Effect of transition dipole phase on high-order-harmonic generation in solid materials

Jiang, Shicheng; Wei, Hui; Chen, Ji-Gen; Yu, Chao; Lu, Ruifeng; Lin, Chii-Dong

doi:10.1103/physreva.96.053850

Cited by 113 publications

(61 citation statements)

References 45 publications

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“…Both, the SBE model for HHG in Refs. [9,23,29] and the expansion of TSDE solutions in a Houston basis, use an adiabatic basis. Note that the SBE model in Refs.…”

Section: B Hhg Mechanism For a Two-band Systemmentioning

confidence: 99%

“…Note that the SBE model in Refs. [9,23,29] adds the damping term ρ cv k (t )/T 2 to Eq. (21), with an adjustable damping time T 2 for the interband coupling [34].…”

Section: B Hhg Mechanism For a Two-band Systemmentioning

confidence: 99%

“…Compared to HHG in atomic gases, theoretical investigations of solid HHG have indicated striking new effects, such as multiple plateaus [8,20] in HHG spectra and a linear dependence of the HHG cutoff frequency on the peak electric-field strengths of the driving laser [8,[21][22][23]. These characteristics have been revealed by numerically solving either the time-dependent Schrödinger (TDSE) in single-active-electron (SAE) approximation [8,[23][24][25] or semiconductor Bloch equations (SBEs) [9,23,[26][27][28][29][30][31]. SAE-TDSE-based numerical models have employed basis-set expansions of the active electron's wave function using either static [32] or adiabatic [8,33] Bloch states.…”

Section: Introductionmentioning

confidence: 99%

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Crystal-momentum-resolved contributions to high-order harmonic generation in solids

2019

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We analytically and numerically investigate the emission of high-order harmonic radiation from model solids by intense few-cycle midinfrared laser pulses. In single-active-electron approximation, we expand the active electron's wave function in a basis of adiabatic Houston states and describe the solid's electronic band structure in terms of an adjustable Kronig-Penney model potential. For high-order harmonic generation (HHG) from MgO crystals, we examine spectra from two-band and converged multiband numerical calculations. We discuss the characteristics of intra-and interband contributions to the HHG spectrum for computations including initial crystal momenta either from the point at the center of the first Brioullin zone (BZ) only or from the entire first BZ. For sufficiently high intensities of the driving laser field, we find relevant contributions to HHG from the entire first BZ. Based on numerically calculated spectra, we scrutinize the cutoff harmonic orders as a function of the laser peak intensity and find good qualitative agreement with our analytical saddle-point-approximation predictions and published theoretical data.

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“…Both, the SBE model for HHG in Refs. [9,23,29] and the expansion of TSDE solutions in a Houston basis, use an adiabatic basis. Note that the SBE model in Refs.…”

Section: B Hhg Mechanism For a Two-band Systemmentioning

confidence: 99%

“…Note that the SBE model in Refs. [9,23,29] adds the damping term ρ cv k (t )/T 2 to Eq. (21), with an adjustable damping time T 2 for the interband coupling [34].…”

Section: B Hhg Mechanism For a Two-band Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Crystal-momentum-resolved contributions to high-order harmonic generation in solids

2019

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“…Since inversion symmetry is included, the model should be able to emulate the case of fused silica or polycrystalline SiO 2 immediately. Additionally, the broken inversion symmetry can be assigned to quantum interference of different excitation pathways [12] or simply non-inversion-symmetric transition dipole matrix elements between the conduction band and the valence band D(k) [45]. A simplified way to mimic this feature in the semiclassical theory is to include a non-inversion-symmetric initial electronic wave packet prior to interaction with the driving laser.…”

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confidence: 99%

Observing broken inversion symmetry in solids using two-color high-order harmonic spectroscopy

Luu

Wörner

2018

Phys. Rev. A

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We experimentally investigate the manifestations of broken inversion symmetry in solids in two-color interferometric measurements. Polarization-resolved, high-order harmonic spectra of SiO 2 with different levels of crystallinity are obtained. In amorphous and polycrystalline SiO 2 , both even and odd harmonics of the two-color interferogram beat four times per fundamental period, which is similar to what was observed in atomic gases or nonoriented molecules. In contrast, when a crystalline SiO 2 sample is utilized, the competition between the contributions of broken inversion symmetries of the medium and the incident electric field results in a distinctive feature: Both odd and even harmonics beat two times per fundamental period [as predicted in Phys. Rev. B 94, 115164 (2016)]. Our observations are explained by an intuitive model. Moreover, they are fully supported by numerical simulations based on semiclassical transport theory. Our experiments highlight the considerable potential of polarimetry in two-color interferometric measurements, which allow pure and unambiguous characterization of the complex polarization response and thus consequent studies of electron dynamics in solids.

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“…Accompanied by the rapid experimental progresses in solid HHG, many theoretical works [4,6,14,[17][18][19][20][21]29,30,34,[46][47][48][49][50] have been intensively developed. In this review, we focus on the primary and widely used numerical methods based on time-dependent Schrödinger equation (TDSE) [18,46,[52][53][54][55][56][57][58][59][60][61][62][63][64][65], semiconductor Bloch equations (SBE) [4,6,11,14,17,20,21,29,47,48,50,[66][67][68][69][70][71]…”

Section: Introductionmentioning

confidence: 99%

High order harmonic generation in solids: a review on recent numerical methods

Jiang

2019

Advances in Physics: X

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Interaction of intense lasers with solid materials offers an alternative way to achieve high-order harmonic generation (HHG). Since the underlying mechanisms of the harmonic emission remain uncertain, a large number of theoretical studies have been proposed to explain the experimental findings in this fast-growing field. Here, we review the primary numerical methods and present a brief perspective of HHG in solids.

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Effect of transition dipole phase on high-order-harmonic generation in solid materials

Cited by 113 publications

References 45 publications

Crystal-momentum-resolved contributions to high-order harmonic generation in solids

Crystal-momentum-resolved contributions to high-order harmonic generation in solids

Observing broken inversion symmetry in solids using two-color high-order harmonic spectroscopy

High order harmonic generation in solids: a review on recent numerical methods

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