Controllability analysis of quantum systems immersed within an engineered environment

A. Grigoriu; H. Rabitz; G. Turinici

doi:10.1007/s10910-013-0163-6

Controllability analysis of quantum systems immersed within an engineered environment

A. Grigoriu, H. Rabitz, G. Turinici

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

8 Scopus citations

Abstract

The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.

Original language	English (US)
Pages (from-to)	1548-1560
Number of pages	13
Journal	Journal of Mathematical Chemistry
Volume	51
Issue number	6
DOIs	https://doi.org/10.1007/s10910-013-0163-6
State	Published - Jun 2013

All Science Journal Classification (ASJC) codes

General Chemistry
Applied Mathematics

Keywords

Controllability in a non-compact Lie group
Controllability of non-Markovian equations
Lie group controllability
Quantum control

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10.1007/s10910-013-0163-6

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title = "Controllability analysis of quantum systems immersed within an engineered environment",

abstract = "The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.",

keywords = "Controllability in a non-compact Lie group, Controllability of non-Markovian equations, Lie group controllability, Quantum control",

author = "A. Grigoriu and H. Rabitz and G. Turinici",

note = "Funding Information: This work was supported by “Agence Nationale de la Recherche” (ANR), Projet Blanc EMAQS number ANR-2011-BS01-017-01, US-Department of Energy and Army Research Office.",

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AU - Rabitz, H.

AU - Turinici, G.

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N2 - The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.

AB - The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.

KW - Controllability in a non-compact Lie group

KW - Controllability of non-Markovian equations

KW - Lie group controllability

KW - Quantum control

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JF - Journal of Mathematical Chemistry

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Controllability analysis of quantum systems immersed within an engineered environment

Abstract

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