Source: http://www.othmar-koch.org/wwtf-project2015.html
Timestamp: 2019-04-22 15:29:04+00:00

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<!- colors of text and background, "bgcolor" is redundant> The aim of the project MA14-002 'Adaptive Time-Splitting for Many-Body Quantum Propagation' supported by the Vienna Science and Technology Fund (WWTF) is to understand non-equilibrium quantum many-body systems, which is one of the grand challenges in current physics. The ability to describe time-dependent extended systems on a quantitative level promises to open up new technological developments such as laser control of chemical reactions, femtosecond lightfield electronics, and material design for sustainable energy. Most experimental probes of quantum many-body systems rely on so-called pump-probe schemes. The system is driven out of equilibrium and the ensuing dynamics is studied. While for weak pump and probe fields the dynamics can be understood within linear response theory where essentially equilibrium (or near ground state) properties enter, stronger pumping requires a full time-dependent propagation beyond the perturbative limit. While the high-dimensional many-particle Schrödinger equation is too complex to be solved for more than a few particles in three dimensions, practically all approximations to it give rise to coupled nonlinear partial differential equations in space and time in reduced dimensions. Still, propagation of these equations constitutes a major challenge. In this project we aim for the development and implementation of a highly efficient and accurate method, the adaptive time-splitting method, for the propagation of quantum many-body systems presently out of reach. We will investigate the efficiency, error, and speed up of this method and apply it to both fermionic and bosonic systems of current interest. So far, the project yielded the following articles and preprints and conference presentations. A collection of splitting methods constructed in the course of the project or taken from the literature and assessed as to their merits for computational purposes can be found at http://www.asc.tuwien.ac.at/~winfried/splitting/.
F. Lackner, I. Brezinova, T. Sato, K. L. Ishikawa, and J. Burgdörfer, The time-dependent two-particle reduced density matrix method: LiH in strong laser fields, J. Phys.: Conf. Ser. 635(2015), 112084.
T. Sato, K. L. Ishikawa, I. Brezinova, F. Lackner, S. Nagele, and J. Burgdörfer, Time-dependent complete-active-space self-consistent-field method for atoms: Application to high-harmonic generation, Phys. Rev. A 94, 023405 (2016).
You can download a preprint of this paper from https://arxiv.org/abs/1605.00703.
You can download a preprint of this paper from http://arxiv.org/abs/1605.00453 Archived at https://uscholar.univie.ac.at.
You can download a preprint of this paper from http://arxiv.org/abs/1605.00445 Archived at https://uscholar.univie.ac.at.
You can download a preprint of this paper as a .pdf file. Also available from http://arxiv.org/abs/1604.01201 .
F. Lackner, I. Brezinova, T. Sato, K. L. Ishikawa, and J. Burgdörfer, Time-dependent two-particle reduced density matrix theory: Application to high-harmonic generation, J. Phys.: Conf. Ser. 875(2017), 012011.
F. Lackner, I. Brezinova, T. Sato, K. L. Ishikawa, and J. Burgdörfer, Time-dependent two-particle reduced density matrix theory: Application to high-harmonic generation, J. Phys.: Conf. Ser. 875(2017), 022032.
X.-M. Tong, S. Borbely, I. Brezinova, F. Lackner, S. Nagele, J. Feist, L. Nagy, K. Tokesi, N. Toshima, and J. Burgdörfer, Energy straggling cross section for antiproton-atom collisions, J. Phys.: Conf. Ser. 875(2017), 092026.
F. Lackner, I. Brezinova, T. Sato, K. L. Ishikawa, and J. Burgdörfer, High-harmonic spectra from time-dependent two-particle reduced density matrix theory, Phys. Rev. A 95(2017), 033414.
You can download a preprint from https://arxiv.org/abs/1611.00888.
S. Donsa, H. Hofstätter, O. Koch, J. Burgdörfer, and I. Brezinova, Long-time expansion of a Bose-Einstein condensate: Observability of Anderson localization, Phys. Rev. A 96(2017), 043630.
