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High-order harmonic generation spectrum from two coupled Floquet resonances – a non- Hermitian formulation
- 1.0517442 - FZÚ 2020 RIV GB eng J - Journal Article
Kaprálová-Žďánská, Petra Ruth
High-order harmonic generation spectrum from two coupled Floquet resonances – a non- Hermitian formulation.
Molecular Physics. Roč. 117, č. 15 (2019), s. 2138-2156. ISSN 0026-8976. E-ISSN 1362-3028
R&D Projects: GA MŠMT LTT17015
EU Projects: European Commission(XE) 654148 - LASERLAB-EUROPE
Institutional support: RVO:68378271
Keywords : high-order harmonic generation * non-Hermitian quantum mechanics * non-adiabatic coupling
OECD category: Optics (including laser optics and quantum optics)
Impact factor: 1.767, year: 2019
Method of publishing: Limited access
https://doi.org/10.1080/00268976.2019.1601788
The quantity ψ(t − t/2)|ˆa|ψ(t + t/2) given for a square integrable wavefunction ψ allows one to define very different kinds of measurables, such as absorption spectrum (as a Fourier transform (FT) over t for t=0) as well as high-order harmonic generation (HHG) spectrum (as a FT over t for t=0). The main objective of this paper is to define this quantity based on a spectral decomposition of ψ to non-Hermitian wavefunctions obtained in complex scaling calculations. The obtained formal expression combines matrix elements based on the non-Hermitian c-inner product, and surprisingly also Cartesian (Euclidean) norms and overlaps of complex scaled wavefunctions. The exact non-Hermitian formalism is necessary for theoretical calculations of HHG at coupled photoionisation resonances, illustrated here for a multiphoton conversion in helium atom near a conical intersection.
Permanent Link: http://hdl.handle.net/11104/0302751
Number of the records: 1