Quantum· 2026Q1
Reducing Spatial and Temporal Dimensionality in the Multidimensional Caldeira-Leggett Model
- 1citations
- Q1SCImago
- 2026year
Short summary
An efficient algorithm halves the spatial dimensionality and reduces high-dimensional integrals to 1D/2D for open quantum system simulations by employing a low-rank approximation of the Dyson series and the frozen Gaussian approximation for temporal evolution.
AI-generated from the title and abstract; the full text is not read.
Key points
- Spatial dimensionality of open quantum system simulations is halved using a low-rank approximation of the Dyson series.
- Frozen Gaussian approximation reduces temporal evolution integrals to 1D/2D, independent of Dyson series truncation.
- An efficient algorithm combining these techniques is developed for the multidimensional Caldeira-Leggett model.
- Algorithm validity is demonstrated through numerical experiments, including a 2D double-slit simulation.
AI-generated from the title and abstract; the full text is not read.
Abstract
Focusing on the real-time dynamics of the reduced density matrix of the multidimensional Caldeira-Leggett model, several techniques are adopted in this paper to reduce the spatial and temporal dimensionality, combined into an efficient algorithm. From a spatial perspective, an equivalent formulation of the Dyson series is presented. With the aid of a low-rank approximation, the spatial dimensionality of open quantum system simulations is halved. From a temporal perspective, the frozen Gaussian approximation is used to approximate both the evolution operator and the interaction operator in the multidimensional Caldeira-Leggett model. This reduces the high-dimensional integrals to one- and two-dimensional integrals independent of the truncation level of the Dyson series. Through these techniques, we design an efficient algorithm whose validity is verified through several numerical experiments, including a two-dimensional double slit simulation.
The authors' abstract, as published at the source. Quantum, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Economics and Econometrics
Economics and EconometricsEconomics, Econometrics and Finance