Two-photon paired solitons supported by medium polarization

Abstract

We derive for the first time fundamental equations that describe soliton spatial profiles consisting of two-photon mode fields and macroscopic polarization of medium. Numerical solutions of this basic equation are presented to give single and multiple soliton chains taking an example of para-H${}_2$ $v=0\leftrightarrow 1$ vibrational system. Although effects of dissipative relaxation are included in the general form for two-level system, the existence of static soliton-condensate is established. Stability analysis of soliton solutions is given. Arguments given here support that soliton-condensates thus derived are final remnants of time evolution of macro-coherent two-photon process. These soliton-condensates are expected to be important in the proposed neutrino mass spectroscopy using atoms.

14 pages, 6 figures. Section 3 and 4 are improved in essential ways. Accepted for publication in Progr. Theor. Exp. Physics

References in corpus (2)

• Dynamics of two-photon paired superradiance
• Radiative emission of neutrino pair from nucleus and inner core electrons in heavy atoms

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• Experimental method of detecting relic neutrino by atomic de-excitation
• Probing Cosmic Axions through Resonant Emission and Absorption in Atomic Systems with Superradiance
• Coherent two-photon emission from hydrogen molecules excited by counter-propagating laser pulses
• Parity violating radiative emission of neutrino pair in heavy alkaline earth atoms of even isotopes
• Yet another symmetry breaking to be discovered