The Miscible-Immiscible Quantum Phase Transition in Coupled Two-Component Bose-Einstein Condensates in 1D Optical Lattices

Abstract

Using numerical techniques, we study the miscible-immiscible quantum phase transition in a linearly coupled binary Bose-Hubbard model Hamiltonian that can describe low-energy properties of a two-component Bose-Einstein condensate in optical lattices. With the quantum many-body ground state obtained from density matrix renormalization group algorithm, we calculate the characteristic physical quantities of the phase transition controlled by the linear coupling between two components. Furthermore we calculate the Binder cumulant to determine the critical point and draw the phase diagram. The strong-coupling expansion shows that in the Mott insulator regime the model Hamiltonian can be mapped to a spin 1/2 XXZ model with a transverse magnetic field.

10 pages, 10 figures, submitted to Phys. Rev. A

References in corpus (5)

• The density-matrix renormalization group in the age of matrix product states
• The Binder Cumulant at the Kosterlitz-Thouless Transition
• Phase separations of bosonic mixtures in optical lattices from macroscopic to microscopic scales
• Comment on "Phase separation in a two-species Bose mixture"
• Anisotropy and universality: Critical Binder cumulant of the two-dimensional Ising model

Cited by in corpus (2)

• Phase transitions of the coherently coupled two-component Bose gas in a square optical lattice
• Scaling of Fluctuations in a Trapped Binary Condensate