Many-boson quantum states and highly non-equilibrium quantum dynamics of low-dimensional attractive Bose systems

• Applicant: Professor Dr. Lorenz S. Cederbaum
• Subject Area: Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
• Term: from 2013 to 2016
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 235853426

• Final Report Year: 2017

Final Report Abstract

Summarizing, in spite of the restricted funds provided all main objectives and goals declared have been reached. This DFG project can be characterized as very successful. It has enriched the community with the tested, calibrated, benchmarked many-body MCTDHB method capable of solving time-dependent and time-independent Hamiltonians in 1D, 2D, 3D setups with bosons interacting via general interparticle potentials numerically exactly. The developed package is now available within the MCTDHB-Laboratory - a cross-platform (Win/Linux/Mac) scientific environment, see the MCTDHB-Lab web-portal http://www.mctdhb-lab.com, where one can learn and study quantum many-body dynamics by clicking a mouse in the respective JavaFX-based frontend GUI. On the physical side our results have significantly advanced the field of ultracold atoms and molecules, because a lot of new time-independent effects and novel time-dependent phenomena have been discovered, studied, reported and explained. Moreover, explicit recommendations for experimental realizations of the proposed effects and phenomena in a form of feasible and simple dynamical protocols and instructions have been given. Finally, the outcomes of this project have already opened a roadmap for theoretical investigation of many-body effects and dynamical phenomena taking place in ultracold atomic clouds at the highest possible theoretical level available in the field nowadays. With the novel understandings gained and new theoretical tools equipped we expect much more exciting many-body physics and breakthrough discoveries ahead.

Publications

• Physical Review A 89, 023602 (2014) Universality of fragmentation in the Schrödinger dynamics of bosonic Josephson junctions
  Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon, and Lorenz S. Cederbaum
  
• Physical Review A 89, 043604 (2014) Attractive Bose gas in two dimensions: An analytical study of its fragmentation and collapse
  Marios C. Tsatsos
  
• Physical Review A 89, 053620 (2014) Controlling the velocities and the number of emitted particles in the tunneling to open space dynamics
  Axel U. J. Lode, Shachar Klaiman, Ofir E. Alon, Alexej I. Streltsov, and Lorenz S. Cederbaum
  
• Physical Review A 89, 061602(R) (2014) Generic regimes of quantum many-body dynamics of trapped bosonic systems with strong repulsive interactions
  Oksana I. Streltsova, Ofir E. Alon, Lorenz S. Cederbaum, and Alexej I. Streltsov
  
• Physical Review A 90, 043620 (2014) Breaking the resilience of a two-dimensional Bose-Einstein condensate to fragmentation
  Shachar Klaiman, Axel U. J. Lode, Alexej I. Streltsov, Lorenz S. Cederbaum, and Ofir E. Alon
  
• Physical Review A 91, 063613 (2015) Variance as a sensitive probe of correlations
  Shachar Klaiman and Ofir E. Alon
  
• Physical Review A 92, 043627 (2015) Many-body tunneling dynamics of Bose-Einstein condensates and vortex states in two spatial dimensions
  Raphael Beinke, Shachar Klaiman, Lorenz S. Cederbaum, Alexej I. Streltsov, and Ofir E. Alon
  
• Physical Review A 92, 062110 (2015) Quantum speed limit and optimal control of many-boson dynamics
  Ioannis Brouzos, Alexej I. Streltsov, Antonio Negretti, Ressa S. Said, Tommaso Caneva, Simone Montangero, and Tommaso Calarco
  
• ”Tunneling Dynamics in Open Ultracold Bosonic Systems Numerically Exact Dynamics -Analytical Models - Control Schemes”, in Series: Springer Theses
  Lode, Axel U. J.
  
• MCTDHB Physics and Technologies: Excitations and Vorticity, Single-Shot Detection, Measurement of Fragmentation, and Optimal Control in Correlated Ultra-Cold Bosonic Many-Body Systems, in High Performance Computing in Science and Engineering ’15: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2015, edited by W. E. Nagel, D. H. Kröner, M. M. Resch (Springer, Heidelberg, 2016)
  Ofir E. Alon, Vanderlei S. Bagnato, Raphael Beinke, Ioannis Brouzos, Tommaso Calarco, Tommaso Caneva, Lorenz S. Cederbaum, Mark A. Kasevich, Shachar Klaiman, Axel U. J. Lode, Simone Montangero, Antonio Negretti, Ressa S. Said, Kaspar Sakmann, Oksana I. Streltsova, Marcus Theisen, Marios C. Tsatsos, Storm E. Weiner, Tomos Wells, Alexej I. Streltsov