Phase diagrams of bosonic $A{B}_n$ chains

Abstract

The $A{B}_{N-1}$ chain is a system that consists of repeating a unit cell with $N$ sites, where between the $A$ and $B$ sites there is an energy difference of $\lambda$. We considered bosons in these special lattices and took into account the kinetic energy, the local two-body interaction, and the inhomogenous local energy in the Hamiltonian. We found the charge density wave (CDW) and superfluid and Mott insulator phases, and constructed the phase diagram for $N=2$ and $3$ at the thermodynamic limit. The system exhibited insulator phases for densities $\rho =\alpha /N$, with $\alpha$ being an integer. We obtained that superfluid regions separate the insulator phases for densities larger than one. For any $N$ value, we found that for integer densities $\rho$, the system shows $\rho +1$ insulator phases, a Mott insulator phase, and $\rho$ CDW phases. For non-integer densities larger than one, several CDW phases appear.

arXiv comment8 pages, 13 Figures. Published version

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct Measurement of the Zak phase in Topological Bloch Bands
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Phases of the one-dimensional Bose-Hubbard model
• Dynamic properties of the one-dimensional Bose-Hubbard model
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Exact Study of the 1D Boson Hubbard Model with a Superlattice Potential
• Exploring competing density order in the ionic Hubbard model with ultracold fermions
• Entanglement in spatially inhomogeneous many-fermion systems
• Quantum phase diagram of the generalized ionic Hubbard model for AB${}_n$ chains
• Three body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices
• Pressure-induced phase transitions of halogen-bridged binuclear metal complexes R_4[Pt_2(P_2O_5H_2)_4X]nH_2O
• Mean field analysis of quantum phase transitions in a periodic optical superlattice
• Quantum Phases of Ultracold Bosonic Atoms in a One Dimensional Optical Superlattice
• Controlling coherence via tuning of the population imbalance in a bipartite optical lattice
• Complete phase diagram and topological properties of interacting bosons in one-dimensional superlattices

Cited by in corpus (1)

• Spinor bosons in optical superlattices: a numerical study