Inverse quantum-mechanical control: A means for design and a test of intuition

Peter Gross; Harjinder Singh; Herschel Rabitz; Kenneth Mease; G. M. Huang

doi:https://doi.org/10.1103/PhysRevA.47.4593

Inverse quantum-mechanical control: A means for design and a test of intuition

Peter Gross, Harjinder Singh, Herschel Rabitz, Kenneth Mease, G. M. Huang

Princeton University

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

93 Scopus citations

Abstract

The inverse quantum-mechanical control of molecules is studied using the equation of motion for the expectation value of an operator. With this method, a requisite external field is obtained to track exactly a prescribed molecular objective expectation value as a function of time. Applications to diatomic and polyatomic molecules are formulated. While the method is directly applicable as a test of physical intuition, it can in principle be used to design fields for specific objectives including reactive selectivity. Results are presented for position and energy tracking in the hydrogen fluoride molecular system. The numerical calculations show that seemingly benign objective tracks may give rise to singularities in the field. However, these singularities do not present problems in the evolution of the dynamical quantities and instead provide useful hints for designing robust fields.

Original language	English (US)
Pages (from-to)	4593-4604
Number of pages	12
Journal	Physical Review A
Volume	47
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.47.4593
State	Published - 1993

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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abstract = "The inverse quantum-mechanical control of molecules is studied using the equation of motion for the expectation value of an operator. With this method, a requisite external field is obtained to track exactly a prescribed molecular objective expectation value as a function of time. Applications to diatomic and polyatomic molecules are formulated. While the method is directly applicable as a test of physical intuition, it can in principle be used to design fields for specific objectives including reactive selectivity. Results are presented for position and energy tracking in the hydrogen fluoride molecular system. The numerical calculations show that seemingly benign objective tracks may give rise to singularities in the field. However, these singularities do not present problems in the evolution of the dynamical quantities and instead provide useful hints for designing robust fields.",

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Inverse quantum-mechanical control: A means for design and a test of intuition

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