Multiparticle cumulant mapping for Coulomb explosion imaging: Calculations and algorithm

Cheng, Chuan; Frasinski, Leszek J.; Moğol, Gönenç; Allum, Felix; Howard, Andrew J.; Bucksbaum, Philip H.; Forbes, Ruaridh; Weinacht, Thomas

doi:10.1103/physreva.109.042802

Title: Multiparticle cumulant mapping for Coulomb explosion imaging: Calculations and algorithm

Journal Article · 31 March 2024 · Physical Review A

DOI: https://doi.org/10.1103/physreva.109.042802 · OSTI ID:2405010

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Stony Brook Univ., NY (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Institute (PULSE); SLAC
Imperial College, London (United Kingdom)
Stony Brook Univ., NY (United States)
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Institute (PULSE); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Linac Coherent Light Source (LCLS)
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Institute (PULSE); Stanford Univ., CA (United States)

We present a versatile cumulant mapping algorithm for analyzing correlated particle emission, offering insights into complex electronic and nuclear dynamics. Recently, we have demonstrated the use of cumulant mapping to extract information-rich correlations between the momenta of multiple fragments produced in Coulomb explosion imaging experiments [C. Cheng et al., Phys. Rev. Lett. 130, 093001 (2023)]. We define cumulant mapping in terms of histograms, enabling fast computation of linear (additive) observables. However, applying the same algorithm to nonlinear (nonadditive) observables poses challenges, as the computation time of conventional estimators scales nonlinearly with data size. To overcome this, we develop estimators and an accompanying algorithm to enable computationally efficient estimation of the cumulant of interest. Comparisons of computation times and signal-to-noise ratios reveal the superior performance of our approach. This method is demonstrated on the (D+, D+, C+, O+) dissociation channel of CD₂⁢O⁴⁺ produced in a strong-field ionization experiment. Additionally, Poisson statistics are used to simulate the two methods and provide insights into the efficiency of our algorithm. The proposed methodology unlocks efficient computation of cumulant mapping for a broader range of complex systems and observables, such as the laser pulse dependence of ionization dynamics.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division (CSGB)

Grant/Contract Number:: AC02-76SF00515; FG02-08ER15984

OSTI ID:: 2405010

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 109; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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