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Dipole-dipole interaction in a photonic crystal nanocavity

Yong-Gang Huang, Gengyan Chen, Chongjun Jin +2 more

We put forward a general classical approach to obtain the quantum dipole-dipole interaction (DDI) between two two-level ``atoms'' in arbitrary nanostructures, in which the transfer rate of the DDI is analytically expressed as the difference between the two classical dipoles' total radiation power and the sum of the two individual dipole's radiation powers. The radiation power can be calculated by the finite-difference time-domain method. We apply the theory to investigate the DDI in a photonic crystal nanocavity. It is found that strong DDI at a distance can be achieved under resonant conditions and with a high quality factor, and the attractive or repulsive properties of the DDI can be manipulated. Our results should be significant for solid-state quantum-information processing based on the DDI.We put forward a general classical approach to obtain the quantum dipole-dipole interaction (DDI) between two two-level ``atoms'' in arbitrary nanostructures, in which the transfer rate of the DDI is analytically expressed as the difference between the two classical dipoles' total radiation power and the sum of the two individual dipole's radiation powers. The radiation power can be calculated by the finite-difference time-domain method. We apply the theory to investigate the DDI in a photonic crystal nanocavity. It is found that strong DDI at a distance can be achieved under resonant conditions and with a high quality factor, and the attractive or repulsive properties of the DDI can be manipulated. Our results should be significant for solid-state quantum-information processing based on the DDI.

Physical Review AMay 22, 201224 citations

The Dipole-Radiation Interaction Revisited

Jacob Szeftel, Jean-Claude Serge Lévy

Optics CommunicationsJul 23, 20240 citations

Power Spectrum of Light Scattered by Three-Level Systems

M. Fujii, Kazuhiko Saikawa

The power spectrum of the light scattered by a three-level atom driven near resonance between the ground state (|1>) and the second excited state (|3>) by a monochromatic classical electric field is evaluated following the method developed by B. R. Mollow. The incident field is assumed to interact with the dipole moment between the states |1> and |3>, while the emitted light is assumed to interact with that between the state |3> and the first excited state |2> of the atom. The atom is assumed to relax to equilibrium only via radiation damping for the sake of simplicity. The power spectrum of the scattered field is explicitly calculated from the two-time atomic dipole moment correlation function, which is evaluated on a Markoff-type assumption, and various limiting cases are discussed. In Appendix the case is considered in which radiative damping between the higher excited state and the ground state is also present.The power spectrum of the light scattered by a three-level atom driven near resonance between the ground state (|1>) and the second excited state (|3>) by a monochromatic classical electric field is evaluated following the method developed by B. R. Mollow. The incident field is assumed to interact with the dipole moment between the states |1> and |3>, while the emitted light is assumed to interact with that between the state |3> and the first excited state |2> of the atom. The atom is assumed to relax to equilibrium only via radiation damping for the sake of simplicity. The power spectrum of the scattered field is explicitly calculated from the two-time atomic dipole moment correlation function, which is evaluated on a Markoff-type assumption, and various limiting cases are discussed. In Appendix the case is considered in which radiative damping between the higher excited state and the ground state is also present.

信州大学理学部紀要Mar 25, 19871 citation

Theory of Dipole-Dipole Interaction in Coherent Radiation Processes.

Helen S. Freedhoff

Jan 1, 19650 citations

Interaction of an atom with strong classical radiation

M. D. Anosov

Russian Physics JournalMar 1, 19780 citations

Macroscopic optical coherence phenomena

Erwin Louis Hahn

Principles of coherent radiation are reviewed as they apply to the coherent interaction between two quantum Ievel atomic oscillators and classical radiation fields.The equivalence between electric dipole and magnetic dipole interactions is outlined for macroscopic systems.The power mechanism for formation of coherent signals is briefly calculated.The self-induced transparency mechanism and area-theorem connected with this mechanism serves as a means of predicting properties of photon echoes.It is stressed that when the classical field is a self-consistent solution to both the equations of the density matrix and Maxwell's equations a reaction field need not be added.Principles of coherent radiation are reviewed as they apply to the coherent interaction between two quantum Ievel atomic oscillators and classical radiation fields.The equivalence between electric dipole and magnetic dipole interactions is outlined for macroscopic systems.The power mechanism for formation of coherent signals is briefly calculated.The self-induced transparency mechanism and area-theorem connected with this mechanism serves as a means of predicting properties of photon echoes.It is stressed that when the classical field is a self-consistent solution to both the equations of the density matrix and Maxwell's equations a reaction field need not be added.

Pure and Applied ChemistryJan 1, 19720 citations

Method to Obtain Quantum Dipole-Dipole Interaction by Calculating the Classical Radiation Power

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