Time-dependent shot noise in multi-level quantum dot-based single-electron devices

Abstract

By means of three-dimensional self-consistent simulation, we investigate the time-and frequency-dependent shot noise in multi-level quantum dot (QD)-based double-tunnel junction by analyzing auto-correlation functions and distribution of waiting times between consecutive tunnel events through a given barrier. We derive analytic expressions for correlation and waiting time distributions (WTDs) in the case of a maximum of two electrons in the QD. We separate the contributions of the different evolution paths of the number of electrons in the dot between two consecutive current pulses, called 'basic paths'. The close relation revealed between probabilities, WTDs and correlation functions associated to basic paths allows a good understanding of the specific dynamics in spectral densities. The analytic results show a perfect agreement with those obtained from numerical Monte-Carlo simulation.

Waiting time distributions in a two-level fluctuator coupled to a superconducting charge detector

“…Electron waiting times have been investigated for a wide range of physical systems including quantum dots, [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] coherent conductors, 36,37 molecular junctions, 38,39 and superconducting systems. [40][41][42][43][44][45][46] Distributions of waiting times contain complementary information on charge transport properties which is not necessarily encoded in the full counting statistics (FCS) and vice versa.…”

Electron waiting times of a periodically driven single-electron turnstile

“…A series of works have focused on WTDs of electron transport through single or double quantum dots [25,27,[33][34][35][36][37][38][39][40]. Another line of research has been devoted to WTDs of mesoscopic conductors [28,41], including the influence of time-dependent perturbations [29,[42][43][44][45].…”

“…ries of works have focused on WTDs of electron transport through single or double quantum dots. 25,27,[33][34][35][36][37][38][39][40] Another line of research has been devoted to WTDs of mesoscopic conductors, 28,41 including the influence of timedependent perturbations. 29,[42][43][44][45] Distributions of waiting times have also been investigated for superconducting systems, 46,47 for instance in relation to Josephson junctions 48,49 and the detection of Majorana fermions.…”

Quantum theory of an electron waiting time clock

“…Theories of electron waiting times have been developed both for quantum transport in Coulomb-blockade structures 5,6,[11][12][13][14][15][16] and for mesoscopic conductors. 7,9,[17][18][19] Electron waiting times have also been investigated in relation to transient quantum transport 20,21 and for superconductors.…”