TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.3.054
TI  - A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons
PY  - 2023/03/29
UR  - https://www.scipost.org/SciPostPhys.14.3.054
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 3
SP  - 054
A1  - Casiano-Diaz, Emanuel
AU  - Herdman, C. M.
AU  - Del Maestro, Adrian
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.14.3.054,
	title={{A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons}},
	author={Emanuel Casiano-Diaz and C. M. Herdman and Adrian Del Maestro},
	journal={SciPost Phys.},
	volume={14},
	pages={054},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.3.054},
	url={https://scipost.org/10.21468/SciPostPhys.14.3.054},
}