Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency

Abstract

We propose an experimental realization of using time-periodically modulated Rabi oscillation and consider two species of hard-core bosons with density dependent hoppings in a one-dimensional optical lattice. Different from the previous work [Phys. Rev. Research 2, 013275 (2020)], in the first resonance region, the intra-species hopping in the effective Hamiltonian occurs only if the density discrepancy of the other species on these sites is zero, while the inter-species hopping process is allowed once the relevant density discrepancy becomes nonzero. The quantum phase diagram for integer-1 filling is determined by combining analytic calculations and various numerical methods. We find that in the limit of dominant J1, the system becomes a double-degenerate dimerized state, with breaking translation symmetry spontaneously. Interplay of J0, J1 and the fixed Ū = 1 leads to three BKT transition lines and a tricritical BKT point. Exact transition lines are obtained by extrapolation following the level spectroscopic technique. Besides, general physical properties, including the charge gap, neutral gap, superfluidity density and dimerization strength, are investigated as well.