\nWe review experiments in which atomic hydrogen has been\ncompressed magnetically or thermally to become a degenerate two-dimensional\nBose gas on the surface of liquid helium.\n
We describe experiments where two-dimensional (2D) atomic hydrogen gas is compressed thermally at a small ``cold spot'' on the surface of superfluid helium and detected directly with electron-spin resonance. We reach surface densities up to $5\ifmmode\times\else\texttimes\fi{}{10}^{12}{\mathrm{cm}}^{\ensuremath{-}2}$ at temperatures $\ensuremath{\approx}100\mathrm{mK}$ corresponding to the maximum 2D phase-space density $\ensuremath{\approx}1.5.$ By independent measurements of the surface density and its decay rate we make a direct determination of the three-body recombination rate constant and get the upper bound ${L}_{3b}\ensuremath{\lesssim}2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}25}{\mathrm{cm}}^{4}/\mathrm{s}$ which is an order of magnitude smaller than previously reported experimental results.
We have performed magnetic compression experiments with the two-dimensional gas of hydrogen atoms on liquid 4He at T=120−−200mK. For 2D phase-space densities higher than 3, the probability of three-body dipole recombination is observed to decrease gradually by an order of magnitude in comparison to its low-density value ${K}_{\mathrm{bbb}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}8.4(3.5)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}25}{\mathrm{cm}}^{4}{\mathrm{s}}^{\ensuremath{-}1}$. This is attributed to local coherence developing in a 2D quasicondensate. We have also determined the value $U/k\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}5.1(5)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}15}\mathrm{K}{\mathrm{cm}}^{2}$ for the mean-field energy of the gas.
Doubly polarized hydrogen has been produced up to densities of 2\ifmmode\times\else\texttimes\fi{}1018 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}3}$ with the use of a compression technique. Samples were compressed up to five orders of magnitude into small bubblelike volumes under a column of liquid helium. This technique enabled us to study the volume decay of a bubble at almost constant gas density for minutes. The analysis of the volume decay of such a bubble is discussed. A bulk three-body recombination process was observed with rate constant C3=[7(2)]\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}39}$ cm6 ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$, as well as bulk electronic b\ensuremath{\rightarrow}c relaxation with rate constant Gbcv\ensuremath{\downarrow}=[12(4)]\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}16}$ cm3 ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$. The nature of the three-body process is analyzed with a set of extended rate equations. The samples were very delicate and rapid compressions could result in explosions.