Time optimal control in spin systems

被引：551

作者：

Khaneja, N. ^{[1
]}

Brockett, R. ^{[1
]}

Glaser, S.J. ^{[1
]}

机构：

[1] Department of Mathematics, Dartmouth College, Hanover, NH 03755, United States

来源：

Physical Review A. Atomic, Molecular, and Optical Physics | 2001年 / 63卷 / 03期

关键词：

Coherent light - Hamiltonians - Light polarization - Magnetic field effects - Matrix algebra - Nuclear magnetic resonance spectroscopy - Vectors;

D O I：

10.1103/PhysRevA.63.032308

中图分类号：

学科分类号：

摘要：

The design of pulse sequences for nuclear magnetic resonance spectroscopy was studied as a problem of time optimal control of the unitary propagator. A formulation of the problem of finding the shortest pulse sequences was proposed in coherent spectroscopy. It was shown that the problem of computing minimum time to produce a unitary propagator was reduced to find the shortest length paths on certain coset spaces.

引用

页码：323081 / 320811