Theoretical study of complex resonances near ionization thresholds: Application to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>photoionization spectrum

Giusti-Suzor, A.; Lefebvre‐Brion, H.

doi:10.1103/physreva.30.3057

Cited by 123 publications

(64 citation statements)

References 21 publications

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“…Later this phenomenon was modeled in basic form by GiustiSuzor and Lefebvre-Brion. 40 Before giving details we consider if simpler models might explain the observed features; interaction between a heavy Rydberg series (without oscillator strength) with a broad continuum (which exhibits oscillator strength) would in a Fano-type analysis lead to window resonances, contrary to what is observed.…”

Section: Experiments and Observationsmentioning

confidence: 99%

“…Following a multichannel quantum defect theory (MQDT) approach similar to ref., 40 we introduce a set of five adjusted channel wave functions, including an open channel (the interacting continuum, 1 ) and four closed channels: the H + H -series ( 2 ) and three electronic Rydberg (interloper) series converging to V + ) 9, N + ) 0, 2, and 4 ( 3 , 4 , and 5 , respectively). The total wave function of the system can be written as where x i ) π(ν i + µ i ) is the notation for the quantum defects and R ij are the R-matrix elements representing the channel interactions.…”

Section: Experiments and Observationsmentioning

confidence: 99%

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Spectroscopic Observation and Characterization of H⁺H⁻ Heavy Rydberg States

et al. 2009

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A series of discrete resonances was observed in the spectrum of H 2 , which can be unambiguously assigned to bound quantum states in the 1/R Coulombic potential of the H + H -ion-pair system. Two-step laser excitation was performed, using tunable extreme ultraviolet radiation at λ ) 94-96 nm in the first step, and tunable ultraviolet radiation in the range λ ) 310-350 nm in the second step. The resonances, detected via H + and H 2 + ions produced in the decay process, follow a sequence of principal quantum numbers (n ) 140-230) associated with a Rydberg formula in which the Rydberg constant is mass scaled. The series converges upon the ionic H + H -dissociation threshold. This limit can be calculated without further assumptions from known ionization and dissociation energies in the hydrogen system and the electronegativity of the hydrogen atom. A possible excitation mechanism is discussed in terms of a complex resonance. Detailed measurements are performed to unravel and quantify the decay of the heavy Rydberg states into molecular H 2 + ions, as well as into atomic fragments, both H(n ) 2) and H(n ) 3). Lifetimes are found to scale as n 3 .

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Section: Experiments and Observationsmentioning

confidence: 99%

Section: Experiments and Observationsmentioning

confidence: 99%

Spectroscopic Observation and Characterization of H⁺H⁻ Heavy Rydberg States

et al. 2009

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“…One of these channels consists of the direct excitation of an electron to the continuum, while the second involves an intermediate, discrete state that is coupled to the continuum through a so-called configuration interaction [1]. The characteristic signature of the interference of these channels is the Fano resonance (FR) that is observed in scattering experiments, with a line shape that intimately reflects the relative transmission amplitudes of the two ionization pathways [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Coupling Quantum States through a Continuum: A Mesoscopic Multistate Fano Resonance

et al. 2012

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We demonstrate a fully tunable realization of a multistate Fano resonance, in which a pair of remote quantum states experience an effective coupling due to their mutual overlap with a continuum. Our mesoscopic implementation of this system exploits the ability of the semiconductor nanostructures known as quantum point contacts (QPCs) to serve, in the low-density limit close to pinch-off, as an on-demand localized state. By coupling the states formed on two separate QPCs, through a two-dimensional electron gas that serves as a continuum, we observe a robust effective interaction between the QPCs. To explain this result, we develop a theoretical formulation, based on the ideas of the Schrieffer-Wolff transformation, which is able to reproduce our key experimental findings. According to this model, the robust character of the interaction between the two remote states arises from the fact that the interaction is essentially mediated by a large number of degenerate continuum states. While the continuum is often viewed as a source of decoherence, our experiment therefore instead suggests the possibility of using this medium to support the interaction of quantum states, a result that may allow new approaches to coherently couple nanostructures in extended geometries.

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“…The generalizations of their method to systems involving arbitrary numbers of open and closed channels were done by Cooke and Cromer, 6 Lecomte, 7 Ueda, 8 Giusti-Suzor and Lefebvre-Brion, 9 Wintgen and Fridrich, 10 and Cohen. 11 Cooke and Cromer, 12 Lecomte, and Ueda showed that, for such general systems, making the diagonal elements of reactance matrices K zero can only be achieved with the modification to the transformation so that it performs an orthogonal transformation of basis functions besides a phase renormalization.…”

Section: Introductionmentioning

confidence: 99%

“…Ueda derived total cross section formulas analogous to Fano's resonance formula for some cases including one closed and an arbitrary number of open channels. Giusti-suzor and Lefebvre-Brion, 9 and Wintgen and Fridrich 10 did the detailed study for the system involving two closed and one open channels and Cohen 11 for the system involving two closed and two open channels. The present paper deals with the system involving two open and one closed channels and is thus more restrictive than the previous work in this sense.…”

Section: Introductionmentioning

confidence: 99%

The Lecomte-Ueda Transformation and Resonance Structure in the Multichannel Quantum Defect Theory for the Two Open and One Closed Channel System

2002

Bulletin of the Korean Chemical Society

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The transformation devised by Lecomte and Ueda for the study of resonance structures in the multichannel quantum defect theory (MQDT) is used to analyze partial photofragmentation cross section formulas in MQDT analogous to Fano's resonance formula obtained in the previous work for the system involving two open and one closed channels. Detailed comparison of the MQDT results with the configuration mixing (CM) ones is made. Resonance structures and their geometrical relations in the MQDT formulation are revealed and classified by combining Lecomte and Ueda's theory with the geometrical method devised to study the coupling between background and resonance scatterings.

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Theoretical study of complex resonances near ionization thresholds: Application to theN2photoionization spectrum

Cited by 123 publications

References 21 publications

Spectroscopic Observation and Characterization of H⁺H⁻ Heavy Rydberg States

Spectroscopic Observation and Characterization of H⁺H⁻ Heavy Rydberg States

Coupling Quantum States through a Continuum: A Mesoscopic Multistate Fano Resonance

The Lecomte-Ueda Transformation and Resonance Structure in the Multichannel Quantum Defect Theory for the Two Open and One Closed Channel System

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Theoretical study of complex resonances near ionization thresholds: Application to theN2photoionization spectrum

Cited by 123 publications

References 21 publications

Spectroscopic Observation and Characterization of H+H− Heavy Rydberg States

Spectroscopic Observation and Characterization of H+H− Heavy Rydberg States

Coupling Quantum States through a Continuum: A Mesoscopic Multistate Fano Resonance

The Lecomte-Ueda Transformation and Resonance Structure in the Multichannel Quantum Defect Theory for the Two Open and One Closed Channel System

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Spectroscopic Observation and Characterization of H⁺H⁻ Heavy Rydberg States

Spectroscopic Observation and Characterization of H⁺H⁻ Heavy Rydberg States