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Journal of Applied Mathematics and Statistical Applications | Volume: 1
August 23-24, 2018 | London, UK
Applied Physics
3
rd
International Conference on
Fluorescence and amplification in quantum systems with violated symmetry
Nikolai Bogolubov
V A Steklov Mathematical Institute of the RAS, Russia
O
ne-electron multi-level atom model with violated
symmetry,
driven
by
external
semi-classical
monochromatic high-frequency electromagnetic field and
interacting with a heat bath simultaneously, was studied
under the assumption that its transition dipole operator
possesses permanent diagonal matrix elements and not all
of them are equal to each other, which assumption amounts
to the violation of the spatial inversion symmetry. A general
formula for the intensity of the electromagnetic field radiated
from such a system in the far-distant zone was derived which
does not contain contributions stemming from these non-
zero permanent diagonal matrix elements of the transition
dipole moments explicitly. Hence, it can be concluded that
the dynamics of these diagonal matrix elements may affect
the system fluorescence only indirectly through the alteration
of the time dependence of the non-diagonal matrix elements
due to quantum processes of higher orders. As an example,
radiative properties of a monochromatically driven two-level
quantum system with permanent non-equal dipole moment
diagonal matrix elements were thoroughly analyzed. The
central part of this work results are the (plausible) conditions
under which this system driven by external monochromatic
high-frequency laser field can radiate continuously at much
lower frequency. It was also discussed how such a system could
be realized in practice. The absorption-amplification response
to the weak probe field in this system driven by external laser
field at resonant frequency was studied too. It was found that
this system is able to amplify low-frequency EM radiation for a
broad enough range of frequencies. It is reasonable to assume
that these results may be of use in various fields of nano-
electronics and can be employed in development of practically
useful devices dedicated for generation and amplification
of relatively low-frequency (terahertz) EM radiation.
Speaker Biography
Nikolai Bogolubov is a chief scientific researcher at the VA Steklov Mathematical
Institute of the RAS. His scientific interests are in general mathematical problems of
equilibrium and non-equilibrium statistical mechanics and applications of modern
mathematical methods of classical and quantum statistical mechanics to the problems
of the polaron theory, super radiance theory, and the theory of superconductivity.
His main works belong to the field of Theoretical and Mathematical Physics, Classical
and Quantum Statistical Mechanics, Kinetic theory. He has published more than 150
works in the field of Statistical Mechanics, Theoretical and Mathematical Physics.
e:
nikolai_bogolubov@hotmail.com