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Optimal control of coupled spin dyna...

Stefanatos, Dionisis.

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Optimal control of coupled spin dynamics in the presence of relaxation.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimal control of coupled spin dynamics in the presence of relaxation./
作者:	Stefanatos, Dionisis.
面頁冊數:	101 p.
附註:	Source: Dissertation Abstracts International, Volume: 66-05, Section: B, page: 2800.
Contained By:	Dissertation Abstracts International66-05B.
標題:	Engineering, System Science. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3174042
ISBN:	0542118890

Optimal control of coupled spin dynamics in the presence of relaxation.
Stefanatos, Dionisis.

Optimal control of coupled spin dynamics in the presence of relaxation. - 101 p.

Source: Dissertation Abstracts International, Volume: 66-05, Section: B, page: 2800.

Thesis (Ph.D.)--Harvard University, 2005.

In this thesis, we study methods for optimal manipulation of coupled spin dynamics in the presence of relaxation. We use these methods to compute analytical upper bounds for the efficiency of coherence and polarization transfer between coupled nuclear spins in multidimensional nuclear magnetic resonance (NMR) experiments, under the presence of relaxation. We derive relaxation optimized pulse sequences which achieve or approach these bounds and maximize the sensitivity of the experiments. The two systems examined in detail in this thesis, arising in the context of protein NMR spectroscopy, are a coupled heteronuclear spin pair and an Ising spin chain. New schemes for coherence and polarization transfer are found, which yield substantial gains in transfer efficiency, compared to the traditionally used pulse sequences. From the standpoint of mathematical control theory, the problems arising in connection with optimal manipulation of dissipative quantum dynamics, motivate the study of a class of dissipative bilinear control systems and the computation of their reachable sets. For these systems we show that the optimal solution, corresponding to the maximization of transfer efficiency, and the reachable set can be found by solving a semidefinite program.

ISBN: 0542118890Subjects--Topical Terms:

1018128
Engineering, System Science.

Optimal control of coupled spin dynamics in the presence of relaxation.
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520 $a In this thesis, we study methods for optimal manipulation of coupled spin dynamics in the presence of relaxation. We use these methods to compute analytical upper bounds for the efficiency of coherence and polarization transfer between coupled nuclear spins in multidimensional nuclear magnetic resonance (NMR) experiments, under the presence of relaxation. We derive relaxation optimized pulse sequences which achieve or approach these bounds and maximize the sensitivity of the experiments. The two systems examined in detail in this thesis, arising in the context of protein NMR spectroscopy, are a coupled heteronuclear spin pair and an Ising spin chain. New schemes for coherence and polarization transfer are found, which yield substantial gains in transfer efficiency, compared to the traditionally used pulse sequences. From the standpoint of mathematical control theory, the problems arising in connection with optimal manipulation of dissipative quantum dynamics, motivate the study of a class of dissipative bilinear control systems and the computation of their reachable sets. For these systems we show that the optimal solution, corresponding to the maximization of transfer efficiency, and the reachable set can be found by solving a semidefinite program.
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