Local dynamics in high-order-harmonic generation using Bohmian trajectories

Wu, Jie; Augstein, B. B.; Faria, C. Figueira de Morisson

doi:10.1103/physreva.88.023415

Cited by 39 publications

(45 citation statements)

References 60 publications

(64 reference statements)

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“…4(b). This has been confirmed by more in-depth studies with long-range and short-range potentials but also have assessed that outer trajectories affect nonlocally the central ones [90,91].…”

Section: Intense Light-matter Interactionmentioning

confidence: 48%

Applied Bohmian mechanics

et al. 2014

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Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard quantum theories have different formalisms, both give exactly the same predictions for all phenomena. Fifteen years ago, the quantum chemistry community began to study the practical usefulness of Bohmian mechanics. Since then, the scientific community has mainly applied it to study the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectorybased explanation of complicated quantum phenomena. Here we present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for this kind of problems (where the Bohmian and the quantum hydrodynamic formalisms coincide). In addition, this work also emphasizes that the Bohmian formalism can be a useful tool in other types of (nonunitary and nonlinear) quantum problems where the influence of the environment or the nonsimulated degrees of freedom are relevant. This review contains also examples on the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. The ability of the Bohmian formalism to analyze this last type of problems for (open) quantum systems remains mainly unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory among the scientific community will be greatly influenced by its potential success in those types of problems that present nonunitary and/or nonlinear quantum evolutions. A brief introduction of the Bohmian formalism and some of its extensions are presented in the last part of this review.

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Section: Intense Light-matter Interactionmentioning

confidence: 48%

Applied Bohmian mechanics

et al. 2014

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“…Possible reasons are that the initial electronic wave packet in the TDSE has an initial momentum and position spread, while all CQSFA orbits are located at the tunnel exit. The initial spread of the electronic wave packet has been shown to be necessary for a good quantitative agreement with the TDSE in the context of high-order harmonic generation (HHG) [53][54][55][56]. This initial spread seems to be very important for strong-field ionization as well, as recent phase-space studies revealed that orbit-based methods that incorporate this spread exhibit a nearly quantitative agreement with the TDSE, even if tunnel ionization is not properly accounted for [57].…”

Section: Resultsmentioning

confidence: 99%

“…This may be due to the initial momentum and position spread that exists for the TDSE, but is absent for the CQSFA. In fact, recent studies on HHG [53][54][55][56] and strong-field ionization [57] indicate that this spread is necessary for a quantitative agreement with the TDSE.…”

Section: Discussionmentioning

confidence: 99%

Near-threshold photoelectron holography beyond the strong-field approximation

Lai¹,

Yu²,

Huang³

et al. 2017

Phys. Rev. A

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We study photoelectron angular distributions (PADs) near the ionization threshold with a newly developed Coulomb quantum-orbit strong-field approximation (CQSFA) theory. The CQSFA simulations exhibit an excellent agreement with the result from the time-dependent Schrödinger equation. We show that the low-energy fan-shaped pattern in the PADs corresponds to a subcycle time-resolved holographic structure and stems from the significant influence of the Coulomb potential on the phase of the forward-scattered electron trajectories, which affects different momenta and scattering angles unequally. Our work provides a direct explanation of how the fan-shaped structure is formed, based on the quantum interference of direct and forward-scattered orbits. Moreover, our work shows that the fan-shaped pattern can be used to extract information on the target structure, as the number of fringes in the PADs depends strongly on the symmetry of the electronic bound state.

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“…Similar oscillations have also been identified and discussed in previous publications using TDSE computations [58] and the HK propagator [59] for cases where an initial wavepacket starts far from the core, and have been associated with the interference between different types of electron trajectories. The oscillations have also been studied in a different context, namely the adiabatic approximation [60,61] and Bohmian trajectories [62,63].…”

Section: Resultsmentioning

confidence: 99%

Coupled-coherent-states approach for high-order harmonic generation

Symonds

Rontó

et al. 2015

Phys. Rev. A

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In this paper we report a version of the Coupled Coherent States (CCS) method which is able to accurately compute the HHG spectrum of an electron in a laser field in one dimension by the use of trajectory-guided grids of Gaussian wavepackets. It is shown that by periodic re-projection of the wavefunction and dynamically altering the basis set size, the method can account for a wavefunction which spreads out to cover a large area in phase space while still keeping computational expense low. The HHG spectra obtained show good agreement with those from a time dependent Schrödinger equation solver. We show also that the part of the wavefunction which is responsible for HHG moves along a periodic orbit which is far from that of classical motion. Although this paper is a proof of principle and therefore focussed on a simple one-dimensional system, future generalisations for the multi-electron case are discussed.

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Local dynamics in high-order-harmonic generation using Bohmian trajectories

Cited by 39 publications

References 60 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

Near-threshold photoelectron holography beyond the strong-field approximation

Coupled-coherent-states approach for high-order harmonic generation

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