Alexander Rothkopf tells us about going Towards robust real-time dynamics with complex Langevin.
Apologies for the lack of audio in places.
Abstract:
The simulation of discretized quantum fields in Euclidean time has provided vital insights into the static and thermodynamic properties of many phenomenologically relevant systems. At the same time, access to dynamical properties, such as transport coefficients and genuine non-equilibrium dynamics is so far severely limited, due to the NP-hard sign problem. Several strategies are currently explored to attack the sign problem [1], among them so called complex Langevin. While promising, it is known to suffer from the occurrence of runaway trajectories and convergence to incorrect solutions. In this talk I report on recent progress in the implementation of direct real-time simulations, based on the complex Langevin strategy. As a first step, we have shown [2] how to avoid runaway trajectories by using inherently stable implicit solvers for the Langevin dynamics. As a second step we developed a novel strategy [3] to incorporate system specific prior knowledge into the simulations with the goal to reduce the severity of the sign problem, based on the concept of kernelled complex Langevin. This strategy allows us to extend the previous record in real-time extent for complex Langevin by factor three.
[1] C.E. Berger et.al., Physics Reports Volume 892, 2021
[2] D. Alvestad, R. Larsen, A.R., JHEP 08 (2021) 138 (arXiv:2105.02735)
[3] D. Alvestad, R. Larsen, A.R. (in preparation, contributions to ConfXV, LATTICE2022)
Slides:
https://drive.google.com/drive/folders/1cENWFHwBgASQjoP5BymL1Qsr3pG5wpn9?usp=sharing
Bio:
Alexander Rothkopf is a Professor of Physics at the University of Stavanger, Norway. Prof. Rothkopf received his PhD in Physics from the University of Tokyo with a research area in theoretical high energy nuclear physics with a focus on real-time dynamics from lattice QCD. Prof. Rothkopf is particularly interested in the bound states of heavy quarks (known as quarkonia) and their modification by the presence of a hot QCD medium.
Prof. Rothkopf actively collaborates with colleagues at the DFG funded center of excellence SFB1225 ISOQUANT at the University of Heidelberg, was awarded a highly competitive Young Research Talent grants from the Norwegian Research Council, received the Nuclear Physics A Young Scientists Award at the XXV International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2015) in Kobe, Japan, and is the Stavanger city coordinator for Pint of Science Norway.
Apologies for the lack of audio in places.
Abstract:
The simulation of discretized quantum fields in Euclidean time has provided vital insights into the static and thermodynamic properties of many phenomenologically relevant systems. At the same time, access to dynamical properties, such as transport coefficients and genuine non-equilibrium dynamics is so far severely limited, due to the NP-hard sign problem. Several strategies are currently explored to attack the sign problem [1], among them so called complex Langevin. While promising, it is known to suffer from the occurrence of runaway trajectories and convergence to incorrect solutions. In this talk I report on recent progress in the implementation of direct real-time simulations, based on the complex Langevin strategy. As a first step, we have shown [2] how to avoid runaway trajectories by using inherently stable implicit solvers for the Langevin dynamics. As a second step we developed a novel strategy [3] to incorporate system specific prior knowledge into the simulations with the goal to reduce the severity of the sign problem, based on the concept of kernelled complex Langevin. This strategy allows us to extend the previous record in real-time extent for complex Langevin by factor three.
[1] C.E. Berger et.al., Physics Reports Volume 892, 2021
[2] D. Alvestad, R. Larsen, A.R., JHEP 08 (2021) 138 (arXiv:2105.02735)
[3] D. Alvestad, R. Larsen, A.R. (in preparation, contributions to ConfXV, LATTICE2022)
Slides:
https://drive.google.com/drive/folders/1cENWFHwBgASQjoP5BymL1Qsr3pG5wpn9?usp=sharing
Bio:
Alexander Rothkopf is a Professor of Physics at the University of Stavanger, Norway. Prof. Rothkopf received his PhD in Physics from the University of Tokyo with a research area in theoretical high energy nuclear physics with a focus on real-time dynamics from lattice QCD. Prof. Rothkopf is particularly interested in the bound states of heavy quarks (known as quarkonia) and their modification by the presence of a hot QCD medium.
Prof. Rothkopf actively collaborates with colleagues at the DFG funded center of excellence SFB1225 ISOQUANT at the University of Heidelberg, was awarded a highly competitive Young Research Talent grants from the Norwegian Research Council, received the Nuclear Physics A Young Scientists Award at the XXV International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2015) in Kobe, Japan, and is the Stavanger city coordinator for Pint of Science Norway.
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