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Numerical relativistic quantum dynamics

Members of the Numerical relativistic quantum dynamics team
Members of the Numerical relativistic quantum dynamics team as of march 2016. From left: Heiko Bauke, Anton Wöllert, Nicolas Teeny, Meng Wen.

The research team «Numerical relativistic quantum dynamics» is a subgroup of the «Relativistic and ultrashort quantum dynamics» group within the «Theoretical quantum dynamics and quantum electrodynamics» division at the Max-Planck-Institut für Kernphysik.

Members

Research

Employing novel light sources such as the ELI-Ultra High Field Facility, for example, that envisage to provide field intensities in excess of 1020 W/cm2 and field frequencies in the x-ray domain light-matter interaction in the relativistic regime may be probed experimentally. Relativistic quantum mechanics predicts various new phenomena to occur in this regime, for example, spin effects, multiphoton scattering, radiation reaction effects, vacuum-polarization effects or even pair creation. In our research group, we investigate such relativistic quantum mechanical systems in strong electromagnetic fields from a theoretical perspective with a strong emphasis on numerical methods. This also includes the development of numerical algorithms and high-performance computer codes.

For the numerical solution of the Schrödinger equation and the Dirac equation (shown in the lower part) modern high-end computers are required, e.g., cluster computers (left) or high-performance graphics cards (right, source Nvidia).

Light-matter interaction in strong laser fields can be modeled within the frameworks of (relativistic) quantum mechanics and quantum field theory. The basic equations of nonrelativistic and relativistic quantum dynamics are the Schrödinger equation and the Dirac equation, respectively. The Schrödinger equation and the Dirac equation can be solved analytically for very few systems only. Analytical approaches fail or involve non-trivial approximations in the case of light-matter interaction in ultra-strong laser pulses. Thus, the numerical solution of the time-dependent Schrödinger and Dirac equations forms the basis for most of our research projects, where the (relativistic) quantum dynamics is be solved by using high-performance computers.

Publications

  • Meng Wen, Christoph H. Keitel, Heiko Bauke
    «Spin one-half particles in strong electromagnetic fields: spin effects and radiation reaction»
    arXiv:1610.08951
    Abstract

  • Meng Wen, Heiko Bauke, Christoph H. Keitel
    «Identifying the Stern-Gerlach force of classical electron dynamics»
    peer reviewed article in Scientific Reports, vol. 6, article 31624 (2016)
    see also arXiv:1510.09145
    Abstract

  • Nicolas Teeny, Christoph H. Keitel, Heiko Bauke
    «Salecker-Wigner-Peres quantum clock applied to strong-field tunnel ionization»
    arXiv:1608.02854
    Abstract

  • Nicolas Teeny, Christoph H. Keitel, Heiko Bauke
    «Virtual-detector approach to tunnel ionization and tunneling times»
    peer reviewed article in Physical Review A, vol. 94, article 022104 (2016)
    see also arXiv:1605.06411
    Abstract

  • Anton Wöllert, Heiko Bauke, Christoph H. Keitel
    «Multi-pair states in electron-positron pair creation»
    peer reviewed article in Physics Letters B, vol. 760, pages 552-557 (2016)
    see also arXiv:1511.07709
    Abstract

  • Nicolas Teeny, Enderalp Yakaboylu, Heiko Bauke, Christoph H. Keitel
    «Ionization time and exit momentum in strong-field tunnel ionization»
    peer reviewed article in Physical Review Letters, vol. 116, article 063003 (2016)
    see also arXiv:1502.05917
    Abstract

  • Q. Z. Lv, Heiko Bauke, Q. Su, C. H. Keitel, R. Grobe
    «Bosonic pair creation and the Schiff-Snyder-Weinberg effect»
    peer reviewed article in Physical Review A, vol. 93, article 012119 (2016)
    see also arXiv:1510.05418
    Abstract

  • Rico Erhard, Heiko Bauke
    «Spin effects in Kapitza-Dirac scattering at light with elliptical polarization»
    peer reviewed article in Physical Review A, vol. 92, article 042123 (2015)
    see also arXiv:1509.01150
    Abstract

  • Anton Wöllert, Heiko Bauke, Christoph H. Keitel
    «Spin polarized electron-positron pair production via elliptical polarized laser fields»
    peer reviewed article in Physical Review D, vol. 91, article 125026 (2015)
    see also arXiv:1502.06414
    Abstract

  • Heiko Bauke, Sven Ahrens, Christoph H. Keitel, Rainer Grobe
    «Spin dynamics in relativistic light-matter interaction»
    peer reviewed article in Proceedings of SPIE, Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers II, vol. 9515, article 95150L (2015)
    see also arXiv:1504.03489
    Abstract

  • Anton Wöllert, Michael Klaiber, Heiko Bauke, Christoph H. Keitel
    «Relativistic tunneling picture of electron-positron pair creation»
    peer reviewed article in Physical Review D, vol. 91, article 065022 (2015)
    see also arXiv:1410.2401
    Abstract

  • Randolf Beerwerth, Heiko Bauke
    «Krylov subspace methods for the Dirac equation»
    peer reviewed article in Computer Physics Communications, vol. 188, pp. 189–197 (2015)
    see also arXiv:1407.7370
    Abstract

  • Heiko Bauke, Sven Ahrens, Rainer Grobe
    «Electron-spin dynamics in elliptically polarized light waves»
    peer reviewed article in Physical Review A, vol. 90, article 052101 (2014)
    see also arXiv:1409.2647
    Abstract

