A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction

Tak San Ho; Herschel Rabitz; Shih I. Chu

doi:10.1016/j.cpc.2010.08.002

A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction

Tak San Ho, Herschel Rabitz, Shih I. Chu

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

This paper presents a general method to formulate monotonically convergent algorithms for identifying optimal control fields to manipulate quantum dynamics phenomena beyond the linear dipole interaction. The method, facilitated by a field-dependent dipole moment operator, is based on an integral equation of the first kind arising from the Heisenberg equation of motion for tracking a time-dependent, dynamical invariant observable associated with a reference control field.

Original language	English (US)
Pages (from-to)	14-17
Number of pages	4
Journal	Computer Physics Communications
Volume	182
Issue number	1
DOIs	https://doi.org/10.1016/j.cpc.2010.08.002
State	Published - Jan 2011

All Science Journal Classification (ASJC) codes

Hardware and Architecture
General Physics and Astronomy

Keywords

Dynamical invariant observable
Heisenberg equation of motion
Integral equation
Krotov method
Monotonic convergence
Optimal control

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10.1016/j.cpc.2010.08.002

Cite this

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title = "A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction",

abstract = "This paper presents a general method to formulate monotonically convergent algorithms for identifying optimal control fields to manipulate quantum dynamics phenomena beyond the linear dipole interaction. The method, facilitated by a field-dependent dipole moment operator, is based on an integral equation of the first kind arising from the Heisenberg equation of motion for tracking a time-dependent, dynamical invariant observable associated with a reference control field.",

keywords = "Dynamical invariant observable, Heisenberg equation of motion, Integral equation, Krotov method, Monotonic convergence, Optimal control",

author = "Ho, {Tak San} and Herschel Rabitz and Chu, {Shih I.}",

note = "Funding Information: T.S.H. and H.R. were supported by the Department of Energy and the Army Research Office . S.I.C. was supported by the Chemical Sciences, Geosciences and Biosciences Division of the Office of Basic Energy Sciences, Office of Sciences, Department of Energy, by the National Science Foundation . We also would like to acknowledge the partial support of National Science Council of Taiwan (No. 97-2112-M-002-003-MY3 ) and National Taiwan University (No. 98R0066 ). ",

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doi = "10.1016/j.cpc.2010.08.002",

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AU - Rabitz, Herschel

AU - Chu, Shih I.

N1 - Funding Information: T.S.H. and H.R. were supported by the Department of Energy and the Army Research Office . S.I.C. was supported by the Chemical Sciences, Geosciences and Biosciences Division of the Office of Basic Energy Sciences, Office of Sciences, Department of Energy, by the National Science Foundation . We also would like to acknowledge the partial support of National Science Council of Taiwan (No. 97-2112-M-002-003-MY3 ) and National Taiwan University (No. 98R0066 ).

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N2 - This paper presents a general method to formulate monotonically convergent algorithms for identifying optimal control fields to manipulate quantum dynamics phenomena beyond the linear dipole interaction. The method, facilitated by a field-dependent dipole moment operator, is based on an integral equation of the first kind arising from the Heisenberg equation of motion for tracking a time-dependent, dynamical invariant observable associated with a reference control field.

AB - This paper presents a general method to formulate monotonically convergent algorithms for identifying optimal control fields to manipulate quantum dynamics phenomena beyond the linear dipole interaction. The method, facilitated by a field-dependent dipole moment operator, is based on an integral equation of the first kind arising from the Heisenberg equation of motion for tracking a time-dependent, dynamical invariant observable associated with a reference control field.

KW - Dynamical invariant observable

KW - Heisenberg equation of motion

KW - Integral equation

KW - Krotov method

KW - Monotonic convergence

KW - Optimal control

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A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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