Acceleration techniques for semiclassical Maxwell–Bloch systems: An application to discrete quantum dot ensembles

Glosser, Connor; Lu, Elliot; Bertus, T. J.; Piermarocchi, Carlo; Shanker, B.

doi:10.1016/j.cpc.2020.107500

Cited by 4 publications

(2 citation statements)

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“…The numerical solution of such a large number of coupled and time-delayed nonlinear equations in a random medium is challenging [11,12], and our methods presented in detail in [13] amortize computational cost and convergence. In this approach, the nonlinear dynamics of each emitter and the field generated by the emitters' polarization are self-consistently computed, showing a rich phenomenology of short-and long-lived excitations and synchronized oscillations.…”

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confidence: 99%

“…Standard methods for solving this system of equations-such as RK4-are unstable. Our approach comprises adapting methods from discretizing time domain integral equations [19] and coupling these with a predictor corrector scheme to obtain a solution to the coupled Liouville equations [13,18]. At a given timestep t n , the algorithm guesses a value for ρi (t n+1 ), then evaluates F{ P(t n+1 )} and ρi (t n+1 ) to update ρi (t n+1 ) until convergence.…”

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confidence: 99%

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Transient dynamics of subradiance and superradiance in open optical ensembles

Lu¹,

Shanker²,

Piermarocchi³

2022

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We introduce a computational Maxwell-Bloch framework for investigating out of equilibrium optical emitters in open cavity-less systems. To do so, we compute the pulse-induced dynamics of each emitter from fundamental light-matter interactions and self-consistently calculate their radiative coupling, including phase inhomogeneity from propagation effects. This semiclassical framework is applied to open systems of quantum dots with different density and dipolar coupling. We observe that signatures of superradiant behavior, such as directionality and faster decay, are weak for systems with extensions comparable to λ/2. In contrast, subradiant features are robust and can produce long-term population trapping effects. This computational tool enables quantitative investigations of large optical ensembles in the time domain and could be used to design new systems with enhanced superradiant and subradiant properties.

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confidence: 99%