Excitation and dynamics in the extended bose-hubbard model

Abstract

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the contact ($U$) and near neighbor ($V$) interaction strengths. In this paper we use the density matrix renormalization group and the time evolving block decimation numerical methods to study in detail the dynamics and excitation spectra of this model in its various phases. In particular, we study in detail the behavior of the charge and neutral gaps which characterize the Mott, charge density and Haldane insulating phases. We also show that in addition to the gapless modes at $k=0$, the supersolid phase exhibits gapless modes at a finite $k$ which depends on the filling.

11 pages, 17 figures

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Cited by in corpus (9)

• Extended Bose-Hubbard Model with dipolar and contact interactions
• Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Macroscopic boundary effects in the one-dimensional extended Bose-Hubbard model
• Emergence of damped-localized excitations of the Mott state due to disorder
• Formation of paired phases of bosons and their excitations in a square lattice
• 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