FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1997416645> ?p ?o ?g. }

• W1997416645 endingPage "1801" @default.
• W1997416645 startingPage "1791" @default.
• W1997416645 abstract "A general theory of spontaneous emission was developed in Papers I and II of this series. In the present paper, the mastre equation describing spontaneous emission from $N$ identical two-level atoms is investigated further. It is shown that the equation of motion for the $p(<N)$-atom density matrix is coupled to the ($p+1$)-atom density matrix. We first consider the initial excitation of the system to state $|{ensuremath{theta}}_{0},{ensuremath{phi}}_{0}〉$ (${ensuremath{theta}}_{0}<ensuremath{pi}$) and solve the hierarchy of equations so obtained in the uncorrelated approximation. It is found that the presence of other atoms is equivalent to an external field which is determined from a self-consistent analysis. It is also found that in this approximation the state of the atom at time $t$ can be described by a single parameter $ensuremath{theta}(t)$ ($ensuremath{theta}<ensuremath{pi}$), with ${sin}^{2}frac{1}{2}ensuremath{theta}$ giving the probability that the atom is to be found in the excited state. Next, some improvements over the uncorrelated approximation are given. This is done by decoupling the equation of motion for higher-order mean values. It is found that the fluctuation $〈({S}_{i}^{Z}ensuremath{-}〈{S}_{i}^{Z}〉)({S}_{j}^{Z}ensuremath{-}〈{S}_{j}^{Z}〉)〉$ for any pair of atoms is of the order of $frac{1}{N}$. The case when ${ensuremath{theta}}_{0}=ensuremath{pi}$ is considered separately and we obtain an expression for the radiation rate by making a Hartree-Fock type of approximation on the two-particle mean values. In this case, the behavior of the radiation rate is found to differ markedly from the sech behavior. It is then shown that the entire dynamics of two-level atoms emitting spontaneously can be described by a set of $2N$ coupled first-order equations which clearly exhibit the type of nonlinearity (which is the analog of the van der Pol type of nonlinearity) for this problem and provide a better understanding of spontaneous emission. Finally in Sec. V, the theory is extended to include the effects of inhomogeneous broadening, and the functional dependence of the radiation rate on the atomic-line-shape factor is obtained." @default.
• W1997416645 created "2016-06-24" @default.
• W1997416645 creator A5064639187 @default.
• W1997416645 date "1971-11-01" @default.
• W1997416645 modified "2023-10-14" @default.
• W1997416645 title "Master-Equation Approach to Spontaneous Emission. III. Many-Body Aspects of Emission from Two-Level Atoms and the Effect of Inhomogeneous Broadening" @default.
• W1997416645 cites W1836794400 @default.
• W1997416645 cites W1963811960 @default.
• W1997416645 cites W1973349368 @default.
• W1997416645 cites W1978607448 @default.
• W1997416645 cites W1979851534 @default.
• W1997416645 cites W1985745732 @default.
• W1997416645 cites W1999309332 @default.
• W1997416645 cites W2013561290 @default.
• W1997416645 cites W2013748620 @default.
• W1997416645 cites W2014299730 @default.
• W1997416645 cites W2017154611 @default.
• W1997416645 cites W2024664759 @default.
• W1997416645 cites W2045131011 @default.
• W1997416645 cites W2068400143 @default.
• W1997416645 cites W2070595246 @default.
• W1997416645 cites W2071461214 @default.
• W1997416645 cites W2073073680 @default.
• W1997416645 cites W2090765638 @default.
• W1997416645 cites W2093719822 @default.
• W1997416645 cites W2176426498 @default.
• W1997416645 cites W3169148703 @default.
• W1997416645 cites W4236522448 @default.
• W1997416645 cites W4249830008 @default.
• W1997416645 cites W43495766 @default.
• W1997416645 doi "https://doi.org/10.1103/physreva.4.1791" @default.
• W1997416645 hasPublicationYear "1971" @default.
• W1997416645 type Work @default.
• W1997416645 sameAs 1997416645 @default.
• W1997416645 citedByCount "56" @default.
• W1997416645 countsByYear W19974166452012 @default.
• W1997416645 countsByYear W19974166452013 @default.
• W1997416645 countsByYear W19974166452016 @default.
• W1997416645 countsByYear W19974166452017 @default.
• W1997416645 countsByYear W19974166452020 @default.
• W1997416645 countsByYear W19974166452021 @default.
• W1997416645 countsByYear W19974166452022 @default.
• W1997416645 crossrefType "journal-article" @default.
• W1997416645 hasAuthorship W1997416645A5064639187 @default.
• W1997416645 hasConcept C10138342 @default.
• W1997416645 hasConcept C121332964 @default.
• W1997416645 hasConcept C149635348 @default.
• W1997416645 hasConcept C162324750 @default.
• W1997416645 hasConcept C181500209 @default.
• W1997416645 hasConcept C182306322 @default.
• W1997416645 hasConcept C184779094 @default.
• W1997416645 hasConcept C37914503 @default.
• W1997416645 hasConcept C41008148 @default.
• W1997416645 hasConcept C56911000 @default.
• W1997416645 hasConcept C58312451 @default.
• W1997416645 hasConcept C62520636 @default.
• W1997416645 hasConcept C83581075 @default.
• W1997416645 hasConcept C84114770 @default.
• W1997416645 hasConceptScore W1997416645C10138342 @default.
• W1997416645 hasConceptScore W1997416645C121332964 @default.
• W1997416645 hasConceptScore W1997416645C149635348 @default.
• W1997416645 hasConceptScore W1997416645C162324750 @default.
• W1997416645 hasConceptScore W1997416645C181500209 @default.
• W1997416645 hasConceptScore W1997416645C182306322 @default.
• W1997416645 hasConceptScore W1997416645C184779094 @default.
• W1997416645 hasConceptScore W1997416645C37914503 @default.
• W1997416645 hasConceptScore W1997416645C41008148 @default.
• W1997416645 hasConceptScore W1997416645C56911000 @default.
• W1997416645 hasConceptScore W1997416645C58312451 @default.
• W1997416645 hasConceptScore W1997416645C62520636 @default.
• W1997416645 hasConceptScore W1997416645C83581075 @default.
• W1997416645 hasConceptScore W1997416645C84114770 @default.
• W1997416645 hasIssue "5" @default.
• W1997416645 hasLocation W19974166451 @default.
• W1997416645 hasOpenAccess W1997416645 @default.
• W1997416645 hasPrimaryLocation W19974166451 @default.
• W1997416645 hasRelatedWork W2002545083 @default.
• W1997416645 hasRelatedWork W2010580098 @default.
• W1997416645 hasRelatedWork W2036639385 @default.
• W1997416645 hasRelatedWork W2037447436 @default.
• W1997416645 hasRelatedWork W2057072858 @default.
• W1997416645 hasRelatedWork W2058916620 @default.
• W1997416645 hasRelatedWork W2065376163 @default.
• W1997416645 hasRelatedWork W2277111960 @default.
• W1997416645 hasRelatedWork W2525410403 @default.
• W1997416645 hasRelatedWork W2919438148 @default.
• W1997416645 hasVolume "4" @default.
• W1997416645 isParatext "false" @default.
• W1997416645 isRetracted "false" @default.
• W1997416645 magId "1997416645" @default.
• W1997416645 workType "article" @default.