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Klaiber M, Hatsagortsyan KZ, Wu J, Luo SS, Grugan P, Walker BC. Limits of Strong Field Rescattering in the Relativistic Regime. PHYSICAL REVIEW LETTERS 2017; 118:093001. [PMID: 28306283 DOI: 10.1103/physrevlett.118.093001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2016] [Indexed: 06/06/2023]
Abstract
Recollision for a laser driven atomic system is investigated in the relativistic regime via a strong field quantum description and Monte Carlo semiclassical approach. We find the relativistic recollision energy cutoff is independent of the ponderomotive potential U_{p}, in contrast to the well-known 3.2U_{p} scaling. The relativistic recollision energy cutoff is determined by the ionization potential of the atomic system and achievable with non-negligible recollision flux before entering a "rescattering free" interaction. The ultimate energy cutoff is limited by the available intensities of short wavelength lasers and cannot exceed a few thousand Hartree, setting a boundary for recollision based attosecond physics.
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Affiliation(s)
- M Klaiber
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - K Z Hatsagortsyan
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - J Wu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - S S Luo
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | - P Grugan
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | - B C Walker
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
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2
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Ludwig A, Maurer J, Mayer BW, Phillips CR, Gallmann L, Keller U. Breakdown of the dipole approximation in strong-field ionization. PHYSICAL REVIEW LETTERS 2014; 113:243001. [PMID: 25541770 DOI: 10.1103/physrevlett.113.243001] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2014] [Indexed: 06/04/2023]
Abstract
We report the breakdown of the electric dipole approximation in the long-wavelength limit in strong-field ionization with linearly polarized few-cycle mid-infrared laser pulses at intensities on the order of 10¹³ W/cm². Photoelectron momentum distributions were recorded by velocity map imaging and projected onto the beam propagation axis. We observe an increasing shift of the peak of this projection opposite to the beam propagation direction with increasing laser intensities. From a comparison with semiclassical simulations, we identify the combined action of the magnetic field of the laser pulse and the Coulomb potential as the origin of our observations.
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Affiliation(s)
- A Ludwig
- Department of Physics, ETH Zurich, 8093 Zurich, Switzerland
| | - J Maurer
- Department of Physics, ETH Zurich, 8093 Zurich, Switzerland
| | - B W Mayer
- Department of Physics, ETH Zurich, 8093 Zurich, Switzerland
| | - C R Phillips
- Department of Physics, ETH Zurich, 8093 Zurich, Switzerland
| | - L Gallmann
- Department of Physics, ETH Zurich, 8093 Zurich, Switzerland and Institute of Applied Physics, University of Bern, 3012 Bern, Switzerland
| | - U Keller
- Department of Physics, ETH Zurich, 8093 Zurich, Switzerland
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Wang HY, Lin C, Liu B, Sheng ZM, Lu HY, Ma WJ, Bin JH, Schreiber J, He XT, Chen JE, Zepf M, Yan XQ. Laser-driven three-stage heavy-ion acceleration from relativistic laser-plasma interaction. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 89:013107. [PMID: 24580346 DOI: 10.1103/physreve.89.013107] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/07/2013] [Indexed: 06/03/2023]
Abstract
A three-stage heavy ion acceleration scheme for generation of high-energy quasimonoenergetic heavy ion beams is investigated using two-dimensional particle-in-cell simulation and analytical modeling. The scheme is based on the interaction of an intense linearly polarized laser pulse with a compound two-layer target (a front heavy ion layer + a second light ion layer). We identify that, under appropriate conditions, the heavy ions preaccelerated by a two-stage acceleration process in the front layer can be injected into the light ion shock wave in the second layer for a further third-stage acceleration. These injected heavy ions are not influenced by the screening effect from the light ions, and an isolated high-energy heavy ion beam with relatively low-energy spread is thus formed. Two-dimensional particle-in-cell simulations show that ∼100MeV/u quasimonoenergetic Fe24+ beams can be obtained by linearly polarized laser pulses at intensities of 1.1×1021W/cm2.
