While it may sound counterintuitive, one of the goals we strive for in high-end audio design is magnifying the quiet areas of music.
In the same way a skillful painter uses subtle contrast to delineate the subject, quieting the audio signal and improving the separation of instruments is one of those secret sauce design components you don't hear much about.
In design terms I think of this challenge more of clearing and cleaning of clutter rather than amplifying the silence.
What tools might we use to reduce clutter? In analog design it's typically controlling the amount of feedback. Less is more. In digital audio it's typically two areas: power supply and timing. Cleaner power and better timing almost always lead to less audible clutter.
The more we work to amplify the silence the better the music sounds.