Work

Exact kinetic propagators for coherent state complex Langevin simulations

Year: 2026

Type: article

Abstract: We introduce and benchmark an improved algorithm for complex Langevin simulations of bosonic coherent state path integrals. Our approach utilizes a Strang splitting of the imaginary-time propagator rather than the conventional linear-order Taylor expansion, allowing us to construct an action that incorporates higher-order terms at negligible computational cost. The resulting algorithm enjoys guaranteed linear stability independent of the imaginary-time discretization, enabling more resource-efficient simulations. We demonstrate this improved performance for single-species bosons and for two-component bosons with Rashba spin-orbit coupling.

Source: Physical Review A

DOI: 10.1103/p87t-vyc9

Authors: Thomas G. Kiely, Ethan C. McGarrigle, Glenn H. Fredrickson

Institutions: Kavli Institute for Theoretical Sciences, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Materials Research Science and Engineering Center, Harvard University, Kavli Institute for Theoretical Physics, University of California, Santa Barbara