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Foundations of Quantum Mechanics in the Light of New Technology

STATE CONTROL IN FLUX QUBIT CIRCUITS: MANIPULATING OPTICAL SELECTION RULES OF MICROWAVE-ASSISTED TRANSITIONS IN THREE-LEVEL ARTIFICIAL ATOMS

Yu-xi Liu, J. Q. You, L. F. Wei, C. P. Sun, Franco Nori

Published Jun 1, 2006• 0 citations
Publisher
DOI
10.1142/9789812773210_0017

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SPIN-DEPENDENT SELECTION RULES FOR DIPOLE TRANSITIONS

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We have investigated the spin dependent selection rules for dipole transitions in the hydrogen atom by using the solution of Dirac equation. We showed that some transitions allow spin flip which is not possible according to the conventional selec-tion rules. As an example we look at 1s-2p dipole transitions. The percentage of the spin flip rate in (1s-2p) is found to be 56 % which is larger that the non-flip rate. The present result is believed to serve a significant help for understanding the recent observation of the spin flip in the excitonic transitions in nanostructures.

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Comment on SPIN-DEPENDENT SELECTION RULES FOR DIPOLE TRANSITIONS

A.S. Shumovsky

Despite the fact that properties of atomic transitions are well known since the early days of quantum mechanics, the theoretical analysis of peculiarities of the spectroscopic data still attracts a great deal of interest (e.g., see recent monograph [1]). It is well known that some nanostructures like quantum dots and quantum wells behave like twoor multi-level atoms. For example, an exciton-polariton confined in a quantum well represents an ideal two-level atom, manifesting a number of specific phenomena such as collaps and revival of Rabi oscillations [2, 3, 4]. Similar effects can also be observed in quantum dots [5, 6]. Let us stress that those “artificial atoms” are considered nowadays in the context of design of a hardware for realization of quantum computing. It has been observed that the dipole transitions in excitons and some nanostructures can manifest spin-flip effects [7, 8]. In the article by M. Saglam et al, it is shown that even the conventional Dirac model of hydrogen atom surprisingly allows spin-flip effects. The corresponding rate seems to be quite high (more than 50%).

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Quantum-optical control techniques for atomic motional states

Sönke Schmidt

•Jan 1, 2012•1 citation
We have investigated the spin dependent selection rules for dipole transitions in the hydrogen atom by using the solution of Dirac equation. We showed that some transitions allow spin flip which is not possible according to the conventional selec-tion rules. As an example we look at 1s-2p dipole transitions. The percentage of the spin flip rate in (1s-2p) is found to be 56 % which is larger that the non-flip rate. The present result is believed to serve a significant help for understanding the recent observation of the spin flip in the excitonic transitions in nanostructures.
Despite the fact that properties of atomic transitions are well known since the early days of quantum mechanics, the theoretical analysis of peculiarities of the spectroscopic data still attracts a great deal of interest (e.g., see recent monograph [1]). It is well known that some nanostructures like quantum dots and quantum wells behave like twoor multi-level atoms. For example, an exciton-polariton confined in a quantum well represents an ideal two-level atom, manifesting a number of specific phenomena such as collaps and revival of Rabi oscillations [2, 3, 4]. Similar effects can also be observed in quantum dots [5, 6]. Let us stress that those “artificial atoms” are considered nowadays in the context of design of a hardware for realization of quantum computing. It has been observed that the dipole transitions in excitons and some nanostructures can manifest spin-flip effects [7, 8]. In the article by M. Saglam et al, it is shown that even the conventional Dirac model of hydrogen atom surprisingly allows spin-flip effects. The corresponding rate seems to be quite high (more than 50%).