2018/02/28 by Rukmani Bai, Soumik Bandyopadhyay, Sukla Pal +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ground state #Homogeneous #Magnetic field #Metastability #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Superfluidity #cond-mat.quant-gas #physics.atom-ph
paper · pdf · doi:10.1103/physreva.98.023606
published as Phys. Rev. A 98, 023606 (2018) · 11 pages with 13 figures, Published version
openalex publication_date 2018/08/07 · arxiv created 2018/08/13 · arxiv updated 2018/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum Hall (QH) states of two-dimensional (2D) single-layer optical lattices are examined using the Bose-Hubbard model (BHM) in the presence of an artificial gauge field. We study the QH states of both the homogeneous and inhomogeneous systems. For the homogeneous case, we use cluster Gutzwiller mean-field (CGMF) theory with cluster sizes ranging from 2\ifmmode×\else\texttimes\fi2 to 5\ifmmode×\else\texttimes\fi5. We then consider the inhomogeneous case, which is relevant to experimental realization. In this case, we use CGMF and exact diagonalization (ED). The ED studies are using lattice sizes ranging from 3\ifmmode×\else\texttimes\fi3 to 4\ifmmode×\else\texttimes\fi12. Our results show that the geometries of the QH states are sensitive to the magnetic flux \ensuremathα and cluster sizes. For homogeneous systems, among various combinations of 1/5\ensuremath≤\ensuremathα\ensuremath≤1/2 and filling factor \ensuremathν, only the QH state of \ensuremathα=1/4 with \ensuremathν=1/2,\phantom\rule0.16em0ex1,\phantom\rule0.16em0ex3/2, and 2 occur as ground states. For other combinations, the competing superfluid (SF) state is the ground state and QH state is metastable. For BHM with envelope potential, all the QH states observed in homogeneous systems exist for box potentials, but none exist for the harmonic potential. The QH states also persist for very shallow Gaussian envelope potential. As a possible experimental signature, we study the two-point correlations of the QH and SF states.