Generalized transitionless quantum driving for open quantum systems
- URL: http://arxiv.org/abs/2109.11695v2
- Date: Wed, 15 Dec 2021 15:24:15 GMT
- Title: Generalized transitionless quantum driving for open quantum systems
- Authors: Alan C. Santos, Marcelo S. Sarandy
- Abstract summary: A general approach for transitionless quantum driving in open quantum systems is introduced.
We show how to engineer time-independent master equations that provide the same dynamics as the time-dependent master equation.
We illustrate our results by applying them both to the adiabatic Deutsch algorithm under dephasing and to the Landau-Zener Hamiltonian under bit-phase-flip.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A general approach for transitionless quantum driving in open quantum systems
is introduced. Under the assumption of adiabatic evolution for time-local
master equations, we derive the generalized transitionless Lindbladian required
to implement a shortcut to adiabaticity in an open system scenario. The general
counter-diabatic Lindbladian obtained accounts for a phase freedom, which
translates into a set of free parameters throughout the dynamics. We then
discuss how our generalized approach allows us to recover the transitionless
Lindbladian introduced by G. Vacanti et al. [New J. Phys. 16, 053017 (2014)].
We then show how to engineer time-independent master equations that provide the
same dynamics as the time-dependent master equation provided by the standard
transitionless quantum driving in open systems. We illustrate our results by
applying them both to the adiabatic Deutsch algorithm under dephasing and to
the Landau-Zener Hamiltonian under bit-phase-flip.
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