Not that this was ever answerable, but this replicates the given figure and provides two colorbars. I have no idea what "fading contour lines without contour lines" is even supposed to mean.
% get some placeholder data
[X Y Z] = peaks(100);
% create two axes
hax1 = axes;
hax2 = axes;
% draw the background pcolor in the lower axes
hp = pcolor(hax1,X,Y,Z);
hp.LineStyle = 'none';
cb1 = colorbar(hax1);
% and draw the overlay in the upper axes, set its alpha accordingly
nlevels = 9;
[~,hc] = contour(hax2,X,Y,Z,nlevels);
cb2 = colorbar(hax2);
cb2.Ticks = hc.LevelList;
% set colormaps
colormap(hax1,jet(256));
colormap(hax2,gray(nlevels-1));;
% store the position and limits because adjusting
% the colorbar will mess these up
axpos = get(hax1,'position');
xl = get(hax1,'xlim');
yl = get(hax1,'ylim');
% adjust the colorbars so they don't overlap
barl = 0.48;
cb1.Position(2) = cb1.Position(2)+cb1.Position(4)*(1-barl);
cb1.Position(4) = cb1.Position(4)*barl;
cb2.Position(4) = cb2.Position(4)*barl;
% reassert axes geometry so they match
set(hax1,'position',axpos,'xlim',xl,'ylim',yl);
set(hax2,'position',axpos,'color','none','xlim',xl,'ylim',yl);
% wrangle axes setup
linkaxes([hax1 hax2]);
set(hax2,'visible','off','xtick',[],'ytick',[]) % hide top axes decorations
set(hax2,'position',hax1.Position,'xlim',hax1.XLim,'ylim',hax1.YLim, ...
'plotboxaspectratio',hax1.PlotBoxAspectRatio); % try to align both axes
