Closed-orbit recurrences in molecular hydrogen

Wright, John D.; DiSciacca, Jack; Lambert, J.M.; Morgan, Thomas J.

doi:10.1103/physreva.81.063409

Cited by 8 publications

(10 citation statements)

References 34 publications

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“…The general physical picture and formalism are known as closed-orbit theory [3][4][5] which has been applied or extended in different situations. However, almost all the systems investigated before are time independent and therefore energy conserving [6][7][8][9][10][11][12][13][14][15]. Time-dependent systems have been rarely studied, the one exception being the photoionization of neutral atoms in a static electric field plus a weak oscillating field [16,17].…”

Section: Introductionmentioning

confidence: 99%

Closed-orbit theory for photodetachment in a time-dependent electric field

Yang

Robicheaux

2016

Phys. Rev. A

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The standard closed-orbit theory is extended for the photodetachment of negative ions in a timedependent electric field. The time-dependent photodetachment rate is specifically studied in the presence of a single-cycle terahertz pulse, based on exact quantum simulations and semiclassical analysis. We find that the photodetachment rate is unaffected by a weak terahertz field, but oscillates complicatedly when the terahertz pulse gets strong enough. Three types of closed classical orbits are identified for the photoelectron motion in a strong single-cycle terahertz pulse, and their connections with the oscillatory photodetachment rate are established quantitatively by generalizing the standard closed-orbit theory to a time-dependent form. By comparing the negative hydrogen and fluorine ions, both the in-phase and antiphase oscillations can be observed, depending on a simple geometry of the contributed closed classical orbits. On account of its generality, the presented theory provides an intuitive understanding from a time-dependent viewpoint for the photodetachment dynamics driven by an external electric field oscillating at low frequency.

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Section: Introductionmentioning

confidence: 99%

Closed-orbit theory for photodetachment in a time-dependent electric field

Yang

Robicheaux

2016

Phys. Rev. A

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“…There is also an isotope shift in the diffractive inelastic scattering peaks in the spectra as can be seen by examining the action location of the recurrence peak labeled p + p in the figures. This peak is due to the inelastic scattering between the two primitive recurrence trajectories and is the signature in the spectrum of interaction between rotational series [1,4,5].…”

mentioning

confidence: 97%

“…We refer the reader to Ref. [1] for additional details about molecular recurrence spectra.The peak labeled p in the figures is the primitive (smallestaction) recurrence associated with the scaled Rydberg excitation series (R = 1 for H 2 and R = 2 for D 2 , where R is the rotational quantum number). This peak occurs at scaled action S = 1 due to scaling.…”

mentioning

confidence: 99%

“…This reinforces the insight gained in previous work on the correspondence between the structures of a quantum spectrum and its classical periodic orbits. Recently, Wright et al [1] measured the Stark recurrence spectrum of H 2 and observed two primitive recurrences in the spectrum due to the presence in the photoabsorption spectrum of two Rydberg series converging to different rotational core states. Diffractive inelastic scattering recurrence peaks were also found resulting from configuration interaction between the two Rydberg series.…”

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confidence: 99%

“…[1] with the only change being a different experimenter and the use of D 2 as well as H 2 . A brief outline of the experiment follows.…”

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Experimental isotope shifts in Stark recurrence spectra of Rydberg D2and H2molecules

et al. 2012

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D 2 and H 2 Stark recurrence spectra have been measured at scaled energies of = −2.3 and = −3.2. An isotope shift in the scaled-action locations of recurrence peaks is found and explained by the increased density of states associated with perturbing rotational series. This reinforces the insight gained in previous work on the correspondence between the structures of a quantum spectrum and its classical periodic orbits. PACS number(s): 32.60.+i, 32.80.Ee Recently, Wright et al.[1] measured the Stark recurrence spectrum of H 2 and observed two primitive recurrences in the spectrum due to the presence in the photoabsorption spectrum of two Rydberg series converging to different rotational core states. Diffractive inelastic scattering recurrence peaks were also found resulting from configuration interaction between the two Rydberg series. We have carried out a new set of measurements using both H 2 and D 2 in order to study the effect of mass on these recurrences.The experimental apparatus used is identical to that in Ref.[1] with the only change being a different experimenter and the use of D 2 as well as H 2 . A brief outline of the experiment follows. A 4-keV D 2 + ion beam is neutralized in potassium vapor and the resulting neutral molecules in the 2pπ c 3 u metastable state are excited to Rydberg states in the presence of an electric field using a tunable dye-laser system. The Rydberg states are field ionized and the resulting ions detected with a channel plate. A field-ionization spectrum is recorded over the principal-quantum-number range of n = 16 to 26 while holding the scaled energy = EF −1/2 constant. The energy E is the electron binding energy relative to a Rydberg-series limit and F is the applied electric field. This maintains the classical dynamics unchanged over the entire spectrum [2]. The scaled spectrum is Fourier transformed to obtain the recurrence spectrum, i.e., signal strength versus orbit scaled action S [3]. Figure 1 shows the measured recurrence spectrum of D 2 (upper panel) and H 2 (lower panel) at = −3.2 and Fig. 2 shows the spectrum at = −2.3, both for scaled action up to S = 4.0. Both energies are beyond the Inglis-Teller limit with two (three) n manifolds overlapping for = −3.2 ( = −2.3). We refer the reader to Ref. [1] for additional details about molecular recurrence spectra.The peak labeled p in the figures is the primitive (smallestaction) recurrence associated with the scaled Rydberg excitation series (R = 1 for H 2 and R = 2 for D 2 , where R is the rotational quantum number). This peak occurs at scaled action S = 1 due to scaling. Each recurrence spectrum is normalized such that this peak has unit height. The peak labeled p in the figures is due to the presence in the photoabsorption spectrum of interloping Rydberg series (R > 1 in H 2 and R > 2 in D 2 ). As can be seen in the figures, p is at lower action than p. This occurs because the interloper series in both the H 2 and D 2 spectra is at a lower principal-quantum-number range compared to the main series and has larger e...

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Weak measurements of trajectories in quantum systems: classical, Bohmian and sum over paths

Matzkin¹

2015

J. Phys. A: Math. Theor.

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Closed-orbit recurrences in molecular hydrogen

Cited by 8 publications

References 34 publications

Closed-orbit theory for photodetachment in a time-dependent electric field

Closed-orbit theory for photodetachment in a time-dependent electric field

Experimental isotope shifts in Stark recurrence spectra of Rydberg D2and H2molecules

Weak measurements of trajectories in quantum systems: classical, Bohmian and sum over paths

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