  We investigate the Shortcuts To Adiabaticity (STA) of a quantum harmonic
oscillator under time-dependent frictional force, using invariant based inverse
engineering method with a class of invariants characterized by a time-dependent
frictional coefficient. We discuss the implementation of shortcut protocol in a
generalized framework for any arbitrary time-dependent frictional interaction
and study a class of such interaction from which the STA for the quantum
harmonic oscillator can be obtained. We also discuss the application of the
above protocol for the harmonic oscillator with time-varying mass. For an
illustration, we consider the coupled photonic lattice as a harmonic oscillator
with time-varying mass and frequency and discuss implementing the above
protocol.
