Parametric resonance in the ultracold Rydberg plasma under the influence of an acoustic wave
DOI:
https://doi.org/10.24028/gzh.0203-3100.v42i6.2020.222306Keywords:
rydberg plasma, scattering, parametric resonance, acoustic waveAbstract
The article considers weakly ionized ultracold Rydberg plasma under the influence of an acoustic wave of the terahertz range. The effect of an acoustic wave on Langmuir oscillations of Rydberg plasma is described using a hydrodynamic approach. The mechanism of the influence of an acoustic wave on Langmuir oscillations in such plasma, which consists in the scattering of electrons by neutral atoms oscillating in a high-frequency acoustic field, is considered. The unitary Kramers—Henneberger transformation in the Schrцdinger equation is used to calculate the cross section for the scattering of electrons by atoms performing high-frequency oscillations in the field of a terahertz acoustic wave. On this basis, a deep analogy is shown between the problem of scattering of an electron in the field of an external electromagnetic wave by a stationary atom and the problem of scattering of an electron by an atom vibrating in an external acoustic field. Numerical calculations demonstrate the oscillatory character of the cross section for the scattering of an electron by a Rydberg atom vibrating in a high-frequency acoustic field. Within the framework of the chosen hydrodynamic model, in view of the time dependence of the cross section for scattering of electrons by plasma atoms, the change in the electron density in such a system is described by the Mathieu equation, well known in mathematical physics. On the basis of this equation, the fundamental possibility of the appearance of parametric resonance, in the form of the buildup of Langmuir oscillations, in such a system is shown theoretically. The conditions for the appearance of resonance in Rydberg plasma initiated by a high-frequency acoustic wave are indicated.
References
Aleksandrov, N.L., Napartovich, N.P., & Pal, A.F. (1990). Amplification of sound waves in a gas-discharge plasma. Fizika plazmy, 16(7), 862-870 (in Russian).
Kuzmina, L.M., Rylyuk, V.M., & Skipa, M.I. (2016). The interaction of acoustic and electromagnetic field in a mixture of electrolytes. Geofizicheskiy zhurnal, 38(2), 98-105. https://doi.org/10.24028/gzh.0203-3100.v38i2.2016.107769 (in Russian).
Landau, L.D., & Lifshits, E.M. (1988). Mechanics. Vol. I. Moscow: Nauka, 210 p. (in Russian).
Ganguly, B.N., Bletzinger, P., & Garscadden, A. (1997). Shock wave damping and dispersion in nonequilibrium low pressure argon plasmas. Physics Letters A, 230(3-4), 218-222. https://doi.org/10.1016/S0375-9601(97)00255-7.
Killian, T.C., Kulin, S., Bergeson, S.D., Orozco, L.A., Orzel, C., & Rolston, S.L. (1999). Creation of an Ultracold Neutral Plasma. Physical Review Letters, 83, 4776-4779. https://doi.org/10.1103/PhysRevLett.83.4776.
Killian, T.C., Lim, M.J., Kulin, S. Dumke, R., Bergeson, S.D., & Rolston, S.L. (2001). Formation of Rydberg Atoms in an Expanding Ultracold Neutral Plasma. Physical Review Letters, 86, 3759-3762. https://doi.org/10.1103/Phys RevLett.86.3759.
Kroll, N.M., & Watson, K.M. (1973). Charged-Particle Scattering in the Presence of a Strong Electromagnetic Wave. Physical Review A, 8, 804-809. https://doi.org/10.1103/PhysRev A.8.804.
Kulin, S., Killian, T.C., Bergeson, S.D. & Rolston, S.L. (2000). Plasma Oscillations and Expansion of an Ultracold Neutral Plasma. Physical Review Letters, 85, 318-321. https://doi.org/10.1103/PhysRevLett.85.318.
Mante, P.-A., Devos, A., & Le Louarn, A. (2010). Generation of terahertz acoustic waves in semiconductor quantum dots using fem-tosecond laser pulses. Physical Review B, 81, 113305-1-113305-4. https://doi.org/10.1103/PhysRevB.81.113305.
Roth, J.R., Sherman, D.M., & Wilkinson, S.P. (2000). Electrohydrodynamic flow control with a glow-discharge surface plasma. AIAA Journal, 38(7), 1166-1172. https://doi.org/10. 2514/2.1110.
Sandeep, S., Heywood, S.L., Campion, R.P., Kent, A.J., & Kini, R.N. (2018). Resonance of terahertz phonons in an acoustic nanocavity. Physical Review B, 98, pp. 235303-1-235303-5. https://doi.org/10.1103/PhysRevB.98.235303.
Soukhomlinov, V., Gerasimov, N., & Sheverev, V. (2007). Propagation of sound in glow discharge plasma. Journal of Physics D: Applied Physics, 40(8), 2507-2512.
Soukhomlinov, V.S., Sheverev, V.A., & Ötügen, M.V. (2005). Evolution of a vortex in glow discharge plasma. Physics of Fluids, 17, 058102-058104. https://doi.org/10.1063/1.1897007.
Soukhomlinov, V., Stepaniuk, V., Tarau, C., Ötügen, V., Sheverev, V., & Raman, G. (2002). Acoustic Wave Control Using Glow Discharge Plasma. AIAA Journal, 2002-2731. https://doi.org/10.2514/6.2002-2731.
Robinson, M.P., Tolra, B.L., Noel, M.W., Gallagher, T.F., & Pillet, P. (2000). Spontaneous Evolution of Rydberg Atoms into an Ultracold Plasma. Physical Review Letters, 85, 4466-4469. https://doi.org/10.1103/PhysRevLett.85.4466.
Adak, A., Robinson, A.P.L., Singh, P.K., Chatterjee, G., Lad, A.D., Pasley, J., & Kumar, G.R. (2015). Terahertz Acoustics in Hot Dense Laser Plasmas. Physical Review Letters, 114, 115001-1-115001-5. https://doi.org/10.1103/PhysRevLett.114.115001.
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