Interaction of Two-Level Atoms with a Single-Mode Quantized Radiation Field
DOI:
https://doi.org/10.15407/ujpe66.7.570Keywords:
mean photon number, quadrature variance, vacuum reservoir, noiseAbstract
We have studied the statistical and squeezing properties of the cavity light generated by a two-level laser. This optical system contains N two-level atoms available in a cavity coupled to a single-mode vacuum reservoir. They are pumped to the top level from the bottom level by means of the electron bombardment. Applying the steady-state solutions of the equations of evolution of the expectation values of the atomic operators and the quantum Langevin equation, we obtained the global and local photon statistics of the single-mode light beam. We have found that, for the two-level laser operating well above the threshold, the uncertainties in the plus and minus quadratures are equal and satisfy the minimum uncertainty relation. In view of this, we have identified the light generated by the laser operating well above threshold to be coherent. On the other hand, the light generated by the laser operating at threshold is found to be chaotic. From the obtained results, we have also observed that a large part of the local mean photon number, the local photon number variance, and the local quadrature variance are confined in a relatively narrow frequency interval.
References
M.S. Iqbal, S. Mahmood, M.S.K. Razmi, M.S. Zubairy. Interaction of two two-level atoms with a single-mode quantized radiation fi eld. J. Opt. Soc. America B 5, 1312 (1988). https://doi.org/10.1364/JOSAB.5.001312
B.W. Shore, P.L. Knight. The Jaynes-Cummings model. J. Modern Optics 40, 1195 (1993).
https://doi.org/10.1080/09500349314551321
E. Alebachew, K. Fesseha. Interaction of a two-level atom with squeezed light. Opt. Commun. 271, 154 (2007). https://doi.org/10.1016/j.optcom.2006.10.016
F. Kassahun. Stimulated emission by two-level atoms pumped to the upper level. Opt. Commun. 284, 1357 (2011).
https://doi.org/10.1016/j.optcom.2010.11.026
T. Abebe, S. Mosissa, N. Belay. Coherently driven two-level atom in open space and interacting with vacuum modes. Bulg. J. Phys. 46, 214 (2019).
M. Molla Gessesse. The noise eff ect of vacuum reservoir on the dynamics of three-level laser pumped by coherent light. Ukr. J. Phys. 65, 385 (2020). https://doi.org/10.15407/ujpe65.5.385
M. Molla Gessesse. Electrically pumped two-mode laser dynamics. Ukr. J. Phys. 66, 206 (2021). https://doi.org/10.15407/ujpe66.3.206
S. M. Barnett, P.M. Radmore. Methods in Theoretical Quantum Optics (Oxford University Press, 1997).
M. Weissbluth. Photon-Atom Interactions (United Kingdom Edition, 1989).
G.S. Agarwal. Quantum Optics (Cambridge University Press, 2013).
W. Theiss, U.M. Titulaer. The systematic adiabatic limination of fast variables from a many-dimensional Fokker-Planck equation. Physica A 130, 123 (1985). https://doi.org/10.1016/0378-4371(85)90100-1
Fesseha Kassahun. Refi nd Quantum Analysis of Light (Create Space Independent Publishing Platform, 2014).
T. Abebe. The quantum analysis of nondegenerate three-level laser with spontaneous emission and noiseless vacuum reservoir. Ukr. J. Phys. 63, 969 (2018). https://doi.org/10.15407/ujpe63.11.969
C.W. Gardiner, P. Zoller. Foundation of Quantum Optics (Imperial College Press, 2013).
F. Kassahun. Fundamentals of Quantum Optics (Lulu Press Inc., 2010).
M.O. Scully, M.S. Zubairy. Quantum Optics (Cambridge University Press, 1997). https://doi.org/10.1017/CBO9780511813993
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.