Coherent time-dependent oscillations and temporal correlations in triangular triple quantum dots

Rudge, Samuel L., and Kosov, Daniel S. (2021) Coherent time-dependent oscillations and temporal correlations in triangular triple quantum dots. Physical Review B, 104. 165307.

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The fluctuation behavior of triple quantum dots (TQDs) has, so far, largely focused on current cumulants in the long-time limit via full counting statistics. Given that TQDs are nontrivial open quantum systems with many interesting features, such as Aharonov-Bohm interference and coherent population blocking, new fluctuating- time statistics, such as the waiting time distribution (WTD), may provide more information than just the current cumulants alone. In this paper, we use a Born-Markov master equation to calculate the standard and higher-order WTDs for coherently coupled TQDs arrayed in triangular ring geometries for several transport regimes. In all cases, we find that the WTD displays coherent oscillations that correspond directly to individual time-dependent dot occupation probabilities, a result also reported recently [G. Engelhardt and J. Cao, Phys. Rev. B 99, 075436 (2019)]. Our analysis, however, goes beyond the single-occupancy and single waiting time regimes, investigating waiting time behavior for TQDs occupied by multiple electrons and with finite electron-electron interactions. We demonstrate that in these regimes of higher occupancy, quantum coherent effects introduce correlations between successive waiting times, which we can tune via an applied magnetic field. We also show that correlations can be used to distinguish between TQD configurations that have identical full counting statistics and that dark states can be tuned with Aharonov-Bohm interference for more complicated regimes than single occupancy.

Item ID: 69824
Item Type: Article (Research - C1)
ISSN: 2469-9969
Copyright Information: © 2021 American Physical Society
Date Deposited: 04 Nov 2021 01:22
FoR Codes: 51 PHYSICAL SCIENCES > 5104 Condensed matter physics > 510499 Condensed matter physics not elsewhere classified @ 100%
SEO Codes: 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280120 Expanding knowledge in the physical sciences @ 100%
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