Superfluid weight and polarization amplitude in the one-dimensional bosonic Hubbard model

• Type: Article in International Scientific Journal
• Date: 2019-11-25

Authors

B. Hetényi (Author) Other; Luís M. Martelo (Author) FEUP; B. Tanatar (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Phys. Rev. B - Physical Review B

Vol. 100 No. 17

Pages: 174517-1-174517-9

ISSN: 1098-0121

Indexing

ISI Web of Science

Scopus

INSPEC

Other information

DOI: 10.1103/PhysRevB.100.174517

Abstract (EN): We calculate the superfluid weight and the polarization amplitude for the one-dimensional bosonic Hubbard model with focus on the strong-coupling regime via variational, exact diagonalization, and strong coupling calculations. Our variational approach is based on the Baeriswyl wave function, implemented via Monte Carlo sampling. We derive the superfluid weight appropriately in a variational setting. We emphasize the importance of implementing the Peierls phase in position space and to allow for many-body interference effects, rather than implementing the Peierls phase as single particle momentum shifts. At integer filling, the Baeriswyl wave function gives zero superfluid response at any coupling. At half filling our variational superfluid weight is in reasonable agreement with exact diagonalization results. We also calculate the polarization amplitude, the variance of the total position, and the associated size scaling exponent, which corroborate that this variational approach produces an insulating state at integer filling. Our Baeriswyl based variational method is applicable to significantly larger system sizes than exact diagonalization or quantum Monte Carlo.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9