Singular Extremals for the Time-Optimal Control of Dissipative Spin 1/2 Particles

6533b838fe1ef96bd12a50e6

RESEARCH PRODUCT

Singular Extremals for the Time-Optimal Control of Dissipative Spin 1/2 Particles

Y. Zhang Steffen J. Glaser Dominique Sugny M. Lapert Michael Braun

subject

Physics Chemical Physics (physics.chem-ph)Quantum Physics Quantum decoherence [ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]General Physics and Astronomy FOS: Physical sciences Optimal control 01 natural sciences Resonance (particle physics)010305 fluids & plasmas Magnetic field Classical mechanics [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Bounded function Physics - Chemical Physics 0103 physical sciences Dissipative system 010306 general physics Quantum Physics (quant-ph)Quantum Spin-½

description

We consider the time-optimal control by magnetic fields of a spin 1/2 particle in a dissipative environment. This system is used as an illustrative example to show the role of singular extremals in the control of quantum systems. We analyze a simple case where the control law is explicitly determined. We experimentally implement the optimal control using techniques of nuclear magnetic resonance. To our knowledge, this is the first experimental demonstration of singular extremals in quantum systems with bounded control amplitudes.

year	journal	country	edition	language
2010-01-01

10.1103/physrevlett.104.083001 https://hal.archives-ouvertes.fr/hal-00508352

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