Dense matter is extensively existed in a lot of fields such as dense chemistry, planet core,solar interior, and is a key products in laser-matter interactions.Their structures and dynamics are challenging for both experiments and theories.When the temperature of the system can be comparable to the Fermi temperature of electrons, both classical and quantum effects are important,inducing challenges for the present theories.We introduce electron-ion collisions induced friction into the quantum molecular dynamics based on Langevin equation, extending first principles method into the field of high energy density physics up to the temperature of 1000 eV.Based on this theoretical framework, we study the structures and dynamics of dense Iron, H, He, and SiH4.Besides,we consider the nuclear quantum effects of light elements such as H, improving the real time correlation method of centroid molecular dynamics.New physics for compressed ice, dense hydrogen is shown.Finally, we construct new inter atomic potentials for dense matter, developing accurate large-scale molecular dynamics.