Parsell effect

The Purcell effect (Purcell effect, also known as the Purcell effect) - in quantum electrodynamics, an increase in the rate of emission of an oscillator in a resonator compared to the speed of spontaneous emission into free space. ^[one]

The oscillator emission rate in the resonator is multiplied by the Purcell coefficient:

F_{p}={\frac {3}{4\pi ^{2}}}\left({\frac {\lambda _{c}}{n}}\right)^{3}{\frac {Q}{V}}

{\ displaystyle F_ {p} = {\ frac {3} {4 \ pi ^ {2}}} \ left ({\ frac {\ lambda _ {c}} {n}} \ right) ^ {3} { \ frac {Q} {V}}}

{\ displaystyle F_ {p} = {\ frac {3} {4 \ pi ^ {2}}} \ left ({\ frac {\ lambda _ {c}} {n}} \ right) ^ {3} { \ frac {Q} {V}}}

Where ${\frac {\lambda _{c}}{n}}$ ${\ displaystyle {\ frac {\ lambda _ {c}} {n}}}$ ${\ displaystyle {\ frac {\ lambda _ {c}} {n}}}$ - wavelength in the resonator medium, $Q$ ${\ displaystyle Q}$ $Q$ - his quality factor, $V$ ${\ displaystyle V}$ $V$ - mod volume.

A quantum emitter ( atom , ion , quantum dot , etc.), placed in a high-quality resonator of small volume, changes the directivity and speed of spontaneous emission. The effect depends on the density of modes in the cavity. This property is used to effectively match the radiation of quantum emitters with radiation receivers ( optical fiber , waveguides , etc.)

An example of a change in the Purcell coefficient can be found in the work of Akimov et al., Where it is shown that the radiation of a quantum dot located near a silver nanowire is almost completely “absorbed” by a wire ^[2] .

Purcell's article, in which this coefficient was first introduced, is one of the shortest (one paragraph) and at the same time actively quoted in modern physics. According to ISI Web of Knowledge for 2011, the article was cited almost 1,700 times.

Literature

Kerry J. Vahala , Optical Microcavities , Nature, 424, 839, (2003)
Richard K. Chang, Anthony J. Campillo. Volume 3 of Advanced series in applied physics // Optical processes in microcavities. - Singapore: World Scientific, 1996, 1996. - S. 434. - ISBN 9810223447 , 9789810223441.

Harry J. Kimble , Physica Scripta. Vol. T76, 127-137, 1998, Strong Interactions of Single Atoms and Photons in Cavity QED .

Notes

↑ EM Purcell . Spontaneous emission probabilities at radio frequencies (Fr.) // Physical Review : magazine. - 1946. - Vol. 69 . - P. 681 .
↑ AV Akimov, A. Mukherjee, CL Yu, DE Chang, AS Zibrov, PR Hemmer, H. Park and MD Lukin. Generation of single optical plasmons in metallic nanowires coupled to quantum dots (English) // Nature: journal. - Vol. 450 . - P. 402-406 . - DOI : 10.1038 / nature06230 .

[1] EM Purcell . Spontaneous emission probabilities at radio frequencies (Fr.) // Physical Review : magazine. - 1946. - Vol. 69 . - P. 681 .

[Akimov-2] AV Akimov, A. Mukherjee, CL Yu, DE Chang, AS Zibrov, PR Hemmer, H. Park and MD Lukin. Generation of single optical plasmons in metallic nanowires coupled to quantum dots (English) // Nature: journal. - Vol. 450 . - P. 402-406 . - DOI : 10.1038 / nature06230 .

Parsell effect

Literature

Notes

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