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Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach

Severini, S; Settimi, A; Sibilia, C; Bertolotti, M; Napoli, A; Messina, A; (2004) Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach. PHYS REV E , 70 (5) , Article 056614. 10.1103/PhysRevE.70.056614.

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Abstract

An extension of the second quantization scheme based on the quasinormal-modes theory to one-dimensional photonic band gap (PBG) structures is discussed. Such structures, treated as-double open optical cavities. are studied as part of a compound closed system including the electromagnetic radiative external bath. The electromagnetic field inside the photonic crystal is successfully represented by a new class of modes called quasinormal modes. Starting from this representation we introduce the Feymnan's propagator to calculate the decay rate of a dipole inside a PBG structure. related to the density of modes,. in,the presence of the vacuum fluctuations outside the one-dimensional cavity.

Type:Article
Title:Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach
DOI:10.1103/PhysRevE.70.056614
Keywords:2-COMPONENT EIGENFUNCTION EXPANSION, EXCESS SPONTANEOUS EMISSION, DAMPED HARMONIC-OSCILLATOR, HERMITIAN OPTICAL-SYSTEMS, BAND-GAP STRUCTURES, DIPOLE EMISSION, WAVE-EQUATION, FINITE, CAVITY, LOCALIZATION

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