Magnetic phase transition in coherently coupled Bose gases in optical lattices

Abstract

We describe the ground state of a gas of bosonic atoms with two coherently coupled internal levels in a deep optical lattice in a one dimensional geometry. In the single-band approximation this system is described by a Bose-Hubbard Hamiltonian. The system has a superfluid and a Mott insulating phase which can be either paramagnetic or ferromagnetic. We characterize the quantum phase transitions at unit filling by means of a density matrix renormalization group technique and compare it with a mean-field approach. The presence of the ferromagnetic Ising-like transition modifies the Mott lobes. In the Mott insulating region the system maps to the ferromagnetic spin-1/2 XXZ model in a transverse field and the numerical results compare very well with the analytical results obtained from the spin model. In the superfluid regime quantum fluctuations strongly modify the phase transition with respect to the well established mean-field three dimensional classical bifurcation.

6 pages, 3 figures

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• Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Breaking of Goldstone modes in two component Bose-Einstein condensate
• Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices
• Phase transitions of the coherently coupled two-component Bose gas in a square optical lattice
• Effective control of chemical potentials by Rabi coupling with rf-fields in ultracold mixtures