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We report the highest compression reached in laboratory plasmas using eightlaser beams, E$_{laser}$$\approx$12 kJ, $\tau_{laser}$=2 ns in third harmonicon a CD$_2$ target at the ShenGuang-II Upgrade (SGII-Up) facility in Shanghai,China. We estimate the deuterium density $\rho_D$= 2.0 $\pm$ 0.9 kg/cm$^{3}$,and the average kinetic energy of the plasma ions less than 1 keV. The highestreached areal density $\Lambda \rho_{D}$=4.8 $\pm$ 1.5 g/cm$^{2}$ was obtainedfrom the measured ratio of the sequential ternary fusion reactions(dd$\rightarrow$t+p and t+d$\rightarrow$$\alpha$+n) and the two body reactionfusions (dd$\rightarrow$$^3$He+n). At such high densities, sequential ternaryand also quaternary nuclear reactions become important as well (i.e. n(14.1MeV) + $^{12}$C $\rightarrow$ n'+$^{12}$C* etc.) resulting in a shift of theneutron (and proton) kinetic energies from their birth values. The Down ScatterRatio (DSR-quaternary nuclear reactions) method, i.e. the ratio of the 10-12MeVneutrons divided by the total number of 14.1MeV neutrons produced, confirms thehigh densities reported above. The estimated lifetime of the highly compressedplasma is 52 $\pm$ 9 ps, much smaller than the lasers pulse duration.

Nuclear probes of an out-of-equilibrium plasma at the highest compression