Waiting Time Distributions for the Transport through a Quantum-Dot Tunnel Coupled to One Normal and One Superconducting Lead

Rajabi, Leila; Pöltl, Christina; Governale, Michele

doi:10.1103/physrevlett.111.067002

Cited by 72 publications

(75 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Waiting-time distributions have been studied for systems that can be described by generalized master equations [50][51][52][53][54][55], by scattering matrix theory [56][57][58][59], as well as in terms of noninteracting tight-binding chains [60]. Waiting times were shown to provide information about the short-time behavior of transport processes that cannot be obtained from other quantities such as the zero-frequency current noise or the full counting statistics: While the noise of an open quantum point contact vanishes, its waiting-time distribution contains information about the Pauli repulsion of electrons and the average spacing of incoming electron packets inversely proportional to the applied voltage [56].…”

Section: Introductionmentioning

confidence: 99%

Electronic waiting-time distribution of a quantum-dot spin valve

Sothmann

2014

Phys. Rev. B

View full text Add to dashboard Cite

We discuss the electronic waiting-time distribution of a quantum-dot spin valve, i.e. a single-level quantum dot coupled to two ferromagnetic electrodes with magnetizations that can point in arbitrary directions. We demonstrate that the rich transport physics of this setup such as dynamical channel blockade and spin precession in an interaction-driven exchange field shows up in the waiting-time distribution and analyze the conditions necessary to observe the various effects.Comment: 7 pages, 5 figures, published versio

show abstract

Section: Introductionmentioning

confidence: 99%

Electronic waiting-time distribution of a quantum-dot spin valve

Sothmann

2014

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…The concept of waiting time distributions (WTDs) is well known in the field of quantum optics and stochastic processes [8] but has been more recently introduced in electronic transport [9]. Here it has been studied in the incoherent regime using master equations both within Markovian [9][10][11] and non-Markovian [12] approximations. The extension of these studies to the coherent (but noninteracting) regime is a quite recent development.…”

Section: Introductionmentioning

confidence: 99%

Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime

et al. 2015

View full text Add to dashboard Cite

We develop a theoretical approach to study the transient dynamics and the time-dependent statistics for the Anderson-Holstein model in the regime of strong electron-phonon coupling. For this purpose we adapt a recently introduced diagrammatic approach to the time domain. The generating function for the time-dependent charge transfer probabilities is evaluated numerically by discretizing the Keldysh contour. The method allows us to analyze the system evolution to the steady state after a sudden connection of the dot to the leads, starting from different initial conditions. Simple analytical results are obtained in the regime of very short times. We study in particular the apparent bistable behavior occurring for strong electron-phonon coupling, small bias voltages, and a detuned dot level. The results obtained are in remarkably good agreement with numerically exact results obtained by quantum Monte Carlo methods. We analyze the waiting time distribution and charge transfer probabilities, showing that only a single electron transfer is responsible for the rich structure found in the short-time regime. A universal scaling (independent of the model parameters) is found for the relative amplitude of the higher order current cumulants in the short-time regime, starting from an initially empty dot. We finally analyze the convergence to the steady state of the differential conductance and of the differential Fano factor at the inelastic threshold, which exhibits a peculiar oscillatory behavior.

show abstract

“…16 This quantity has been extensively studied in quantum optics 17,18 long time ago which can provide us new insight of quantum correlation on the short time scale. Recently a scattering quantum theory for WTD was formulated by Albert et al that can be used to study WTD of dc electronic quantum transport 19,20 and has been extended to steady state ac regime. 21 Despite of the success of this quantum theory, there are many open questions remained to be answered.…”

Section: Introductionmentioning

confidence: 99%

Waiting time distribution of quantum electronic transport in the transient regime

Tang

Wang

2014

Phys. Rev. B

View full text Add to dashboard Cite

Waiting time is an important transport quantity that is complementary to average current and its fluctuation. So far all the studies of waiting time distribution (WTD) are limited to steady state transport (either dc or ac). The existing theory can not deal with WTD in the transient regime. In this regard, we develop a theoretical formalism based on Keldysh non-equilibrium Green's functions formalism to study WTD. This theory is suitable for dc, ac, and transient transport and can be used for first principles calculation on realistic systems. We apply this theory to a quantum dot system with a upward bias pulse and calculate cumulants of transferred charge as well as WTD in the transient regime. The oscillatory behavior of WTD is found in the transient regime. We give a general relation between WTD and experimental measured quantity and demonstrate its feasibility for a quantum dot system in the transient regime.

show abstract

Waiting Time Distributions for the Transport through a Quantum-Dot Tunnel Coupled to One Normal and One Superconducting Lead

Cited by 72 publications

References 36 publications

Electronic waiting-time distribution of a quantum-dot spin valve

Electronic waiting-time distribution of a quantum-dot spin valve

Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime

Waiting time distribution of quantum electronic transport in the transient regime

Contact Info

Product

Resources

About