How fast and robust is the quantum adiabatic passage?

How fast and robust is the quantum adiabatic passage?

We study the assisted adiabatic passage, and equivalently the transitionless quantum driving, as a quantum brachistochrone trajectory. The optimal Hamiltonian for given constraints is constructed from the quantum brachistochrone equation. We discuss how the adiabatic passage is realized as the solut...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2013-08, Vol.46 (31), p.315304-14
1. Verfasser: Takahashi, Kazutaka
Format: Artikel
Sprache:eng
Schlagworte:
Adiabatic flow
Construction
Equivalence
Mathematical analysis
Optimization
Principle of least action
Stability
Trajectories
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Zusammenfassung:We study the assisted adiabatic passage, and equivalently the transitionless quantum driving, as a quantum brachistochrone trajectory. The optimal Hamiltonian for given constraints is constructed from the quantum brachistochrone equation. We discuss how the adiabatic passage is realized as the solution of the equation. The formulation of the quantum brachistochrone is based on the principle of least action. We utilize it to discuss the stability of the adiabatic passage.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/46/31/315304