Coherent Destruction of Photon Emission from a Single Molecule Source: A Renormalization Group Approach

TL;DR

This paper investigates how a combination of laser and radio frequency fields can control photon emission from a single molecule, revealing conditions for emission suppression and enhancement using a renormalization group approach.

Contribution

It introduces a renormalization group method to analyze photon emission control in a dissipative two-level molecular system, providing new insights into emission suppression and enhancement conditions.

Findings

Identifies rf field parameters for photon emission suppression and enhancement.

Discovers an abrupt transition from localization to delocalization at critical rf parameters.

Results agree with previous experimental observations.

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 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)].