Dynamical invariant based shortcut to equilibration in open quantum systems
arxiv(2024)
摘要
We propose using the dynamical invariant also known as the Lewis-Riesenfeld
invariant, 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 systematically 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.
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