Control photon emission from a single molecule source with an rf field

Tasos Fasoulakis

Takahiro Kaji

Igor Rozhkov, Eli Barkai

The photon emission from a single molecule driven simultaneously by a laser and a slow electric radio frequency (rf) field is studied. We use a non-Hermitian Hamiltonian approach which accounts for the radiative decay of a two level system modeling a single molecule source. We apply the renormalization group method for differential equations to obtain long time solution of the corresponding Schrdinger equation, which allows us to calculate the average waiting time for the first photon emission. Then, we analyze the conditions for suppression and enhancement of photon emission in this dissipative two-level system. In particular we derive a transcendental equation, which yields the non-trivial rf field control parameters, for which enhancement and suppression of photon emission occurs. For finite values of radiative decay rate an abrupt transition from the molecule's localization in its ground state to delocalization is found for certain critical values of the rf field parameters. Our results are shown to be in agreement with the available experiments [Ch. Brunel et al, Phys. Rev. Lett. 81, 2679 (1998)].

Igor Rozhkov, Eli Barkai

The photon emission from a single molecule driven simultaneously by a laser and a slow electric radio frequency (rf) field is studied. We use a non-Hermitian Hamiltonian approach which accounts for the radiative decay of a two-level system modeling the single-molecule source. We apply the renormalization group method for differential equations to obtain long time solution of the corresponding Schrodinger equation, which allows us to calculate the average waiting time for the first photon emission. Then, we analyze the conditions for suppression and enhancement of photon emission in this dissipative two-level system. In particular we derive a transcendental equation, which yields the nontrivial rf field control parameters, for which enhancement and suppression of photon emission occurs. For finite values of radiative decay rate an abrupt transition to the state when both situations are indistinguishable is found for certain values of the rf field parameters. Our results are shown to be in agreement with the available experiments [Ch. Brunel et al., Phys. Rev. Lett. 81, 2679 (1998)].

Ch. Brunel, Philippe Tamarat, Brahim Lounis +1 more

Baiping Han, Yujun Zheng

We consider the photon spontaneous emission of single molecules in a solid matrix with spectral diffusion. A general theoretical strategy for calculating the photon emission statistics in a solid matrix of single molecules is derived. In particular, the control photon emission from single molecules in a solid matrix driven simultaneously by a laser and an electric radiofrequency (rf) field is investigated. The photon emission of single molecules can be modulated by an rf field. The formulation also allows for the study of the average waiting time for the emission event of a single molecule.