Influence of Förster interaction on light emission statistics in hybrid systems

Abstract

We investigate the influence of the Förster interaction between semiconductor quantum dots on the quantum light emission in proximity to a metal nanoparticle. A fully quantized theory for the excitons in the quantum dots, the plasmons in metal nanoparticles, and their interaction is used. Using an operator equation approach, we derive the Rayleigh emission spectra and the corresponding quantum statistics of the emission. For both observables, we investigate the influence of the exciton-plasmon coupling and the Förster interaction between the semiconductor quantum dots. Surprisingly, the influence of the Förster interaction is barely seen in the Rayleigh spectra whereas the second-order correlation function is strongly affected. In particular, we show that the Förster interaction is capable to tune the emission statistics: depending on the system parameters, the Förster interaction between the semiconductor quantum dots induces strong bunching and antibunching of the emission, respectively. We analyze the quasiparticles formed in the coupled system to explain the observed features.

Plasmon-enhanced molecular electroluminescence: Effects of nonlinear excitation and molecular cooperativity

“…Changing to a situation below the threshold, a more rigorous theory, such as the cavity quantum electrodynamics (QED), should be used (see, for example, [14] and references therein). By extending our earlier description to the case of multiple plasmon excitations and a few molecules we arrive at a * yyzhang@physik.hu-berlin.de † may@physik.hu-berlin.de description similar to the cavity QED.…”

Metal–Semiconductor Nanoparticle Hybrids Formed by Self-Organization: A Platform to Address Exciton–Plasmon Coupling

“…The temporal behavior of the coupled quantum system, starting from the coherent drive of the interacting exciton and plasmon dipoles by the laser field and ending in the collective damping of the coupled dipoles, is computed by evaluating the time evolution of the density matrix. We used an operator equation formalism yielding a hierarchy of equations 31,33 . Since plasmons are bosons, multiple excitations of the plasmon mode need to be included by introducing plasmon number states.…”

Efficient and exact numerical approach for many multi-level systems in open system CQED

“…Completely analogous we introduce n 10 , n 01 , n 00 and u 10 , u 01 , u 00 for the other three cases. These quantities obey the relations = + + + ( ) N n n n n 2.18 11 Please note that n 00 and u 00 do not enter this expression: as in the definition of the excited state (vector) basis (2.12), we can omit the two-level systems that are in the ground state, because the total number of two-level systems is fixed and thus the information about the ground state two-level systems can be recovered (from (2.18) and (2.19)). An important quantity is the number of basis elements for fixed n 11 , n 10 , n 01 but variable sets u 11 , u 10 , u 01 .…”

“…In quantum optics many two-level systems interacting with quantized electromagnetic/cavity modes are extensively studied in contexts as diverse as superradiance, entanglement, lasing, nonclassical light generation, higher harmonic generation, quantum phase transitions and quantum information processing [1][2][3][4][5][6][7][8][9][10]. Such model systems were recently also applied in the context of quantum plasmonics [11], especially in the context of spasers [12]. In all these fields two-level systems are used to describe systems as diverse as real spins, NV centers [3], qbits [5,6], SQUIDS [6], quantum dots [7,8], molecules [12], etc.…”

“…We proceed by writing is the set u 11 including the additional element k. The rhs of (2.25) consists of three sums over two-level system labels i. These sums have n 00 , + n n 11 10 , and + n n 11 01 summands regardless of the specific sets of unique two-level system labels u ,... 11 . In fact the whole equation does not depend on the specific sets as long as the parameter of the Liouvillian γ is the same for all two-level systems.…”