抄録
Abstract
We propose using the dynamical invariants, also known as the Lewis–Riesenfeld invariants, to
speed-up the equilibration of a driven open quantum system. This allows us to reverse engineer the
time-dependent master equation that describes the dynamics of the open quantum system and sys-
tematically derive a protocol that realizes a shortcut to equilibration. The method does not require
additional constraints on the timescale of the dynamics beside the Born-Markov approximation and
can be generically applied to boost single particle quantum engines significantly. We demonstrate it
with the damped harmonic oscillator, and show that our protocol can achieve a high-fidelity control
in shorter timescales than simple non-optimized protocols. We find that the system is heated during
the dynamics to speed-up the equilibration, which can be considered as an analogue of the Mpemba
effect in quantum control.