Floating Block Method for Quantum Monte&nbsp;Carlo Simulations

Sarkar, Avik; Lee, Dean; Meißner, Ulf-G

doi:10.1103/physrevlett.131.242503

Floating Block Method for Quantum Monte Carlo Simulations

Journal Article · Thu Dec 14 04:00:00 EST 2023 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.131.242503· OSTI ID:2246901

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Forschungszentrum Jülich (Germany); Michigan State University, East Lansing, MI (United States); Michigan State University
Michigan State University, East Lansing, MI (United States)
Universität Bonn (Germany); Forschungszentrum Jülich (Germany); Tbilisi State University (Georgia)

Quantum Monte Carlo simulations are powerful and versatile tools for the quantum many-body problem. In addition to the usual calculations of energies and eigenstate observables, quantum Monte Carlo simulations can in principle be used to build fast and accurate many-body emulators using eigenvector continuation or design time-dependent Hamiltonians for adiabatic quantum computing. Furthermore, these new applications require something that is missing from the published literature, an efficient quantum Monte Carlo scheme for computing the inner product of ground state eigenvectors corresponding to different Hamiltonians. In this work, we introduce an algorithm called the floating block method, which solves the problem by performing Euclidean time evolution with two different Hamiltonians and interleaving the corresponding time blocks. We use the floating block method and nuclear lattice simulations to build eigenvector continuation emulators for energies of ⁴He, ⁸Be, ¹²C, and ¹⁶O nuclei over a range of local and nonlocal interaction couplings. From the emulator data, we identify the quantum phase transition line from a Bose gas of alpha particles to a nuclear liquid.

View Accepted Manuscript (DOE)

Research Organization:: Michigan State University, East Lansing, MI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0013365; SC0021152; SC0023658; SC0024586; SC0023175

OSTI ID:: 2246901

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 131; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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