Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Optical Society of America B

Nonlinear dynamics approach to excitation problems in coherent spectroscopy

Robert Tycko

Published Feb 1, 1987• 0 citations
OpenAlex

Abstract

A common problem in coherent spectroscopy is that of exciting a quantum mechanical system to a precisely defined final state using a radiation pulse sequence.

Related papers

Coherent excitations of a quantum nonlinear oscillator

C.W. Usenko

Physics Letters A•Mar 1, 1990•0 citations

Control of inhomogeneous quantum ensembles

Jr-Shin Li, Navin Khaneja

Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersion in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that makes such a compensation possible. We highlight the role of Lie algebras and noncommutativity in the design of a compensating pulse sequence. Finally, we investigate three common dispersions in NMR spectroscopy, namely the Larmor dispersion, rf inhomogeneity, and strength of couplings between the spins.

Physical Review A•Mar 6, 2006•229 citations

Ensemble Controllability of the Bloch Equations

Jr-Shin Li, Navin Khaneja

Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersions in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that make such a compensation possible. We highlight the role of Lie algebras and non-commutativity in the design of a compensating pulse sequence. Finally, we investigate three common dispersions in NMR spectroscopy, the Larmor dispersion, rf inhomogeneity and the strength of couplings between the spins.

IEEE Conference on Decision and Control (CDC)•Jan 1, 2006•22 citations

Nonlinear coherent spectroscopy: The contribution due to an excitation induced shift

Justin M. Shacklette

•Jan 1, 2002•0 citations

Coherent effects in the relaxation dynamics of a multilevel quantum system excited by ultrashort light pulses

Ilya Sh. Averbukh, V.A. Kovarsky, N. F. Perel'Man

Physics Letters A•May 1, 1989•2 citations

Noncommuting vector fields, polynomial approximations and control of inhomogeneous quantum ensembles

Navin Khaneja, Jr-Shin Li

Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersion in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that makes such a compensation possible. We highlight the role of Lie algebras and non-commutativity in the design of a compensating pulse sequence. Finally we investigate three common dispersions in NMR spectroscopy, the Larmor dispersion, rf-inhomogeneity and strength of couplings between the spins.

arXiv:quant-ph/0510012•Oct 3, 2005•5 citations
Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersion in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that makes such a compensation possible. We highlight the role of Lie algebras and noncommutativity in the design of a compensating pulse sequence. Finally, we investigate three common dispersions in NMR spectroscopy, namely the Larmor dispersion, rf inhomogeneity, and strength of couplings between the spins.
Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersions in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that make such a compensation possible. We highlight the role of Lie algebras and non-commutativity in the design of a compensating pulse sequence. Finally, we investigate three common dispersions in NMR spectroscopy, the Larmor dispersion, rf inhomogeneity and the strength of couplings between the spins.
Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating dispersion in system dynamics is widely known and applied. In this paper, we make explicit the key aspects of the dynamics that makes such a compensation possible. We highlight the role of Lie algebras and non-commutativity in the design of a compensating pulse sequence. Finally we investigate three common dispersions in NMR spectroscopy, the Larmor dispersion, rf-inhomogeneity and strength of couplings between the spins.