Dynamical invariant based shortcut to equilibration in open quantum systems
- URL: http://arxiv.org/abs/2401.11659v2
- Date: Tue, 16 Apr 2024 06:09:03 GMT
- Title: Dynamical invariant based shortcut to equilibration in open quantum systems
- Authors: Mohamed Boubakour, Shimpei Endo, Thomás Fogarty, Thomas Busch,
- Abstract summary: We propose using the Lewis-Riesenfeld invariant to speed-up the equilibration of a driven open quantum system.
We show that our protocol can achieve a high-fidelity control in shorter timescales than simple non-optimized protocols.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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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