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Affiliation(s)
- H Y Wang
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China and Helmholtz Institute Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - C Lin
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China
| | - B Liu
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China
| | - Z M Sheng
- Key Laboratory for Laser Plasmas (MoE) and Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - H Y Lu
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China
| | - W J Ma
- Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany and Fakultät für Physik, LMU München, D-85748 Garching, Germany
| | - J H Bin
- Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany and Fakultät für Physik, LMU München, D-85748 Garching, Germany
| | - J Schreiber
- Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany and Fakultät für Physik, LMU München, D-85748 Garching, Germany
| | - X T He
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China
| | - J E Chen
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China
| | - M Zepf
- Helmholtz Institute Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - X Q Yan
- State Key Laboratory of Nuclear Physics and Technology, and Key Lab of High Energy Density Physics Simulation, CAPT, Peking University, Beijing 100871, China
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Klaiber M, Yakaboylu E, Bauke H, Hatsagortsyan KZ, Keitel CH. Under-the-barrier dynamics in laser-induced relativistic tunneling. PHYSICAL REVIEW LETTERS 2013; 110:153004. [PMID: 25167261 DOI: 10.1103/physrevlett.110.153004] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2012] [Indexed: 06/03/2023]
Abstract
The tunneling dynamics in relativistic strong-field ionization is investigated with the aim to develop an intuitive picture for the relativistic tunneling regime. We demonstrate that the tunneling picture applies also in the relativistic regime by introducing position dependent energy levels. The quantum dynamics in the classically forbidden region features two time scales, the typical time that characterizes the probability density's decay of the ionizing electron under the barrier (Keldysh time) and the time interval which the electron spends inside the barrier (Eisenbud-Wigner-Smith tunneling time). In the relativistic regime, an electron momentum shift as well as a spatial shift along the laser propagation direction arise during the under-the-barrier motion which are caused by the laser magnetic field induced Lorentz force. The momentum shift is proportional to the Keldysh time, while the wave-packet's spatial drift is proportional to the Eisenbud-Wigner-Smith time. The signature of the momentum shift is shown to be present in the ionization spectrum at the detector and, therefore, observable experimentally. In contrast, the signature of the Eisenbud-Wigner-Smith time delay disappears at far distances for pure quasistatic tunneling dynamics.
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Affiliation(s)
- Michael Klaiber
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - Enderalp Yakaboylu
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - Heiko Bauke
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | | | - Christoph H Keitel
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
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Fillion-Gourdeau F, Lorin E, Bandrauk AD. Resonantly enhanced pair production in a simple diatomic model. PHYSICAL REVIEW LETTERS 2013; 110:013002. [PMID: 23383787 DOI: 10.1103/physrevlett.110.013002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/28/2012] [Indexed: 06/01/2023]
Abstract
A new mechanism for the production of electron-positron pairs from the interaction of a laser field and a fully ionized diatomic molecule in the tunneling regime is presented. When the laser field is turned off, the Dirac operator has resonances in both the positive and the negative energy continua while bound states are in the mass gap. When this system is immersed in a strong laser field, the resonances move in the complex energy plane: the negative energy resonances are pushed to higher energies while the bound states are Stark shifted [F. Fillion-Gourdeau et al., J. Phys. A 45, 215304 (2012)]. It is argued here that there is a pair production enhancement at the crossing of resonances by looking at a simple one-dimensional model: the nuclei are modeled simply by Dirac delta potential wells while the laser field is assumed to be static and of finite spatial extent. The average rate for the number of electron-positron pairs produced is evaluated and the results are compared to the one and zero nucleus cases. It is shown that positrons are produced by the resonantly enhanced pair production mechanism, which is analogous to the resonantly enhanced ionization of molecular physics. This phenomenon could be used to increase the number of pairs produced at low field strength, allowing the study of the Dirac vacuum.
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Korzhimanov AV, Efimenko ES, Golubev SV, Kim AV. Generating high-energy highly charged ion beams from petawatt-class laser interactions with compound targets. PHYSICAL REVIEW LETTERS 2012; 109:245008. [PMID: 23368338 DOI: 10.1103/physrevlett.109.245008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/20/2012] [Indexed: 06/01/2023]
Abstract
A new method of generation of high-energy highly charged ion beams is proposed. The method is based on the interaction of petawatt circularly polarized laser pulses with high-Z compound targets consisting of two species of different charge-to-mass ratio. It is shown that highly charged ions produced by field ionization can be accelerated up to tens of MeV/u with ion (actually with Z ≤ 25) beam parameters like density and total charge inaccessible in conventional accelerators. A possibility of further ionization of the accelerated ion bunches in foil is also discussed.
