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  • Open Access

Monte Carlo Sampling for Wave Functions Requiring Symmetrization or Antisymmetrization

Koyena Bose1,2,*, Steven H. Simon3,†, and Ajit C. Balram1,2,‡

  • *Contact author: koyenab@imsc.res.in
  • †Contact author: steven.simon@physics.ox.ac.uk
  • ‡Contact author: cb.ajit@gmail.com
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Phys. Rev. Lett. 137, 056502 – Published 28 July, 2026

DOI: https://doi.org/10.1103/d9xb-4vq9

Abstract

Many strongly correlated states, such as those arising in the fractional quantum Hall effect and spin liquids, are described by wave functions obtained by dividing particles into multiple clusters, constructing a readily evaluable wave function in each cluster, and (anti)symmetrizing across these clusters. We introduce a method to compute quantities such as energies and correlators, using Monte Carlo simulations for these states. Our framework overcomes the factorial scaling of explicit (anti)symmetrization, allowing for studies of systems beyond the reach of exact diagonalization.

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Phys. Rev. Lett. 137, 056502– Published 28 July, 2026
  • Received 29 October 2025
  • Revised 24 March 2026
  • Accepted 1 June 2026
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