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

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• Pairing and pair superfluid density in one-dimensional Hubbard models
• Breaking of Goldstone modes in two component Bose-Einstein condensate
• Magnetic phase transition in coherently coupled Bose gases in optical lattices
• Persistent currents in coherently coupled Bose-Einstein condensates in a ring trap
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• Miscibility regimes in a ${}^{23}$Na-${}^{39}$K quantum mixture
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• Scaling of Fluctuations in a Trapped Binary Condensate
• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor
• Global and short-range entanglement properties in excited, many-body localized spin chains
• Entanglement entropy of two-species hard-core bosons in one dimension
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices