Wave propagation of Rabi oscillations in one-dimensional quantum dot chain

Collective spontaneous emission in coupled quantum dots: Physical mechanism of quantum nanoantenna

“…The parameters 12 and 12 are respectively the diagonal and off-diagonal matrix elements of the interaction energy operatorV ,V…”

“…Here e μ1 ,e μ2 are unit vectors along the QD transition dipole moments and e 12 = (r 2 − r 1 )/r 12 , k 0 = √ ε h ω 0 /c. The parameterh 12 in Eq. (6) is the dipole-dipole interaction energy between quantum dots coupled through the vacuum field.…”

“…The coupling parameters 12 and 12 determine the correlation properties of the multi-QD system and strongly depend on the inter-QD separation. Calculation of the Lamb shift is possible based on Eq.…”

“…This system behaves as a single four-level system with eigenstates |g = |g 1 |g 2 and |e = |e 1 |e 2 with energies E g = −hω 0 and E e =hω 0 , respectively, as well as the entangled states |s = 1 √ 2 (|e 1 |g 2 + |g 1 |e 2 ) and |a = 1 √ 2 (|e 1 |g 2 − |g 1 |e 2 ) with energies E s =h 12 and E a = −h 12 . The ground state |g and the fully excited state |e are not influenced by the dipole-dipole interaction, but the energy of the symmetric |s and the antisymmetric |a states are shifted from their unperturbed energies byh 12 . The symmetric and antisymmetric transitions are uncorrelated and decay with the rates s and a , respectively, s,a = ± 12 .…”

“…If the separation between the emitters, exemplified, e.g., by quantum dots (QDs), is small, there is a probability that the excitation can be transferred via charge tunneling [9][10][11][12][13] or long-range radiative interaction. 14 If the interemitter distance is a little bit longer, they are coupled by a near-field quasielectrostatic dipole-dipole (d-d) interaction, mostly referred to as the Förster energy transfer.…”