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An experimental study of current fluctuations through a tunable transmission barrier, a quantum point contact, are reported. We measure the probability distribution function of transmitted charge with precision sufficient to extract the…

介观与纳米尺度物理 · 物理学 2009-11-13 G. Gershon , Yu. Bomze , E. V. Sukhorukov , M. Reznikov

This article is concerned with statistics of addition spectra for systems of identical charged particles. A classical model is suggested in order to study fluctuations of Coulomb blockade peak spacings in large two-dimensional semiconductor…

介观与纳米尺度物理 · 物理学 2009-10-31 Yshai Avishai , Daniel Berend , Richard Berkovits

Fluctuation of Coulomb blockade peak spacings in large two-dimensional semiconductor quantum dots are studied within a model based on the electrostatics of several electron islands among which there are random inductive and capacitive…

介观与纳米尺度物理 · 物理学 2009-10-31 Yshai Avishai , Daniel Berend , Richard Berkovits

The First Passage Time (FPT) is the time taken for a stochastic process to reach a desired threshold. In this letter we address the FPT of the stochastic measurement current in the case of continuously measured quantum systems. Our approach…

量子物理 · 物理学 2024-08-08 Michael J. Kewming , Anthony Kiely , Steve Campbell , Gabriel T. Landi

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

凝聚态物理 · 物理学 2007-05-23 L. S. Levitov , G. B. Lesovik

We investigate electron transport in two quantum circuits with mutual Coulomb interaction. The first circuit is a double quantum dot connected to two electron reservoirs, while the second one is a quantum point contact in the weak tunneling…

介观与纳米尺度物理 · 物理学 2015-10-29 Robert Hussein , Sigmund Kohler

We demonstrate that the probability distribution of the net number of electrons passing through a quantum system in a junction obeys a steady-state fluctuation theorem (FT) which can be tested experimentally by the full counting statistics…

介观与纳米尺度物理 · 物理学 2015-06-25 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

The influence of quantum fluctuations on electron transport through small metallic islands with Coulomb blockade effects is studied beyond the perturbative regime. In tunnel junctions with low resistance higher order coherent processes and…

凝聚态物理 · 物理学 2016-08-31 Jürgen König , Herbert Schoeller , Gerd Schön

We study the relaxation dynamics of electron distribution function on the island of a single electron transistor. We focus on the 'interaction without coherence regime in which an electron coherence can be neglected but quantum fluctuations…

介观与纳米尺度物理 · 物理学 2025-02-04 Ya. I. Rodionov I. S. Burmistrov N. M. Chtchelkatchev

We develop a method for deriving thermodynamic bounds for first-passage problems of currents with two boundaries in Markov chains. Using this method, we derive a thermodynamic bound on the rate of dissipation in terms of the splitting…

统计力学 · 物理学 2025-12-23 Adarsh Raghu , Izaak Neri

We consider a quantum dot system whose charge fluctuations are monitored by a quantum point contact allowing for the detection of both charge and transferred heat statistics. Our system consists of two nearby conductors that exchange energy…

介观与纳米尺度物理 · 物理学 2013-12-24 Rafael Sánchez , Markus Büttiker

The charge carrier drift mobility in disordered semiconductors is commonly graphically extracted from time-of-flight (ToF) photocurrent transients yielding a single transit time. However, the term transit time is ambiguously defined and…

无序系统与神经网络 · 物理学 2014-05-23 Jens Lorrmann , Manuel Ruf , David Vocke , Vladimir Dyakonov , Carsten Deibel

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…

凝聚态物理 · 物理学 2009-10-22 Eugene Kogan , Moshe Kaveh

The distribution of the first-passage time (FPT)$T_a$ for a Brownian particle with drift $\mu$ subject to hitting an absorber at a level $a>0$ is well-known and given by its density $\gamma(t) = \frac{a}{\sqrt{2 \pi t^3} } e^{-\frac{(a-\mu…

统计力学 · 物理学 2024-09-04 Alain Mazzolo

Classical First-Passage-Time Distributions (FPTDs) have been extensively studied both theoretically and experimentally. Their quantum counterparts, Quantum First-Passage-Time Distributions (QFPTDs), remain largely unexplored and have deep…

We present a Floquet scattering theory of electron waiting time distributions in periodically driven quantum conductors. We employ a second-quantized formulation that allows us to relate the waiting time distribution to the Floquet…

介观与纳米尺度物理 · 物理学 2014-04-10 David Dasenbrook , Christian Flindt , Markus Büttiker

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 study full counting statistics of electron tunneling in Coulomb-blockade systems in the limit of short measuring-time intervals. This limit is particularly suited to identify correlations among tunneling events, but only when analyzing…

介观与纳米尺度物理 · 物理学 2016-09-27 Philipp Stegmann , Jürgen König

We investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

量子物理 · 物理学 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

The first-passage time (FPT), i.e., the moment when a stochastic process reaches a given threshold value for the first time, is a fundamental mathematical concept with immediate applications. In particular, it quantifies the statistics of…

亚细胞过程 · 定量生物学 2018-12-05 Denis S. Grebenkov , Ralf Metzler , Gleb Oshanin