  Quantum physics in the 20th century was proposed to understand the
phenomenology of atomic world at short length scale (below one nanometer) and
it was developed to study nuclear and subnuclear world at the lowest possible
spatial scale and at the highest possible energy. Today in the 21st century the
hot topic is to understand the mesoscale world extending in the range between 1
nanometer and 100 microns where the energy range of interactions is between 5
meV and 250 meV. From these studies a new Low Energy Physics (LEP) of many body
collective quantum phenomena is emerging. The international conference
Superstripes - 2014, the last of the series of Superstripes conferences has
been a key event for the scientists active in this new low energy physics. The
focus has been on a) the competition between CDW and multigap
superconductivity, and on b) the nanoscale phase separation in all high
temperature superconductors. The conferences of the superstripes series are now
the yearly major international event in the field of quantum phenomena in the
complex quantum matter at the mesoscale.
