Phase diagram of the extended Bose Hubbard model

Abstract

By means of the Density Matrix Renormalization Group technique, we accurately determine the zero-temperature phase diagram of the one-dimensional extended Bose Hubbard model with on-site and nearest-neighbor interactions. We analyze the scaling of the charge and of the neutral ground-state energy gaps, as well as of various order parameters. In this way we come to an accurate location of the boundaries between the superfluid and the insulating phases. In this last region we are able to distinguish between the conventional Mott insulating and density-wave phases, and the Haldane Insulator phase displaying long-range string ordering, as originally predicted by E.G. Dalla Torre, E. Berg and E. Altman in Phys. Rev. Lett. 97, 260401 (2006).

13 pages, 6 figures. To appear in NJP, in the focus issue on "Bose Condensation Phenomena in Atomic and Solid State Physics"

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Hidden order in 1D Bose insulators
• Rise and fall of hidden string order of lattice bosons
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Phase diagram of spin-1 bosons on one-dimensional lattices
• On $c=1$ critical phases in anisotropic spin-1 chains
• Quantized pumping and phase diagram topology of interacting bosons
• Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons
• Photon and polariton fluctuations in arrays of QED-cavities

Cited by in corpus (3)

• Modulational instabilities in lattices with power-law hoppings and interactions
• Topological pumping in the one-dimensional Bose-Hubbard model
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling