Laser-induced electron recollision in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>and electron correlation

Bandrauk, André D.; Lu, Hui

doi:10.1103/physreva.72.023408

Cited by 52 publications

(41 citation statements)

References 33 publications

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“…[52][53][54][55][56][57][58][59], here the incoming electron pulse is prepared by a laser pulse which induces three sequential steps, (i) ionization, (ii) recollision and (iii) diffraction, somewhat analogous to the three-step-model for high harmonic generation [60]; see also refs. [14,15,17,[61][62][63][64][65][66][67]. The maximum energy which can be achieved by laser induced diffraction is, however, limited to 3.17 U p where U p is the ponderomotive energy-to our knowledge, it has not yet been demonstrated that laser induced diffraction can reach the keV domain [67,68].…”

Section: Introductionmentioning

confidence: 78%

Quantum model simulations of attosecond electron diffraction

Baum

Manz

Schild

2010

Sci. China Phys. Mech. Astron.

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Ultrafast diffraction with free attosecond electron pulses promises insight into the four-dimensional motion of charge density in atoms, molecules and condensed matter. Here we consider the quantum dynamics of the electron-electron scattering process on an attosecond time scale. By numerically solving the time-dependent two-electron Schrödinger equation, we investigate the interaction of an incoming keV-range electron wavepacket by the bound electron of an aligned H + 2 molecule, using a one-dimensional model. Our findings reveal the ratio of elastic to inelastic contributions, the role of exchange interaction, and the influence of the molecular electron density to diffraction. Momentum transfer during the scattering process, from the incoming to the bound electron mediated by the nuclei, leaves the bound electron in a state of coherent oscillation with attosecond recurrences. Entanglement causes related state-selective oscillations in the phase shift of the scattered electron. Two scenarios of distinguishable and indistinguishable free and bound electrons yield equivalent results, irrespective of the electronic spins. This suggests to employ the scenario of distinguishable electrons, which is computationally less demanding. Our findings support the possibility of using electron diffraction for imaging the motion of charge density, but also suggest the application of free electron pulses for inducing attosecond dynamics. ultrafast electron diffraction, scattering theory, attosecond dynamics, entanglement, coherence

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Section: Introductionmentioning

confidence: 78%

Quantum model simulations of attosecond electron diffraction

Baum

Manz

Schild

2010

Sci. China Phys. Mech. Astron.

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“…The time-dependent equations in Eq. (2) are solved using the Crank-Nicholson scheme [19] with t = 0.02 au (1 au = 24 × 10 −18 s) as the time step. All calculations were done using eight optical cycles pulse duration.…”

Section: Methodsmentioning

confidence: 99%

“…To calculate the ionization probabilities, the first step in the recollision model [12,19], leading to MHOHG, we adopt the KS orbital method [20] for modeling the nonlinear nonperturbative response of molecules to ultrashort intense laser fields [7]. The TDDFT method provides the most detailed and feasible ab-initio approach for tackling many-body problems.…”

Section: Nonlinear Tddft and Kohn-sham Equationsmentioning

confidence: 99%

Nonlinear time-dependent density-functional-theory study of ionization and harmonic generation in CO2by ultrashort intense laser pulses: Orientational effects

Fowe

Bandrauk

2010

Phys. Rev. A

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Time-dependent density-functional-theory (TDDFT) methods are used to calculate the orientational dependence of ionization and molecular high-order harmonic generation (MHOHG) in the CO 2 molecule as a function of laser intensity I 0 10 14 W/cm 2 for few-cycle 800 nm laser pulses. A time-series analysis is used to confirm the recollision model in MHOHG for different density potentials. It is found that at intensities I 0 > 3.5 × 10 14 W/cm 2 , lower highest occupied molecular orbitals (HOMO's) contribute significantly to ionization and to the MHOHG process. This is due to the symmetry of these orbitals. Even though such lower orbitals have higher ionization potentials (IP), ionization and MHOHG processes occur when orbital densities are maximum with laser polarization direction.

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“…In the past decade, the laser-excitation dynamics of the H atom or the H 2 molecule (ion) has been studied by including explicitly the freedom degree of electron(s) in many time-dependent calculations. [27][28][29][30][31][32][33][34] This kind of simulation aims at mapping the time-evolution of the electron and accurately describing the ultrashort interaction of the molecule (or atom) with attosecond laser pulse, which consumes much more time than the wave packet calculation based on the BOA. In the case in which the BOA is valid, the wave packet calculation only including nuclei freedom degree(s) is an effective method.…”

Section: Introductionmentioning

confidence: 99%

THEORETICAL STUDY OF ABOVE THRESHOLD DISSOCIATION OF HD⁺ IN FEMTOSECOND LASER FIELDS

Yuan

Liu

et al. 2009

J. Theor. Comput. Chem.

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The above threshold dissociation (ATD) of the HD + molecular ion in a linearly polarized femtosecond laser field is theoretically studied using three-dimensional time-dependent quantum wave packet method. Based on the Born-Oppenheimer approximation (BOA), calculations are performed on two electronic states, the ground state 1sσ and the excited state 2pσ. The energy-dependent distributions of the dissociated fragments, resulting from the ATD, are calculated by using an asymptotic-flow expression in the momentum space. The numerical results demonstrate that, in the laser field of wavelength λ = 800 nm and full-width at half-maximum (FWHM) τ = 30 fs, only two-photon dissociation is observable at a weaker pulse peak intensity, 5.0 × 10 12 W cm −2 , while at an intense intensity, 1.5 × 10 15 W cm −2 , the dissociated fragments resulting from four-photon absorption dominates over the photodissociation process. These results are consistent with the experimental observation of Orr et al. [Orr PA et al., Phys Rev Lett 98:163001, 2007]. The ac Stark-shift caused by intense laser field will change the kinetic energies of the fragments. The ATD phenomena are quantitatively interpreted in terms of the concept of light-induced potential. The molecular rotation and alignment have some effects on the kinetic energy spectrum of the dissociated fragments. The molecular rotation reduces the ac Stark-shift and broadens the peaks of kinetic energy spectra of the dissociated fragments. However, the intense laser field can effectively align the molecule and is helpful to increase the ATD probability. The ATD spectrum is related to the initial quantum numbers J 0 and M 0 of the molecule. The ATD spectrum of HD + is calculated at a limited thermal temperature.

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Laser-induced electron recollision inH2and electron correlation

Cited by 52 publications

References 33 publications

Quantum model simulations of attosecond electron diffraction

Quantum model simulations of attosecond electron diffraction

Nonlinear time-dependent density-functional-theory study of ionization and harmonic generation in CO2by ultrashort intense laser pulses: Orientational effects

THEORETICAL STUDY OF ABOVE THRESHOLD DISSOCIATION OF HD⁺ IN FEMTOSECOND LASER FIELDS

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Laser-induced electron recollision inH2and electron correlation

Cited by 52 publications

References 33 publications

Quantum model simulations of attosecond electron diffraction

Quantum model simulations of attosecond electron diffraction

Nonlinear time-dependent density-functional-theory study of ionization and harmonic generation in CO2by ultrashort intense laser pulses: Orientational effects

THEORETICAL STUDY OF ABOVE THRESHOLD DISSOCIATION OF HD+ IN FEMTOSECOND LASER FIELDS

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THEORETICAL STUDY OF ABOVE THRESHOLD DISSOCIATION OF HD⁺ IN FEMTOSECOND LASER FIELDS