Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots

Petrov, M. Yu.; Yakovlev, S. V.

doi:10.1134/s1063776112060131

Cited by 18 publications

(50 citation statements)

References 14 publications

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“…One of the main objectives of this paper is to clarify the dynamics of the emerging mode-locking conditions based on an analytical argument as well as a detailed analysis of the full numerical simulation. We show that some of the basic features of forming a nonequilibrium distribution function of the Overhauser field predicted by Petrov and Yakovlev [18] prevails for the proper quantum mechanical treatment of the trion decay based on a Lindblad approach.…”

Section: Introductionmentioning

confidence: 78%

“…During the Larmor precession of the | ↓ -state, the trion state decays back to | ↑ under emission of light at a decay time 1/γ which is typically 0.1 − 0.2T * . Clearly, this process must be treated quantum mechanically by a Lindblad approach even though a simplified approach has recently been proposed [18].…”

Section: B Methodsmentioning

confidence: 99%

“…Alternatively, one can map the dynamics onto a set of classical equations of motion [5,12,23] which shows remarkably good agreement with the full quantum mechanical treatment [10] but is easily extendable to a large number of spins. Below, we address the key challenge of how to combine quantum and classical calculations in a systematic way to incorporate the formation on a nonequilibrium density distribution of the Overhauser field [18] which is the origin of the self-focusing experimentally observed by Greilich et al [8].…”

Section: B Methodsmentioning

confidence: 99%

“…Several different distributions have been used for the CSM [6,7,10,17,28], ranging from the simple box model [18] which assumes equal coupling constants a k = a = 1/ √ N , ∀k, to the more elaborate distributions of coupling constants p(a k ) [4,6,7,17].…”

Section: A Distributions Of Hyperfine Couplingsmentioning

confidence: 99%

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Nonequilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

et al. 2017

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Electron spin dephasing in a singly charged semiconductor quantum dot can partially be suppressed by periodic laser pulsing. We propose a semi-classical approach describing the decoherence of the electron spin polarization governed by the hyperfine interaction with the nuclear spins as well as the probabilistic nature of the photon absorption. We use the steady-state Floquet condition to analytically derive two subclasses of resonance conditions excellently predicting the peak locations in the part of the Overhauser field distribution which is projected in the direction of the external magnetic field. As a consequence of the periodic pulsing, a non-equilibrium distribution develops as a function of time. The numerical simulation of the coupled dynamics reveals the influence of the hyperfine coupling constant distribution onto the evolution of the electron spin polarisation before the next laser pulse. Experimental indications are provided for both subclasses of resonance conditions.

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Section: Introductionmentioning

confidence: 78%

Section: B Methodsmentioning

confidence: 99%

Section: B Methodsmentioning

confidence: 99%

Section: A Distributions Of Hyperfine Couplingsmentioning

confidence: 99%

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Nonequilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

et al. 2017

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“…The approach is straightforwardly extended to finite external magnetic fields acting on the central spin or on the bath spins. In particular, studies of pulsed quantum dots in external magnetic fields are called for [7,8,21,[52][53][54].…”

Section: Discussionmentioning

confidence: 99%

Efficient algorithms for the dynamics of large and infinite classical central spin models

et al. 2017

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We investigate the time dependence of correlation functions in the central spin model, which describes the electron or hole spin confined in a quantum dot, interacting with a bath of nuclear spins forming the Overhauser field. For large baths, a classical description of the model yields quantitatively correct results. We develop and apply various algorithms in order to capture the longtime limit of the central spin for bath sizes from 1000 to infinitely many bath spins. Representing the Overhauser field in terms of orthogonal polynomials, we show that a carefully reduced set of differential equations is sufficient to compute the spin correlations of the full problem up to very long times, for instance up to 10 5 /JQ where JQ is the natural energy unit of the system. This technical progress renders an analysis of the model with experimentally relevant parameters possible. We benchmark the results of the algorithms with exact data for a small number of bath spins and we predict how the long-time correlations behave for different effective numbers of bath spins.

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Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots

2020

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Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots

Cited by 18 publications

References 14 publications

Nonequilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

Nonequilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

Efficient algorithms for the dynamics of large and infinite classical central spin models

Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots

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