Kernel controlled real-time Complex Langevin simulation
This study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour. We give several examples where we use a systematic scheme to find kernels that restore correct convergence of complex Langevin. The schemes combine prior inform...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2022-01-01
|
| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2022/18/epjconf_confxv2022_08001.pdf |
| _version_ | 1797951135923830784 |
|---|---|
| author | Alvestad Daniel Larsen Rasmus Rothkopf Alexander |
| author_facet | Alvestad Daniel Larsen Rasmus Rothkopf Alexander |
| author_sort | Alvestad Daniel |
| collection | DOAJ |
| description | This study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour. We give several examples where we use a systematic scheme to find kernels that restore correct convergence of complex Langevin. The schemes combine prior information we know about the system and the correctness of convergence of complex Langevin to construct a kernel. This allows us to simulate up to 2β on the real-time Schwinger-Keldysh contour with the 0 + 1 dimensional anharmonic oscillator using m = 1; λ = 24, which was previously unattainable using the complex Langevin equation. |
| first_indexed | 2024-04-10T22:25:54Z |
| format | Article |
| id | doaj.art-115338dec88340ee836aaff3ba9973b0 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-04-10T22:25:54Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-115338dec88340ee836aaff3ba9973b02023-01-17T09:14:37ZengEDP SciencesEPJ Web of Conferences2100-014X2022-01-012740800110.1051/epjconf/202227408001epjconf_confxv2022_08001Kernel controlled real-time Complex Langevin simulationAlvestad Daniel0Larsen Rasmus1Rothkopf Alexander2Faculty of Science and Technology, University of StavangerFaculty of Science and Technology, University of StavangerFaculty of Science and Technology, University of StavangerThis study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour. We give several examples where we use a systematic scheme to find kernels that restore correct convergence of complex Langevin. The schemes combine prior information we know about the system and the correctness of convergence of complex Langevin to construct a kernel. This allows us to simulate up to 2β on the real-time Schwinger-Keldysh contour with the 0 + 1 dimensional anharmonic oscillator using m = 1; λ = 24, which was previously unattainable using the complex Langevin equation.https://www.epj-conferences.org/articles/epjconf/pdf/2022/18/epjconf_confxv2022_08001.pdf |
| spellingShingle | Alvestad Daniel Larsen Rasmus Rothkopf Alexander Kernel controlled real-time Complex Langevin simulation EPJ Web of Conferences |
| title | Kernel controlled real-time Complex Langevin simulation |
| title_full | Kernel controlled real-time Complex Langevin simulation |
| title_fullStr | Kernel controlled real-time Complex Langevin simulation |
| title_full_unstemmed | Kernel controlled real-time Complex Langevin simulation |
| title_short | Kernel controlled real-time Complex Langevin simulation |
| title_sort | kernel controlled real time complex langevin simulation |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2022/18/epjconf_confxv2022_08001.pdf |
| work_keys_str_mv | AT alvestaddaniel kernelcontrolledrealtimecomplexlangevinsimulation AT larsenrasmus kernelcontrolledrealtimecomplexlangevinsimulation AT rothkopfalexander kernelcontrolledrealtimecomplexlangevinsimulation |