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Open Quantum Systems Decoherence

Time-optimal selective pulses of two uncoupled spin 1/2 particles

arXiv
Authors: L. Van Damme, Q. Ansel, S. J. Glaser, D. Sugny

Year

2018

Paper ID

23998

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2 particles. Using the Pontryagin Maximum Principle, we derive the global time-optimal pulses for two spins with different offsets. We show that the Pontryagin Hamiltonian can be written as a one-dimensional effective Hamiltonian. The optimal fields can be expressed analytically in terms of elliptic integrals. The time-optimal control problem is solved for the selective inversion and excitation processes. A bifurcation in the structure of the control fields occurs for a specific offset threshold. In particular, we show that for small offsets, the optimal solution is the concatenation of regular and singular extremals.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2 particles.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.07134 [2] arXiv https://arxiv.org/abs/1810.07134 [3] Publisher https://arxiv.org/abs/1810.07134

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