Parametric model for high-order harmonic generation with quantized
fields
- URL: http://arxiv.org/abs/2311.01726v1
- Date: Fri, 3 Nov 2023 05:51:42 GMT
- Title: Parametric model for high-order harmonic generation with quantized
fields
- Authors: \'Akos Gombk\"ot\H{o}, S\'andor Varr\'o, B\'ela G\'abor Pusztai,
Istv\'an Magashegyi, Attila Czirj\'ak, Szabolcs Hack, P\'eter F\"oldi
- Abstract summary: A quantum optical model for the high-order harmonic generation is presented, in which both the exciting field and the high harmonic modes are quantized.
The model is independent from the excited material system to a large extent, and allows us to focus on the properties of the electromagnetic fields.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A quantum optical model for the high-order harmonic generation is presented,
in which both the exciting field and the high harmonic modes are quantized,
while the target material appears via parameters only. As a consequence, the
model is independent from the excited material system to a large extent, and
allows us to focus on the properties of the electromagnetic fields.
Technically, the Hamiltonian known for parametric down-conversion is adopted,
where photons in the $n$th harmonic mode are created in exchange of
annihilating $n$ photons from the fundamental mode. In our treatment, initially
the fundamental mode is in a coherent state corresponding to large photon
numbers, while the high harmonic modes are in vacuum state. Due to the
interaction, the latter modes get populated while the fundamental one loses
photons. Analytical approximations are presented for the time evolution that
are verified by numerically exact calculations. For multimode, finite bandwith
excitation, the time dependence of the high-order harmonic radiation is also
given.
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