Quantum Mechanics (2023/2024)
Organizers:
Mechthild Thalhammer (U. Innsbruck), PF Robin Kaiser (CNRS Nice), Christoph Nägerl (WPI c/o U. Innsbruck), Philipp Haslinger (WPI c/o TU Wien)
Talks
| Henrik R. Larsson |
HS 11 Fak. Math. OMP1, Uni Wien |
Tue, 18. Jul 23, 14:00 |
| Introduction to MCTDH and Tensor Network States |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Uwe Manthe |
HS 11 Fak. Math. OMP1, Uni Wien |
Tue, 18. Jul 23, 14:45 |
| Developments in the non-hierarchical multi-layer MCTDH approach |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Benedikt Kloss |
HS 11 Fak. Math. OMP1, Uni Wien |
Tue, 18. Jul 23, 16:45 |
| Subspace expansions: Schemes to dynamically adapt the approximation
rank or bond dimension |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Nina Glaser |
HS 11 Fak. Math. OMP1, Uni Wien |
Wed, 19. Jul 23, 9:15 |
| Large-scale anharmonic vibrational calculations with the DMRG algorithm |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Uli Schollwöck |
HS 11 Fak. Math. OMP1, Uni Wien |
Wed, 19. Jul 23, 12:00 |
| Dynamics of singlet fission in covalently linked tetracene dimers using
tensor network states |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Irene Burghardt |
HS 11 Fak. Math. OMP1, Uni Wien |
Wed, 19. Jul 23, 14:00 |
| Multiconfigurational quantum dynamics with multiplicative neural network
potentials |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Daniel Pelaez |
HS 11 Fak. Math. OMP1, Uni Wien |
Wed, 19. Jul 23, 14:45 |
| Towards high-dimensional analytical sum-of-products representations |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Markus Schröder |
HS 11 Fak. Math. OMP1, Uni Wien |
Wed, 19. Jul 23, 16:00 |
| Compact representation of operators in sum-of-products form |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Sudip Sasmal |
HS 11 Fak. Math. OMP1, Uni Wien |
Wed, 19. Jul 23, 16:45 |
| Compact sum-of-products form of the molecular electronic Hamiltonian and
its application within the MCTDH method |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Roman Ellerbrock |
HS 11 Fak. Math. OMP1, Uni Wien |
Thu, 20. Jul 23, 9:15 |
| Quantum Circuit simulations with Tree Tensor Network States |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Haobin Wang |
HS 11 Fak. Math. OMP1, Uni Wien |
Thu, 20. Jul 23, 10:00 |
| ML-MCTDH simulation in the interaction picture |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Tucker Carrington |
HS 11 Fak. Math. OMP1, Uni Wien |
Thu, 20. Jul 23, 11:15 |
| Obviating the need for as many points as basis functions when using
collocation with MCTDH to do efficient and accurate quantum dynamics on a general PES |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Micheline Soley |
HS 11 Fak. Math. OMP1, Uni Wien |
Thu, 20. Jul 23, 14:00 |
| Tensor Trains and Quantum Computing for Highly Multidimensional
Molecular Simulations |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Örs Legeza |
HS 11 Fak. Math. OMP1, Uni Wien |
Thu, 20. Jul 23, 14:45 |
| Simulation of long time and Lindbladian evolution via massively parallel hybrid
CPU-GPU based tensor network state algorithms |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Graham Worth |
HS 11 Fak. Math. OMP1, Uni Wien |
Thu, 20. Jul 23, 16:00 |
| New Applications Using ML-MCTDH: Gaussian basis sets and Density
Matrices |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| David Mendive-Tapia |
HS 11 Fak. Math. OMP1, Uni Wien |
Fri, 21. Jul 23, 9:15 |
| Finding optimal multi-layer trees through graph theory |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Jiajun Ren: |
HS 11 Fak. Math. OMP1, Uni Wien |
Fri, 21. Jul 23, 10:00 |
| Tensor Network Methods for Electron-Phonon Problems |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Eric Fischer |
HS 11 Fak. Math. OMP1, Uni Wien |
Fri, 21. Jul 23, 11:15 |
| How Chemistry and Physics Meet in Optical Infrared Cavities: Application of
the MCTDH Method to Vibrational Strong Coupling Models |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Ofir Alon |
HS 11 Fak. Math. OMP1, Uni Wien |
Fri, 21. Jul 23, 14:00 |
| How accurate the MCTDHB wavefunction is: Lessons from numerics, analytics,
and examples |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Peter Schmelcher |
HS 11 Fak. Math. OMP1, Uni Wien |
Fri, 21. Jul 23, 14:15 |
| Impurities in highly imbalanced ultracold mixtures: Controlled transport
and counterflow dynamics |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Tensor Network Methods in Quantum Dynamics“ (2023)
|
| Sergio Blanes |
WPI, OMP 1, Seminar Room 08.135 |
Mon, 26. Feb 24, 10:00 |
| Splitting methods with complex coefficients for the numerical integration of quantum systems |
The evolution of most quantum systems is modeled by differential
equation in the complex space. However, in general, the equations are
numerically solved using integrators with real coefficients. To
consider complex coefficients usually does not make the schemes
computationally more costly and can provide more accurate results. In
this talk, we explore the applicability of splitting methods involving
complex coefficients to solve numerically the time-dependent
Schrödinger equation. There are pros (high accuracy and not to
increase the cost) and cons (instability and loose of qualitative
properties) when using complex coefficients. However, there is a class
of methods with complex coefficients with a particular symmetry that
keep most pros while avoid most cons. This class of integrators are
stable and are conjugate to unitary methods for sufficiently small
step sizes. These are promising methods that we will explore: we build
new methods and we analyse their performance on several examples.
This is joint work with Joakim Bernier, Fernando Casas and Alejandro
Escorihuela. |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Complex operator splitting methods for Ginzburg-Landau equations and related problems" (2024)
|
| Fernando Casas |
WPI, OMP 1, Seminar Room 08.135 |
Tue, 27. Feb 24, 10:00 |
| Symmetric-conjugate splitting methods for evolution equations of parabolic type |
In this talk I will provide a short introduction to a class of operator splitting methods with complex coefficients which possess a special symmetry, the so-called symmetric-conjugate methods, and analyze their application for the time integration of linear evolution problems. Including complex coefficients with non-negative real parts permits the design of favorable high-order schemes that remain stable in the context of parabolic problems.
This sets aside the second-order barrier for standard splitting methods with real coefficients as well as the fourth-order barrier for modified splitting methods involving double commutators. Relevant applications include nonreversible systems and ground state computations for Schr{\"o}dinger equations based on the imaginary time propagation method. |
- Thematic program: Quantum Mechanics (2023/2024)
- Event: Workshop on "Complex operator splitting methods for Ginzburg-Landau equations and related problems" (2024)
|