Inversionless Superradiance and the Duffing Model
- Authors: Ryzhov I.V.1, Vasil’ev N.A.1, Kosova I.S.1, Shtager M.D.1, Malyshev V.A.2,3
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Affiliations:
- St. Petersburg State Pedagogical University
- Fock Institute of Physics
- Zernike Institute for Advanced Materials
- Issue: Vol 120, No 3 (2016)
- Pages: 440-447
- Section: Nonlinear and Quantum Optics
- URL: https://ogarev-online.ru/0030-400X/article/view/164561
- DOI: https://doi.org/10.1134/S0030400X1603019X
- ID: 164561
Cite item
Abstract
Superradiance of three-level optical systems with a doublet in the ground state (Λ-scheme) placed in a high-Q cavity is studied theoretically. The conservation laws are obtained, which allow to considerably reduce the dimension of the phase space of the examined model (R11→R5). In the particular case of a degenerate doublet, a mapping that makes it possible to reduce the problem of the three-level superradiance to a Duffing oscillator model (R5→R2) is found. It is shown the possibility to initiate the superradiance generation even in the case when the population of the upper level is smaller than the total population of the lower doublet, i.e., without population inversion on the whole.
About the authors
I. V. Ryzhov
St. Petersburg State Pedagogical University
Author for correspondence.
Email: igoryzhov@yandex.ru
Russian Federation, St. Petersburg, 191186
N. A. Vasil’ev
St. Petersburg State Pedagogical University
Email: igoryzhov@yandex.ru
Russian Federation, St. Petersburg, 191186
I. S. Kosova
St. Petersburg State Pedagogical University
Email: igoryzhov@yandex.ru
Russian Federation, St. Petersburg, 191186
M. D. Shtager
St. Petersburg State Pedagogical University
Email: igoryzhov@yandex.ru
Russian Federation, St. Petersburg, 191186
V. A. Malyshev
Fock Institute of Physics; Zernike Institute for Advanced Materials
Email: igoryzhov@yandex.ru
Russian Federation, Peterhof, St. Petersburg, 198504; Nijenborgh 4, AG Groningen, 9747
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