A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons
Abstract
A ground state path integral quantum Monte Carlo algorithm is introduced that allows for the study of entanglement in lattice bosons at zero temperature. The Rényi entanglement entropy between spatial subregions is explored across the phase diagram of the one dimensional Bose-Hubbard model for systems consisting of up to L=256 sites at unit-filling without any restrictions on site occupancy, far beyond the reach of exact diagonalization. The favorable scaling of the algorithm is demonstrated through a further measurement of the Rényi entanglement entropy at the two dimensional superfluid-insulator critical point for large system sizes, confirming the existence of the expected entanglement boundary law in the ground state. The Rényi estimator is extended to measure the symmetry resolved entanglement that is operationally accessible as a resource for experimentally relevant lattice gases with fixed total particle number.
- Authors:
-
- Los Alamos National Laboratory, University of Tennessee at Knoxville
- Middlebury College
- University of Tennessee at Knoxville
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
- OSTI Identifier:
- 1963993
- Alternate Identifier(s):
- OSTI ID: 1975029
- Report Number(s):
- LA-UR-22-26315
Journal ID: ISSN 2542-4653; 054
- Grant/Contract Number:
- 20210662ECR; 89233218CNA000001; DMR-1553991; DMR-2041995
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 14 Journal Issue: 3; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Entanglement; Monte Carlo; Path integral Monte Carlo; Physics; Quantum many body; Emanuel Casiano Diaz; Accessible entanglement; Symmetry resolved entanglement; Replica trick; Swap; Bose Hubbard model
Citation Formats
Casiano-Diaz, Emanuel, Herdman, C. M., and Del Maestro, Adrian. A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons. Netherlands: N. p., 2023.
Web. doi:10.21468/SciPostPhys.14.3.054.
Casiano-Diaz, Emanuel, Herdman, C. M., & Del Maestro, Adrian. A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons. Netherlands. https://doi.org/10.21468/SciPostPhys.14.3.054
Casiano-Diaz, Emanuel, Herdman, C. M., and Del Maestro, Adrian. Wed .
"A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons". Netherlands. https://doi.org/10.21468/SciPostPhys.14.3.054.
@article{osti_1963993,
title = {A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons},
author = {Casiano-Diaz, Emanuel and Herdman, C. M. and Del Maestro, Adrian},
abstractNote = {A ground state path integral quantum Monte Carlo algorithm is introduced that allows for the study of entanglement in lattice bosons at zero temperature. The Rényi entanglement entropy between spatial subregions is explored across the phase diagram of the one dimensional Bose-Hubbard model for systems consisting of up to L=256 L = 256 sites at unit-filling without any restrictions on site occupancy, far beyond the reach of exact diagonalization. The favorable scaling of the algorithm is demonstrated through a further measurement of the Rényi entanglement entropy at the two dimensional superfluid-insulator critical point for large system sizes, confirming the existence of the expected entanglement boundary law in the ground state. The Rényi estimator is extended to measure the symmetry resolved entanglement that is operationally accessible as a resource for experimentally relevant lattice gases with fixed total particle number.},
doi = {10.21468/SciPostPhys.14.3.054},
journal = {SciPost Physics},
number = 3,
volume = 14,
place = {Netherlands},
year = {Wed Mar 29 00:00:00 EDT 2023},
month = {Wed Mar 29 00:00:00 EDT 2023}
}
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