. Halliwell , J. M. Yearsley

A new statistical model of charge transport in colloidal quantum dot arrays is proposed. It takes into account Coulomb blockade forbidding multiple occupancy of nanocrystals and influence of energetic disorder of interdot space. The model…

Disordered Systems and Neural Networks · Physics 2010-08-25 Renat T. Sibatov

Filtration, flow in narrow channels and traffic flow are examples of processes subject to blocking when the channel conveying the particles becomes too crowded. If the blockage is temporary, which means that after a finite time the channel…

Statistical Mechanics · Physics 2018-08-01 G. Page , J. Resing , P. Viot , J. Talbot

Since its introduction, some sixty years ago, the Montroll-Weiss continuous time random walk has found numerous applications due its ease of use and ability to describe both regular and anomalous diffusion. Yet, despite its broad…

Statistical Mechanics · Physics 2023-09-14 Maxence Arutkin , Shlomi Reuveni

We investigate the transient nonequilibrium dynamics of a molecular junction biased by a finite voltage and strongly coupled to internal vibrational degrees of freedom. Using two different, numerical exact techniques, diagrammatic Monte…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 Klaus Ferdinand Albrecht , Haobin Wang , Lothar Muehlbacher , Michael Thoss , Andreas Komnik

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Sungguen Ryu , H. -S. Sim

Breaking of an atomic chain under stress is a collective many-particle tunneling phenomenon. We study classical dynamics in imaginary time by using conformal mapping technique, and derive an analytic formula for the probability of breaking.…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , A. V. Shytov , A. Yu. Yakovets

We study the switching behavior of two spin-crossover molecules residing in a nanojunction device consisting of two closely spaced gold electrodes. The spin states are monitored through a real-time measurement of the resistance of the…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Philipp Stegmann , Alex Gee , Neil T. Kemp , Jürgen König

In this paper, we consider the momentum operator of a quantum particle directed along the displacement of two of its neighbors. A modified open-path path integral molecular dynamics is presented to sample the distribution of this…

Quantum Physics · Physics 2020-10-07 Yantao Wu , Roberto Car

This work explores a synchronization-like phenomenon induced by common noise for continuous-time Markov jump processes given by chemical reaction networks. A corresponding random dynamical system is formulated in a two-step procedure, at…

Dynamical Systems · Mathematics 2022-07-05 Maximilian Engel , Guillermo Olicón-Méndez , Nathalie Unger , Stefanie Winkelmann

Classical metastability manifests as noise-driven switching between disjoint basins of attraction and slowing down of relaxation, quantum systems like qubits and Rydberg atoms exhibit analogous behavior through collective quantum jumps and…

Quantum Physics · Physics 2026-04-28 Ya-Xin Xiang , Weibin Li , Zhengyang Bai , Yu-Qiang Ma

We have studied the Waiting Time Distributions (WTDs) for sub-gap transport through a single-level quantum dot tunnel coupled to one normal and one superconducting lead. The WTDs reveal the internal dynamics of the system in particular the…

Mesoscale and Nanoscale Physics · Physics 2013-08-23 Leila Rajabi , Christina Pöltl , Michele Governale

We investigate the distribution of occupation times for a particle undergoing a random walk among random energy traps and in the presence of a deterministic potential field $U^{{\rm det}}(x)$. When the distribution of energy traps is…

Statistical Mechanics · Physics 2009-11-11 S. Burov , E. Barkai

We evaluate the distribution of waiting times between electrons emitted by a driven mesoscopic capacitor. Based on a wave packet approach we obtain analytic expressions for the electronic waiting time distribution and the joint distribution…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Patrick P. Hofer , David Dasenbrook , Christian Flindt

We investigate the time an electronic excitation travels in a supermolecular setup using a measurement process in an open quantum-system framework. The approach is based on the stochastic Schr\"odinger equation and uses a Hamiltonian from…

Materials Science · Physics 2013-12-09 Dirk Hofmann , Heiko Appel , Massimiliano Di Ventra , Stephan Kümmel

We consider sample to sample fluctuations of the waiting time between the detection of two consecutive electrons in quasi-one-dimensional disordered conductors at zero temperature. We compute the full distribution of the mean waiting time…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 Ferdinand Schulz , Mathias Albert

A clear consensus on how long it takes a particle to tunnel through a potential barrier has never been so urgently required, since the electron dynamics in strong-field ionization can be resolved on attosecond time-scale in experiment and…

Atomic Physics · Physics 2019-03-19 Xiaolei Hao , Zheng Shu , Weidong Li , Jing Chen

Time-resolved resonance fluorescence (RF) is used to analyse electron tunneling between a single self-assembled quantum dot (QD) and an electron reservoir. In equilibrium, the RF intensity reflects the average electron occupation of the QD…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 A. Kurzmann , B. Merkel , P. A. Labud , A. Ludwig , A. D. Wieck , A. Lorke , M. Geller

We investigate an M/M/1 queue operating in two switching environments, where the switch is governed by a two-state time-homogeneous Markov chain. This model allows to describe a system that is subject to regular operating phases alternating…

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