Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices

Abstract

We study the properties of the Bose-Hubbard model for a quadratic optical superlattice. To this end we generalize a recently established effective potential Landau theory for a single component to the case of multi components and find not only the characteristic incompressible solid phases with fractional filling, but also obtain the underlying quantum phase diagram in the whole parameter region at zero temperature. Comparing our analytic results with corresponding ones from quantum Monte Carlo simulations demonstrates the high accuracy of the generalized effective potential Landau theory (GEPLT). Finally, we comment on the advantages and disadvantages of the GEPLT in view of a direct comparison with a corresponding decoupled mean-field theory.

References in corpus (27)

• 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
• Single-Spin Addressing in an Atomic Mott Insulator
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• A lattice of double wells for manipulating pairs of cold atoms
• Monte Carlo study of two-dimensional Bose-Hubbard model
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
• Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Quantum Phase Diagram of Bosons in Optical Lattices
• Superradiant Solid in Cavity QED Coupled to a Lattice of Rydberg Gas
• Bose-Hubbard phase diagram with arbitrary integer filling
• Process chain approach to the Bose-Hubbard model: Ground-state properties and phase diagram
• Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
• Fractional-filling Mott domains in two dimensional optical superlattices
• Process chain approach to high-order perturbation calculus for quantum lattice models
• Mean field analysis of quantum phase transitions in a periodic optical superlattice
• Excitation Spectra of Bosons in Optical Lattices from Schwinger-Keldysh Calculation
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• Analytical mean-field approach to the phase-diagram of ultracold bosons in optical superlattices
• Perturbative calculation of critical exponents for the Bose-Hubbard model
• Cold-atoms on a two-dimensional square optical lattice with an alternating potential

Cited by in corpus (7)

• Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length
• High-order symbolic strong-coupling expansion for the Bose-Hubbard model
• Superfluid phases of spin-1 bosons in cubic optical lattice
• Tunable anisotropic superfluidity in an optical kagome superlattice
• Quantum Phase diagram and time-of-flight absorption pictures of ultracold Bose system in a square optical superlattice
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice