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Electron transport through a nanoscale system is an inherently stochastic quantum mechanical process. Electric current is a time series of electron tunnelling events separated by random intervals. Thermal and quantum noise are two sources…

介观与纳米尺度物理 · 物理学 2016-11-08 Samuel L. Rudge , Daniel S. Kosov

When electric current flows through a molecular junction, the molecule constantly charges and discharges by tunnelling electrons. These charging and discharging events occur at specific but random times and separated by stochastic time…

介观与纳米尺度物理 · 物理学 2019-01-15 Daniel S. Kosov

Time it takes to travel from one position to another, devoid of any quantum mechanical description, has been modeled variously, especially for quantum tunneling. The model time, if universally valid, must be subluminal, must hold everywhere…

量子物理 · 物理学 2020-01-20 Durmus Demir , Serkan Pacal

On the elementary level, electronic current consists of individual electron tunnelling events that are separated by random time intervals. The waiting time distribution is a probability to observe the electron transfer in the detector…

介观与纳米尺度物理 · 物理学 2017-02-21 Daniel S. Kosov

We calculate a tunneling time distribution by means of Nelson's quantum mechanics and investigate its statistical properties. The relationship between the average and deviation of tunneling time suggests the exsistence of ``wave-particle…

量子物理 · 物理学 2009-11-07 Koh'ichiro Hara , Ichiro Ohba

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the…

量子物理 · 物理学 2017-10-13 Durmus Demir , Tugrul Guner

Tunneling is one of the most bizarre phenomena in quantum mechanics. An attempt to understand it led to the next natural question of how long does a particle need to tunnel a barrier. The latter gave rise to several definitions such as the…

量子物理 · 物理学 2017-11-22 N. G. Kelkar

Quantum transport of electrons through a molecule is a series of individual electron tunnelling events separated by stochastic waiting time intervals. We study the emergence of temporal correlations between successive waiting times for the…

介观与纳米尺度物理 · 物理学 2017-09-19 Daniel S. Kosov

The traversal time for tunneling is a measure of the time during which the transmitted particle can be affected by interactions localized in the barrier. The Buttiker-Landauer approach, which estimates this time by imposing an internal…

凝聚态物理 · 物理学 2009-11-07 Michael Galperin , Abraham Nitzan , Uri Peskin

The transmission of wave packets through tunneling barriers is studied in detail by the method of quantum molecular dynamics. The distribution function of the times describing the arrival of a tunneling packet in front of and behind a…

量子物理 · 物理学 2009-10-31 Yu. Lozovik , A. Filinov

We formulate a quantum theory of electron waiting time distributions for charge transport in nano-structures described by non-Markovian generalized master equations. We illustrate our method by calculating the waiting time distribution of…

介观与纳米尺度物理 · 物理学 2013-03-18 Konrad H. Thomas , Christian Flindt

We propose a general expression for the probability distribution of real-valued tunneling times of a localized particle, as measured by the Salecker-Wigner-Peres quantum clock. This general expression is used to obtain the distribution of…

量子物理 · 物理学 2018-07-06 José T. Lunardi , Luiz A. Manzoni

We study electron transfer between two separated nuclei using local control theory. By conditioning the algorithm in a symmetric system formed by two protons, one can favored slow transfer processes, where tunneling is the main mechanism,…

量子物理 · 物理学 2018-04-18 Patricia Vindel-Zandbergen , Christoph Meier , Ignacio R. Sola

We present measurements of the time-dependent fluctuations in electrical current in a voltage-biased tunnel junction. We were able to simultaneously extract the first three moments of the tunnel current counting statistics. Detailed…

介观与纳米尺度物理 · 物理学 2008-04-12 Yu. Bomze , G. Gershon , D. Shovkun , L. S. Levitov , M. Reznikov

Electron transport in mesoscopic conductors has traditionally involved investigations of the mean current and the fluctuations of the current. A complementary view on charge transport is provided by the distribution of waiting times between…

介观与纳米尺度物理 · 物理学 2012-05-08 Mathias Albert , Géraldine Haack , Christian Flindt , Markus Büttiker

Distributions of electron waiting times have been measured in several recent experiments and have been shown to provide complementary information compared to what can be learned from the electric current fluctuations. Existing theories,…

介观与纳米尺度物理 · 物理学 2021-08-26 Philipp Stegmann , Björn Sothmann , Jürgen König , Christian Flindt

There remains the old question of how long a quantum particle takes to tunnel through a potential barrier higher than its incident kinetic energy. In this article a solution of the question is proposed on the basis of a realistic…

量子物理 · 物理学 2007-06-26 Wang Guowen

We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function…

量子物理 · 物理学 2009-10-31 Ken-Ichi Aoki , Atsushi Horikoshi , Etsuko Nakamura

The waiting time distribution has, in recent years, proven to be a useful statistical tool for characterising transport in nanoscale quantum transport. In particular, as opposed to moments of the distribution of transferred charge, which…

介观与纳米尺度物理 · 物理学 2019-03-27 Samuel L. Rudge , Daniel S. Kosov

We demonstrate how rate equations can be employed to find analytical expressions for the sequential tunneling current through a quantum dot as a function of the tunnel rates, for an arbitrary number of states involved. We apply this method…

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