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Monte Carlo sampling for wavefunctions requiring (anti)symmetrization

Abstract:
Many strongly correlated states, such as those arising in the fractional quantum Hall effect and spin liquids, are described by wavefunctions obtained by dividing particles into multiple clusters, constructing a readily evaluable wavefunction 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.
Publication status:
Accepted
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Somerville College
Role:
Author
ORCID:
0000-0001-7757-5978


More from this funder
Funder identifier:
https://ror.org/00bv9bq36
Grant:
ANRF/ARG/2025/000562/PS
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Funder identifier:
https://ror.org/0101xrq71
Grant:
MTR/2023/000002
More from this funder
Funder identifier:
https://ror.org/0439y7842
Grant:
EP/X030881/1


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Acceptance date:
2026-05-08
EISSN:
1079-7114
ISSN:
0031-9007


Language:
English
Pubs id:
2418239
Local pid:
pubs:2418239
Deposit date:
2026-05-10
ARK identifier:


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