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Physics of Wave Processes and Radio Systems

Laser cooling of extended solids in the superradiant regime. The alternative approach

Eugene K. Bashkirov, Башкиров Е. К

Published Dec 15, 2012• 0 citations
OpenAlex

Abstract

The process of laser cooling of an extended impurity crystal in a superradiance regime is explored with using the alternative scheme of a pumping of the impurity ions. Possibility of cooling of samples at the expense of collective radiation is shown.

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The method of elimination of boson operators is used to theoretically analyze the possibility and optimal conditions of superradiance regime of laser cooling of crystals and glasses doped with rare-earth ions. A set of kinetic equations governing the processes of laser cooling and optical superradiance in a multilevel system is derived for the pulsed regime. It is demonstrated that the efficiency of laser cooling in this regime is proportional to a factor N2(lambda) 2KnS, where N is the number of active impurity centers, (lambda) is the superradiance wavelength, K is the number of superradiance channels, and nS is the number of superradiance events per second.
We present a theoretical scheme for laser cooling of rare-earth-doped solids with optical superradiance (SR), which is the coherent, sharply directed spontaneous emission of photons by a system of laser-excited rare-earth ions in the solid-state host (glass or crystal). We consider an Yb+{}^{+}+-doped ZnF4{}_{4}4​-BaF2{}_{2}2​-LaF3{}_{3}3​-AlF3{}_{3}3​-NaF (ZBLAN) sample pumped at a wavelength 1015 nm, with a rectangular pulsed source with a power of \ensuremath{\sim}433 W and a duration of 10 ns. The intensity of the SR is proportional to the square of the number of excited ions. This unique feature of SR permits an increase in the rate of the cooling process in comparison with the traditional laser cooling of the rare-earth-doped solids with anti-Stokes spontaneous incoherent radiation (fluorescence). This scheme overcomes the limitation of using only low phonon energy glasses for laser cooling.
We propose an alternative excitation scheme based on paired-π-pulses input for laser cooling of solids in superradiance regime. The dynamics of the activated atoms being pumped is analyzed, and used to deduce the temperature dependent cooling power. Compared with the continue-wave plus pulse pumping scheme, our scheme works better for laser cooling of solids via superradiance, and can improve the cooling power by 4 and 50 times at room and cryogenic temperatures, respectively. Moreover, the propagation effects of the input pulses are investigated to determine the proper length of the cooling sample.