Exactly soluble model of the time-resolved fluorescence return to thermal equilibrium in many-particle systems after excitation

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• 作者：Andrzej Czachor ^{a.czachor@ncbj.gov.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：02.10.Yn ; 05.20.-y ; 05.70.Ce ; Keywords ; Fluorescence ; Recombination ; Relaxation ; Lifetimes ; Physical models
• 刊名：Physica B: Physics of Condensed Matter
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：483
• 期：Complete
• 页码：54-61
• 全文大小：966 K

文摘

In this paper we consider the assembly of weakly interacting identical particles, where the occupation of single-particle energy-levels at thermal equilibrium is governed by statistics. The analytic form of the inter-energy-level jump matrix is derived and analytic solution of the related eigen-problem is given. It allows one to demonstrate the nature of decline in time of the energy emission (fluorescence, recombination) of such many-level system after excitation in a relatively simple and unifying way – as a multi-exponential de-excitation. For the system of L energy levels the number of the de-excitation lifetimes is L−1. The lifetimes depend on the energy level spectrum as a whole. Two- and three-level systems are considered in detail. The impact of the energy level degeneracy on the lifetimes is discussed.