|
1
|
Kübel M, Wustelt P, Zhang Y, Skruszewicz S, Hoff D, Würzler D, Kang H, Zille D, Adolph D, Paulus GG, Sayler AM, Dumergue M, Nayak A, Flender R, Haizer L, Kurucz M, Kiss B, Kühn S, Fetić B, Milošević DB. High-Order Phase-Dependent Asymmetry in the Above-Threshold Ionization Plateau. Phys Rev Lett 2021; 126:113201. [PMID: 33798357 DOI: 10.1103/physrevlett.126.113201] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/27/2020] [Accepted: 01/28/2021] [Indexed: 06/12/2023]
Abstract
Above-threshold ionization spectra from cesium are measured as a function of the carrier-envelope phase (CEP) using laser pulses centered at 3.1 μm wavelength. The directional asymmetry in the energy spectra of backscattered electrons oscillates three times, rather than once, as the CEP is changed from 0 to 2π. Using the improved strong-field approximation, we show that the unusual behavior arises from the interference of few quantum orbits. We discuss the conditions for observing the high-order CEP dependence, and draw an analogy with time-domain holography with electron wave packets.
Collapse
Affiliation(s)
- M Kübel
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - P Wustelt
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - Y Zhang
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - S Skruszewicz
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - D Hoff
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - D Würzler
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - H Kang
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - D Zille
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - D Adolph
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - G G Paulus
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany and Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany
| | - A M Sayler
- Institute of Optics and Quantum Electronics, Max-Wien-Platz 1, D-07743 Jena, Germany, Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany, and Benedictine College, Department of Physics and Astronomy, Atchison, Kansas 66002, USA
| | - M Dumergue
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - A Nayak
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - R Flender
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - L Haizer
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - M Kurucz
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - B Kiss
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - S Kühn
- ELI-ALPS, ELI-HU Non-Profit Ltd., Wolfgang Sandner utca 3., Szeged H-6728, Hungary
| | - B Fetić
- Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina and Academy of Sciences and Arts of Bosnia and Herzegovina, Bistrik 7, 71000 Sarajevo, Bosnia and Herzegovina
| | - D B Milošević
- Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina and Academy of Sciences and Arts of Bosnia and Herzegovina, Bistrik 7, 71000 Sarajevo, Bosnia and Herzegovina
| |
Collapse
|
|
2
|
Fetić B, Milošević DB. Numerical solution of the time-dependent Schrödinger equation for H_{2}^{+} ion with application to high-harmonic generation and above-threshold ionization. Phys Rev E 2017; 95:053309. [PMID: 28618485 DOI: 10.1103/physreve.95.053309] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2017] [Indexed: 11/07/2022]
Abstract
Time evolution of the bound state of a molecular hydrogen cation in an intense, linearly polarized laser field is investigated by solving the full three-dimensional time-dependent Schrödinger equation. Our method is based on the Born-Oppenheimer and dipole approximations, and the wave function is expanded in finite series using B-spline functions and spherical harmonics in prolate spheroidal coordinates. After solving the stationary Schrödinger equation, the initial state is propagated under the influence of the laser field employing the Crank-Nicolson propagator. Using this method we calculate and present high-harmonic photon spectra and above-threshold ionization angle-resolved electron spectra.
Collapse
Affiliation(s)
- B Fetić
- Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina
| | - D B Milošević
- Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina.,Academy of Sciences and Arts of Bosnia and Herzegovina, Bistrik 7, 71000 Sarajevo, Bosnia and Herzegovina.,Max-Born-Institut, Max-Born-Straße 2a, D-12489 Berlin, Germany
| |
Collapse
|
|
3
|
Sayler AM, Arbeiter M, Fasold S, Adolph D, Möller M, Hoff D, Rathje T, Fetić B, Milošević DB, Fennel T, Paulus GG. Accurate determination of absolute carrier-envelope phase dependence using photo-ionization. Opt Lett 2015; 40:3137-3140. [PMID: 26125386 DOI: 10.1364/ol.40.003137] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
The carrier-envelope phase (CEP) dependence of few-cycle above-threshold ionization (ATI) of Xe is calibrated for use as a reference measurement for determining and controlling the absolute CEP in other interactions. This is achieved by referencing the CEP-dependent ATI measurements of Xe to measurements of atomic H, which are in turn referenced to ab initio calculations for atomic H. This allows for the accurate determination of the absolute CEP dependence of Xe ATI, which enables relatively easy determination of the offset between the relative CEP measured and/or controlled by typical devices and the absolute CEP in the interaction.
Collapse
|