V. Stooß, S. M. Cavaletto, S. Donsa, A. Blättermann, P. Birk, C. H. Keitel, I. Brezinova, J. Burgdörfer, C. Ott, and T.Pfeifer, Real-Time Reconstruction of the Strong-Field-Driven Dipole Response, Phys. Rev. Lett. 121(2018), 173005.
S. Borbely, X.-M. Tong, S. Nagele, J. Feist, I. Brezinova, F. Lackner, L. Nagy, K. Tökesi, and J. Burgdörfer, Electron correlations in the antiproton energy-loss distribution in He, Phys. Rev. A 98, 012707 (2018).
S. Donsa, I. Brezinova, H. Ni, J. Feist, and J. Burgdörfer, Polarization tagging of two-photon double ionization by elliptically polarized XUVs, to appear.
H. Overweg, A. Knothe, T. Fabian, L. Linhart, P. Rickhaus, L. Wernli, K. Watanabe, T. Taniguchi, D. Sanchez, J. Burgdörfer, F. Libisch, V.I. Falko, K. Ensslin, and T. Ihn, Topologically nontrivial valley states in bilayer graphene quantum point contacts, Phys. Rev. Lett. 121, 257702 (2018).
W. Auzinger, Splitting Schemes, Order Conditions, and Optimized Pairs, SciCADE - International Conference on Scientific Computing and Differential Equations Conference 2015, Potsdam, Germany, September 2015. Joint with H. Hofstätter, D. Ketcheson, and O. Koch.
T. Kassebacher, Convergence of Adaptive Splitting and Finite Element Methods for the Schrödinger-Poisson Equation, SciCADE - International Conference on Scientific Computing and Differential Equations Conference 2015, Potsdam, Germany, September 2015. Joint with W. Auzinger, O. Koch, and M. Thalhammer.
O. Koch, Adaptive High-order Time-Splitting Methods for Systems of Evolution Equations. Applications in Quantum Dynamics and Pattern Formation, SciCADE - International Conference on Scientific Computing and Differential Equations Conference 2015, Potsdam, Germany, September 2015. Joint with W. Auzinger, H. Hofstätter, Th. Kassebacher, and M. Thalhammer.
O. Koch (invited talk), Reduced Order of the Local Error of Splitting for Parabolic Problems, ICNAAM 2016, Rhodes, Greece, September 2016. Joint with W. Auzinger, H. Hofstätter, and M. Thalhammer.
I. Brezinova (invited talk), A new theoretical approach for accurate multi-electron dynamics in strong fields: the time-dependent two-particle reduced density matrix method, International Workshop on Atomic Physics, Max-Plank-Institute for Physics of Complex Systems, Dresden, Germany, November 2016. Joint with F. Lackner, T. Sato, K. L. Ishikawa, and J. Burgdörfer.
I. Brezinova (invited talk), Time-dependent two-particle reduced density matrix theory: Application to high-harmonic generation, 12th European Conference on Atoms Molecules and Photons (ECAMP12), Frankfurt/Main, Germany, September 2016. Joint with F. Lackner, T. Sato, K. L. Ishikawa, and J. Burgdörfer.
O. Koch (invited talk), Adaptive Time-splitting FEM discretization of the Schrödinger-Poisson equation, Modern Numerical Methods for Quantum Mechanics, Warsaw, March 2017. Joint with W. Auzinger, Th. Kassebacher, and M. Thalhammer.
O. Koch, Adaptivity for Splitting Schemes for Nonlinear Schrödinger Equations, University of Innsbruck, Innsbruck, July 2017. Joint with W. Auzinger, H. Hofstätter, and M. Thalhammer.
O. Koch (invited talk), Adaptive exponential splitting and Lawson methods for Schrödinger equations, SciCADE 2017, Bath, U.K., September 2017. Joint with W. Auzinger, I. Brezinova, H. Hofstätter, and M. Thalhammer.
