Spectral properties of strongly correlated bosons in two-dimensional optical lattices

Abstract

Spectral properties of the two-dimensional Bose-Hubbard model, which emulates ultracold gases of atoms confined in optical lattices, are investigated by means of the variational cluster approach. The phase boundary of the quantum phase transition from Mott phase to superfluid phase is calculated and compared to recent work. Moreover the single-particle spectral functions in both the first and the second Mott lobe are presented and the corresponding densities of states and momentum distributions are evaluated. A qualitatively similar intensity distribution of the spectral weight can be observed for spectral functions in the first and the second Mott lobe.

8 pages, 6 figures, minor changes, version as published

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The ALPS project release 1.3: open source software for strongly correlated systems
• Variational cluster approach to correlated electron systems in low dimensions
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• Dynamical properties of ultracold bosons in an optical lattice
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Variational cluster approach to the Hubbard model: Phase-separation tendency and finite-size effects
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
• Spectral weight redistribution in strongly correlated bosons in optical lattices
• Bose-Hubbard phase diagram with arbitrary integer filling
• Process chain approach to the Bose-Hubbard model: Ground-state properties and phase diagram
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
• Mott transition in bosonic systems: Insights from the variational approach

Cited by in corpus (28)

• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Ultracold bosons with short-range interaction in regular optical lattices
• Nonperturbative renormalization-group approach to strongly-correlated lattice bosons
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Non-perturbative renormalization-group approach to the Bose-Hubbard model
• Variational cluster approach for strongly correlated lattice bosons in the superfluid phase
• Spectral properties of coupled cavity arrays in one dimension
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• Polariton Mott insulator with trapped ions or circuit QED
• Quantum phase transition and excitations of the Tavis-Cummings lattice model
• Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
• Beyond the Hubbard bands in strongly correlated lattice bosons
• Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model
• Variational cluster approach to the single impurity Anderson model
• Bosonic self-energy functional theory
• Numerical calculation of spectral functions of the Bose-Hubbard model using B-DMFT
• Strong coupling expansion for the Bose-Hubbard and the Jaynes-Cummings lattice model
• Excitations in disordered bosonic optical lattices
• Strong-coupling solution of the bosonic dynamical mean-field theory
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
• Polaritonic properties of the Jaynes-Cummings lattice model in two dimensions
• Self-energy functional theory with symmetry breaking for disordered lattice bosons
• Emergence of damped-localized excitations of the Mott state due to disorder
• Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
• Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model
• Phase Diagram and Spectral Function of the Two-Dimensional Disordered Bose-Hubbard Model: A Real-Space Dynamical Mean-Field Theory Analysis