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Laser Physics Letters

Above-threshold dissociation occurring during photoassociation

Yong‐Chang Han

Published Nov 23, 2017• 5 citations
Publisher

Abstract

Abstract Using the quantum wave-packet method, we investigated the photoassociation (PA) processes of H + + He → HeH + in the ground electronic state (X 1 Σ g + ). Two cases are considered where the target vibrational state selected is v = 4 and 8, respectively. It is found (for the first time) that above-threshold dissociation (ATD) occurs alongside the PA process (PA-ATD). ATD dissociation can be the major loss mechanism for the PA process. Compared with the direct dissociation from a given vibrational state and continuum–continuum transitions to the same final energy, the overall PA-ATD process is enhanced in comparison to individual contributions due to correlations. The one-photon dissociation from the target vibrational state, the ATD signals from two-photon dissociation and the higher-order (three- and four-photon) dissociations are the results of different mechanisms.

DOI
10.1088/1612-202x/aa9317

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Photoassociation: From a quasicontinuum model to coherent matter optics

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We consider the process of photoassociation (PA) that occurs when a pair of colliding atoms interacts with a photon, thereby making a transition from the two-atom continuum to a bound molecular state. Such free-bound transitions are described by quantizing the molecule's dissociation continuum, and coupling each of these quasicontinuum (QC) levels to a similarly discrete molecular level. The correct free-atom results are recovered no later than at the end of a given calculation by taking the limit as the QC spacing tends to zero. From the quasicontinuum model, we are led to adapt the few-level and second-quantization methods of photon optics to analyze free-bound transitions. In particular, we establish the PA density parameter as nearly identical to the phase-space parameter as a Bose-Einstein condensate (BEC), illustrate the near-unit efficiency of one- and two-color photoassociation of a BEC, and develop coherent atom-molecule transitions as the matter optics version of second-harmonic generated photons. ^

•Oct 1, 1999•1 citation
Abstract Using the quantum wave-packet method, we investigated the photoassociation (PA) processes of H + + He → HeH + in the ground electronic state (X 1 Σ g + ). Two cases are considered where the target vibrational state selected is v = 4 and 8, respectively. It is found (for the first time) that above-threshold dissociation (ATD) occurs alongside the PA process (PA-ATD). ATD dissociation can be the major loss mechanism for the PA process. Compared with the direct dissociation from a given vibrational state and continuum–continuum transitions to the same final energy, the overall PA-ATD process is enhanced in comparison to individual contributions due to correlations. The one-photon dissociation from the target vibrational state, the ATD signals from two-photon dissociation and the higher-order (three- and four-photon) dissociations are the results of different mechanisms.
Abstract Using the time‐dependent quantum wave packet method, the photoassociation (PA) processes of He + H +→ HeH+ and He + D +→ HeD+, driven by the sin2‐shaped femtosecond laser pulse in the electronic ground state, including multiphoton transitions and dissociations, are investigated for a wide range of initial collision momenta spanning from 1 to 4 a.u. (or for the collision energy roughly in the ranges of 0.009∼0.148 eV and 0.006∼0.089 eV for HeH+ and HeD+ systems, respectively). It is found that, at some collision momenta, multiphoton transitions to deeply bound states are inevitable to occur and can greatly decrease the PA probability of the target state that selected is the vibrational state v = 6. For the dissociation process, the higher‐order (two‐ and three‐photon) dissociations, measured from the target state, tend to be significant at relative high collision energies, which implies that above‐threshold dissociations may also be an important loss mechanism in the PA process. In addition, it is also shown that the higher‐order dissociation is much stronger for HeH+ systems than that for HeD+ systems at a given collision momentum, and could be enhanced by the strong transitions among deeply bound states.
This work explores the vibrational state-selective photoassociation (PA) in the ground state of the HX (X = F, Cl, I) molecule by solving the time-dependent Schrödinger equation. For the three systems, the vibrational level of [Formula: see text] is set to be the target state and the PA probability of the target state is calculated and compared by considering different initial collision momentums. It is found that the PA probabilities are in accordance with Franck–Condon overlap integral for the HI and HCl systems, but it is not the case for the HF system. Moreover, for the HF system, it is shown that the PA probability of the target state is largest and the multiphoton transition is more likely to occur.
The photoassociation (PA) reactions of H + F → HF and D + F → DF are investigated by using the time-dependent quantum wave packet method. For each system, we consider four cases, where the target state is set to be ∣ ν = 16, 17, 18, 19〉, respectively. The effects of the initial collision momentum and laser parameters, including intensity, pulse duration, and frequency, on the final association probability are calculated and discussed. It is found that the PA probability for H + F → HF (∣ ν = 16, 17, 18〉) is significantly greater than that for D + F → DF (∣ ν = 16, 17, 18〉), while the PA probability to ∣ ν = 19〉 for the latter system is greater than the former one. This isotope effect has been connected with the Franck–Condon overlap integral between the target vibrational state and the collision continuum state.
Using the method of quantum-defect theory, we calculate the ultra-long-range molecular vibrational states near the dissociation threshold of a diatomic molecular potential which asymptotically varies as $\ensuremath{-}{1/R}^{3}.$ The properties of these states are of considerable interest as they can be formed by photoassociation (PA) of two ground-state atoms. The Franck-Condon overlap integrals between the harmonically trapped atom-pair states and the ultra-long-range molecular vibrational states are estimated and compared with their values for a pair of untrapped free atoms in the low-energy scattering state. We find that the binding between a pair of ground-state atoms by a harmonic trap has significant effect on the Franck-Condon integrals and thus can be used to influence PA. Trap-induced binding between two ground-state atoms may facilitate coherent PA dynamics between the two atoms and the photoassociated diatomic molecule.
Photoassociation in laser-assisted collisions of ultracold alkali atoms has been used recently to perform high-precision spectroscopy of very-long-range states. Rovibrational spectra close to the Na(3 2^{2}2S)+Na∗{\mathrm{Na}}^{\mathrm{*}}Na∗(3 2^{2}2P3/2{\mathit{P}}_{3/2}P3/2​) dissociation limit have been obtained by monitoring an enhanced Na2+{\mathrm{Na}}_{2}^{+}Na2+​ ion signal. We propose the use of pump-probe techniques to study the dynamics of the ionization process. At very large distances (typically 70 a.u.) two colliding Na atoms absorb a photon and form a coherent vibrational wave packet. We follow the packet in time and probe two possible mechanisms that are proposed to yield molecular ions: photoionization, where the second photon is absorbed at a small internuclear distance R directly ionizing the molecule, and associative ionization with excitation at intermediate R to the nuclear continuum of a doubly excited state followed by a half collision and autoionization at small R. The latter event can also lead to dissociation of the complex. The two mechanisms lead to distinct differences in the ion signals as a function of delay time between the pump and the probe pulses. Estimates of the ion rates to be expected in actual pump-probe experiments are given, which tend to favor the autoionization mechanism as the dominant reaction path.
We consider the process of photoassociation (PA) that occurs when a pair of colliding atoms interacts with a photon, thereby making a transition from the two-atom continuum to a bound molecular state. Such free-bound transitions are described by quantizing the molecule's dissociation continuum, and coupling each of these quasicontinuum (QC) levels to a similarly discrete molecular level. The correct free-atom results are recovered no later than at the end of a given calculation by taking the limit as the QC spacing tends to zero. From the quasicontinuum model, we are led to adapt the few-level and second-quantization methods of photon optics to analyze free-bound transitions. In particular, we establish the PA density parameter as nearly identical to the phase-space parameter as a Bose-Einstein condensate (BEC), illustrate the near-unit efficiency of one- and two-color photoassociation of a BEC, and develop coherent atom-molecule transitions as the matter optics version of second-harmonic generated photons. ^