2017
DOI: 10.1103/physrevb.96.245306
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Phonon impact on optical control schemes of quantum dots: Role of quantum dot geometry and symmetry

Abstract: Phonons strongly influence the optical control of semiconductor quantum dots. When modeling the electron-phonon interaction in several theoretical approaches the quantum dot geometry is approximated by a spherical structure, though typical self-assembled quantum dots are strongly lens-shaped. By explicitly comparing simulations of a spherical and a lens-shaped dot using a wellestablished correlation expansion approach we show that indeed lens-shaped dots can be exactly mapped to a spherical geometry when study… Show more

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Cited by 34 publications
(50 citation statements)
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“…2(a) and the simulations in 2(b). Note, that the dimensions of the exciton a e and a h are a spherical representations of the exciton, which leads to the same physical results as a lens-shaped model [49]. Therefore, these sizes must not be seen as the real size of the exciton wave function.…”
Section: Resultsmentioning
confidence: 98%
“…2(a) and the simulations in 2(b). Note, that the dimensions of the exciton a e and a h are a spherical representations of the exciton, which leads to the same physical results as a lens-shaped model [49]. Therefore, these sizes must not be seen as the real size of the exciton wave function.…”
Section: Resultsmentioning
confidence: 98%
“…The cluster-expansion techniques allows to investigate the impact of different geometries of the QD in state-preparation protocols. For example the electron-phonon coupling of a spherical QD and a more realistic lens-shaped QD can explicitly be compared [96]. Interestingly, the numerical analysis shows that the QD (electronic) dynamics is hardly influenced on the actual nanostructure geometry, cf.…”
Section: Phonon-assisted Damping Of Rabi Oscillations and State Prmentioning
confidence: 99%
“…The explicit form of the coupling matrix elements for different mechanisms can be found, e.g. in Refs [14,24,76,93].…”
Section: Carrier-phonon Interactionmentioning
confidence: 99%
“…The phonon spectral density for the flat QD has a larger ω-extension than found for the spherical QD in Figure 1 because its smallest spatial confinement corresponding to its height is smaller than the QD radius in the spherical case and thus phonons with higher energies are coupled. It should be noted, however, that since JðωÞ is a single function of a single real parameter, for any given JðωÞ (no matter whether it has been calculated for a spherical or a non-spherical QD) it is always possible to find a spherical QD model that yields the same phonon spectral density [93]. This is an important observation since from the formal representation of the dynamics within the path-integral formalism [97] it is readily seen that all phonon influences on the dynamics of the reduced electronic density matrix for a strongly confined system are mediated by JðωÞ.…”
Section: Carrier-phonon Interactionmentioning
confidence: 99%