S. Donsa, Ultrafast buildup of a Fano resonance in the time domain, 6th International Conference on Attosecond Physics, Xian, China, July 2017. Joint with A. Kaldun, A. Blättermann, V. Stooß, H. Wei, R. Pazourek, S. Nagele, C. Ott, C.-D. Lin, J. Burgdörfer, and T. Pfeifer.
I. Brezinova (invited talk), A new theoretical approach for accurate multi-electron dynamics in strong fields: the time-dependent two-particle reduced density matrix method, 14th International Conference on Multiphoton Processes (ICOMP 2017), Budapest, Hungary, September 2017. Joint with F. Lackner, S. Donsa, T. Sato, K. L. Ishikawa, and J. Burgdörfer.
F. Lackner, The time-dependent two-particle reduced density matrix method"; Vortrag: International Workshop on 'New challenges in Reduced Density Matrix Functional Theory: Symmetries, time-evolution and entanglement', CECAM-HQ-EPFL, Lausanne, Switzerland; September 2017. Joint with S. Donsa, T. Sato, K. L. Ishikawa, J. Burgdörfer, and I. Brezinova.
S. Donsa (invited talk), The time-dependent two-particle reduced density matrix method, Informal seminar of the Departement of Theoretical Condensed Matter at the University Autonoma Madrid, Madrid, Spain, November 2017. Joint with F. Lackner, T. Sato, K. L. Ishikawa, J. Burgdörfer, and I. Brezinova.
S. Donsa, Accurate reconstruction of the non-linear response of matter from spectroscopic absorption data, 49th Annual Meeting of the APS Divison of Atomic, Molecular & Optical Physics, Fort Lauderdale, FL, USA. Published in Bulletin of the American Physical Society (2018), p. 218. Joint with I. Brezinova, J. Burgdörfer, V. Stooß, S. Cavaletto, A. Blättermann, P. Birk, C. Keitel, C. Ott, T. Pfeifer.
S. Donsa, Accurate reconstruction of the non-linear response of matter from spectroscopic absorption data, 49th Annual Meeting of the APS Divison of Atomic, Molecular & Optical Physics, Fort Lauderdale, FL, USA. In Bulletin of the American Physical Society (2018), S. 218. Joint with I. Brezinova, J. Burgdörfer, V. Stooß, S. Cavaletto, A. Blättermann, P. Birk, C. Keitel, C. Ott, T. Pfeifer.
S. Donsa, Long-time expansion of a Bose-Einstein condensate: Does the interacting many-particle system show Anderson localization? 49th Annual Meeting of the APS Divison of Atomic, Molecular & Optical Physics, Fort Lauderdale, FL, USA. In: "Bulletin of the American Physical Society", (2018), S. 173. Joint with H. Hofstätter, O. Koch, J. Burgdörfer, I. Brezinova.
S. Donsa, Accurate reconstruction of the ultrafast non-linear response in the time domain from spectroscopy, Poster at Gordon Research Conference on Multiphoton Processes 2018, Smithfield, RI, USA. Joint with I. Brezinova, J. Burgdörfer, V. Stooß>, S. Cavaletto, A. Blättermann, P. Birk, C. Keitel, C. Ott, T. Pfeifer.
S. Donsa, Real-Time Reconstruction of the Strong-Field-Driven Dipole Response, Poster at Label Free Spectro-Microscopy, Garching, Germany 2018. Joint with I. Brezinova, J. Burgdörfer, V. Stooß, S. Cavaletto, A. Blättermann, P. Birk, C. Keitel, C. Ott, T. Pfeifer.
S. Donsa, Expanding Bose-Einstein condensate in disorder: Role of many-body interactions for Anderson localization, Poster at Research Frontiers in Ultracold Quantum Gases. 685. WE-Heraus Seminar, Bad Honnef, Germany 2018. Joint with R. Wanzenböck, H. Hofstätter, O. Koch, J. Burgdörfer, P. Schlagheck, I. Brezinova.

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