## Abstract

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 Schrödinger 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)].

Original language | English |
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Article number | 074703 |

Journal | Journal of Chemical Physics |

Volume | 123 |

Issue number | 7 |

DOIs | |

State | Published - 2005 |

### Bibliographical note

Funding Information:This work was supported by National Science Foundation Award No. CHE-0344930. I.R. wants to thank Alexei Akolzin for valuable comments and suggestions.

### Funding

This work was supported by National Science Foundation Award No. CHE-0344930. I.R. wants to thank Alexei Akolzin for valuable comments and suggestions.

Funders | Funder number |
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National Science Foundation | CHE-0344930 |