Spontaneous emission from a fractal vacuum

被引:7
作者
Akkermans, Eric [1 ]
Gurevich, Evgeni [1 ]
机构
[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
基金
以色列科学基金会;
关键词
LOCALIZATION; SPECTRA; OPTICS; DECAY;
D O I
10.1209/0295-5075/103/30009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Spontaneous emission of a quantum emitter coupled to a QED vacuum with a deterministic fractal structure of its spectrum is considered. We show that the decay probability does not follow a Wigner-Weisskopf exponential decrease but rather an overall power law behavior with a rich oscillatory structure, both depending on the local fractal properties of the vacuum spectrum. These results are obtained by giving first a general perturbative derivation for short times. Then we propose a simplified model which retains the main features of a fractal spectrum to establish analytic expressions valid for all time scales. Finally, we discuss the case of a Fibonacci cavity and its experimental relevance to observe these results. Copyright (c) EPLA, 2013
引用
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页数:5
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共 22 条
[1]   Physical consequences of complex dimensions of fractals [J].
Akkermans, E. ;
Dunne, G. V. ;
Teplyaev, A. .
EPL, 2009, 88 (04)
[2]  
AKKERMANS E., IN PREPARATION
[3]   Spatial log-periodic oscillations of first-passage observables in fractals [J].
Akkermans, Eric ;
Benichou, Olivier ;
Dunne, Gerald V. ;
Teplyaev, Alexander ;
Voituriez, Raphael .
PHYSICAL REVIEW E, 2012, 86 (06)
[4]   Thermodynamics of Photons on Fractals [J].
Akkermans, Eric ;
Dunne, Gerald V. ;
Teplyaev, Alexander .
PHYSICAL REVIEW LETTERS, 2010, 105 (23)
[5]   Theory of elementary excitations in quasiperiodic structures [J].
Albuquerque, EL ;
Cottam, MG .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2003, 376 (4-5) :225-337
[6]  
COHENTANOUDJI C, 1992, ATOM PHOTON INTERACT
[7]   Spectrally enhanced light emission from aperiodic photonic structures [J].
Dal Negro, L ;
Yi, JH ;
Nguyen, V ;
Yi, Y ;
Michel, J ;
Kimerling, LC .
APPLIED PHYSICS LETTERS, 2005, 86 (26) :1-3
[8]   Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian [J].
Damanik, David ;
Gorodetski, Anton .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 305 (01) :221-277
[9]   ON THE WAVELET ANALYSIS FOR MULTIFRACTAL SETS [J].
GHEZ, JM ;
VAIENTI, S .
JOURNAL OF STATISTICAL PHYSICS, 1989, 57 (1-2) :415-420
[10]   SPONTANEOUS EMISSION NEAR THE EDGE OF A PHOTONIC BAND-GAP [J].
JOHN, S ;
QUANG, T .
PHYSICAL REVIEW A, 1994, 50 (02) :1764-1769