Cluster Mean Field plus Density Matrix Renormalization theory for the Bose Hubbard Model
arXiv:2201.01923 · doi:10.1088/1751-8121/ac71e7
Abstract
We develop a novel approach to understand the phases of one-dimensional Bose-Hubbard models. We integrate the simplicity of the mean-field theory and the numerical power of the density matrix renormalization group method to build an effective numerical technique with moderate computational resources to determine superfluid order parameters and correlation functions of large one-dimensional systems. We demonstrate the applicability of this method to directly identify superfluid, Mott insulator, and density wave phases in Bose-Hubbard models.
8 pages, 11 figures
References in corpus (12)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Phase diagram for a Bose-Einstein condensate moving in an optical lattice
- Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
- Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
- Bose-Hubbard phase diagram with arbitrary integer filling
- Process chain approach to the Bose-Hubbard model: Ground-state properties and phase diagram
- Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
- Edge modes in a frustrated quantum Ising chain