  • Heiko Bauke, Sven Ahrens, Christoph H. Keitel, Rainer Grobe
    «Electron-spin dynamics induced by photon spins»
    peer reviewed article in New Journal of Physics, vol. 16, article 103028 (2014)
    see also arXiv:1401.5976
    Abstract

  • Meng Wen, Heiko Bauke, Christoph H. Keitel
    «Dynamical spin effects in ultra-relativistic laser pulses»
    arXiv:1406.3659
    Abstract

  • Heiko Bauke, Sven Ahrens, Christoph H. Keitel, Rainer Grobe
    «Relativistic spin operators in various electromagnetic environments»
    peer reviewed article in Physical Review A, vol. 89, article 052101 (2014)
    see also arXiv:1403.0550
    Abstract

  • Heiko Bauke, Sven Ahrens, Christoph H. Keitel, Rainer Grobe
    «What is the relativistic spin operator?»
    peer reviewed article in New Journal of Physics, vol. 16, article 043012 (2014)
    see also arXiv:1303.3862
    Abstract

  • Michael Klaiber, Enderalp Yakaboylu, Carsten Müller, Heiko Bauke, Gerhard G. Paulus, Karen Z. Hatsagortsyan
    «Spin effects in relativistic ionization with highly charged ions in super-strong laser fields»
    peer reviewed article in Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 47, article 065603 (2014)
    see also arXiv:1305.5379, the accompanying LabTalk article and Europhysics News vol. 45, no. 3, p. 13
    Abstract

  • Heiko Bauke, Michael Klaiber, Enderalp Yakaboylu, Karen Z. Hatsagortsyan, Sven Ahrens, Carsten Müller, Christoph H. Keitel
    «Computational relativistic quantum dynamics and its application to relativistic tunneling and Kapitza-Dirac scattering»
    peer reviewed article in Proceedings of SPIE, High-Power, High-Energy, and High-Intensity Laser Technology; and Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers, vol. 8780, article 87801Q (2013)
    see also arXiv:1306.0702
    Abstract

  • Enderalp Yakaboylu, Michael Klaiber, Heiko Bauke, Karen Z. Hatsagortsyan, Christoph H. Keitel
    «Relativistic features and time delay of laser-induced tunnel-ionization»
    peer reviewed article in Physical Review A, vol. 88, article 063421 (2013)
    see also arXiv:1309.0610
    Abstract

  • Sven Ahrens, Heiko Bauke, Christoph H. Keitel, Carsten Müller
    «Kapitza-Dirac effect in the relativistic regime»
    peer reviewed article in Physical Review A, vol. 88, article 012115 (2013)
    see also arXiv:1305.5507
    Abstract

  • S. Ahrens, T.-O. Müller, S. Villalba-Chávez, H. Bauke, C. Müller
    «Spin effects in strong-field laser-electron interactions»
    peer reviewed article in Journal of Physics: Conference Series, vol. 414, nr. 1, article 012012 (2013)
    see also arXiv:1308.0231
    Abstract

  • Michael Klaiber, Enderalp Yakaboylu, Heiko Bauke, Karen Z. Hatsagortsyan, and Christoph H. Keitel
    «Under-the-Barrier Dynamics in Laser-Induced Relativistic Tunneling»
    peer reviewed article in Physical Review Letters, vol. 110, article 153004 (2013)
    see also arXiv:1205.2004, press release 1 and press release 2, pro-physik.de
    Abstract

  • Sven Ahrens, Heiko Bauke, Christoph H. Keitel, and Carsten Müller
    «Spin dynamics in the Kapitza-Dirac effect»
    peer reviewed article in Physical Review Letters, vol. 109, article 043601 (2012)
    see also arXiv:1204.0239
    Abstract

  • Frederick Blumenthal and Heiko Bauke
    «A stability analysis of a real space split operator method for the Klein-Gordon equation»
    peer reviewed article in Journal of Computational Physics, vol. 231, nr. 2, pp. 454–464 (2012)
    see also arXiv:1105.3660
    Abstract

  • Heiko Bauke, Henrik G. Hetzheim, Guido R. Mocken, Matthias Ruf, and Christoph H. Keitel
    «Relativistic ionization characteristics of laser-driven hydrogenlike ions»
    peer reviewed article in Physical Review A, vol. 83, nr. 6, article 063414 (2011)
    Abstract

  • Heiko Bauke and Christoph H. Keitel
    «Accelerating the Fourier split operator method via graphics processing units»
    peer reviewed article in Computer Physics Communications, vol. 182, nr. 12, pp. 2454–2463 (2011)
    see also arXiv:1012.3911
    Abstract

  • Heiko Bauke and Noya Ruth Itzhak
    «Visualizing quantum mechanics in phase space»
    arXiv:1101.2683
    Abstract

  • Matthias Ruf, Heiko Bauke, and Christoph H. Keitel
    «A real space split operator method for the Klein-Gordon equation»
    peer reviewed article in Journal of Computational Physics, vol. 228, nr. 24, pp. 9092–9106 (2009)
    Abstract

  • Heiko Bauke and Christoph H. Keitel
    «Canonical transforms and the efficient integration of quantum mechanical wave equations»
    peer reviewed article in Physical Review E, vol. 80, nr. 1, article 016706 (2009)
    Abstract

  • Heiko Bauke and Christoph H. Keitel
    «Efficient Integration of Quantum Mechanical Wave Equations by Unitary Transforms»
    peer reviewed article in AIP Conference Proceedings, vol. 1148, nr. 1, pp. 17–20 (2009)
    Abstract

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