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Affiliation(s)
- A V Korzhimanov
- Institute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia
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Martiny CPJ, Madsen LB. Symmetry of carrier-envelope phase difference effects in strong-field, few-cycle ionization of atoms and molecules. PHYSICAL REVIEW LETTERS 2006; 97:093001. [PMID: 17026358 DOI: 10.1103/physrevlett.97.093001] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/20/2006] [Indexed: 05/12/2023]
Abstract
In few-cycle pulses, the exact value of the carrier-envelope phase difference (CEPD) has a pronounced influence on the ionization dynamics of atoms and molecules. We show that, for atoms in circularly polarized light, a change in the CEPD is mapped uniquely to an overall rotation of the system, and results for arbitrary CEPD are obtained by rotation of the results from a single calculation with fixed CEPD. For molecules, this is true only for linear molecules aligned parallel with the propagation direction of the field. The effects of CEPD are classified as geometric or nongeometric. The observations are exemplified by strong-field calculations on hydrogen.
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Hu SX, Starace AF. Laser acceleration of electrons to giga-electron-volt energies using highly charged ions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 73:066502. [PMID: 16906989 DOI: 10.1103/physreve.73.066502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2005] [Revised: 03/31/2006] [Indexed: 05/11/2023]
Abstract
The recent proposal to use highly charged ions as sources of electrons for laser acceleration [S. X. Hu and A. F. Starace, Phys. Rev. Lett. 88, 245003 (2002)] is investigated here in detail by means of three-dimensional, relativistic Monte Carlo simulations for a variety of system parameters, such as laser pulse duration, ionic charge state, and laser focusing spot size. Realistic laser focusing effects--e.g., the existence of longitudinal laser field components-are taken into account. Results of spatial averaging over the laser focus are also presented. These numerical simulations show that the proposed scheme for laser acceleration of electrons from highly charged ions is feasible with current or near-future experimental conditions and that electrons with GeV energies can be obtained in such experiments.
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Affiliation(s)
- S X Hu
- Department of Physics and Astronomy, The University of Nebraska, Lincoln, Nebraska 68588-0111, USA
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Faisal FHM, Bhattacharyya S. Spin asymmetry in an intense-field ionization process. PHYSICAL REVIEW LETTERS 2004; 93:053002. [PMID: 15323691 DOI: 10.1103/physrevlett.93.053002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2004] [Indexed: 05/24/2023]
Abstract
A relativistic analysis of the rate of spin flips in ionization of an ensemble of Dirac H atoms subjected to intense circularly polarized laser fields is made. A remarkable intensity-dependent asymmetry between the spin up and spin down electron currents is found. It is nonzero even when the retardation effect, hence the magnetic component of the field, as well as the spin-orbit interaction responsible for the well-known Fano effect, is negligible. Transformation properties of the amplitudes show that the sign of asymmetry can be controlled by changing the helicity of the laser photons from outside.
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Affiliation(s)
- F H M Faisal
- Fakultät für Physik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
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Yamakawa K, Akahane Y, Fukuda Y, Aoyama M, Inoue N, Ueda H, Utsumi T. Many-electron dynamics of a Xe atom in strong and superstrong laser fields. PHYSICAL REVIEW LETTERS 2004; 92:123001. [PMID: 15089668 DOI: 10.1103/physrevlett.92.123001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/15/2003] [Revised: 07/08/2003] [Indexed: 05/24/2023]
Abstract
We report on detailed investigations of ionization dynamics of a Xe atom exposed to intense 800-nm pulses of 20-fs duration in the extensive intensity range from 10(13)-10(18) W/cm(2). Ion yields of Xe+-Xe20+ were observed as a function of laser intensity and compared with the results from a single active electron based Ammosov-Delone-Krainov model. Unexpected ionization probabilities for lower charge states and no interplay between the inner and outer shells by screening are inferred. Suppression of nonsequential ionization towards higher intensity and few optical cycle regimes is also proved.
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Affiliation(s)
- K Yamakawa
- Advanced Photon Research Center, KANSAI Research Establishment, Japan Atomic Energy Research Institute, 8-1 Umemidai, Kizu, Kyoto 619-0215, Japan.
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Popov VS. Tunnel and multiphoton ionization of atoms and ions in a strong laser field (Keldysh theory). ACTA ACUST UNITED AC 2004. [DOI: 10.3367/ufnr.0174.200409a.0921] [Citation(s) in RCA: 106] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/01/2022]
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