One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis

Abstract

The extended Bose-Hubbard model in a quadratic trap potential is studied using a finite-size density-matrix renormalization group method (DMRG). We compute the boson density profiles, the local compressibility and the hopping correlation functions. We observed the phase separation induced by the trap in all the quantities studied and conclude that the local density approximation is valid in the extended Bose-Hubbard model. From the plateaus obtained in the local compressibility it was possible to obtain the phase diagram of the homogeneous system which is in agreement with previous results.

14 pages, 11 figures

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• Supersolid and solitonic phases in one-dimensional Extended Bose-Hubbard model
• Superfluidity in the 1D Bose-Hubbard Model
• Quantum Phases of Ultracold Bosonic Atoms in a One Dimensional Optical Superlattice
• Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
• Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Studying a relativistic field theory at finite chemical potential with the density matrix renormalization group
• Dynamics of heat and mass transport in a quantum insulator
• Mode folding in systems with local interaction: unitary and non-unitary transformations using tensor states
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder