Tuning the quantum phase transition of bosons in optical lattices via periodic modulation of thes-wave scattering length

Abstract

We consider interacting bosons in a 2D square and a 3D cubic optical lattice with a periodic modulation of the s-wave scattering length. At first we map the underlying periodically driven BoseHubbard model for large enough driving frequencies approximately to an effective time-independent Hamiltonian with a conditional hopping. Combining different analytical approaches with quantum Monte Carlo simulations then reveals that the superfluid-Mott insulator quantum phase transition still exists despite the periodic driving and that the location of the quantum phase boundary turns out to depend quite sensitively on the driving amplitude. A more detailed quantitative analysis shows even that the effect of driving can be described within the usual Bose-Hubbard model provided that the hopping is rescaled appropriately with the driving amplitude. This finding indicates that the Bose-Hubbard model with a periodically driven s-wave scattering length and the usual BoseHubbard model belong to the same universality class from the point of view of critical phenomena.

Controlling migration of a pair of correlated particles by doubly modulated fields

“…with  m n ( ) the m n ( ) th order Bessel function of the first kind. The doubly modulated model reduces to single modulated model by setting either K=0 or U 0 1 = [15,16,[29][30][31]. As U 0 w  , the hopping rates recover the previous results of the high frequency limit [32].…”

“…All schemes can contribute to the emulation and a better understanding of the solid state physics. By applying a periodically varied magnetic field in the Feshbach resonance, the on-site interaction can be modulated [29][30][31]. It leads to the density-dependent effective hopping rates, which are mirror-symmetric.…”

Compacton matter waves in binary Bose gases under strong nonlinear management

“…[5]. Properties of the superfluid -Mott transition in a 2D square and a 3D cubic optical lattice with periodic modulation of the atomic scattering length have been investigated in [6]. Modulations of the interactions were used also to design new correlatedhopping models for fermions in optical lattices [7] and, in combination with OL shaking, for engineering unconventional Bose-Hubbard models [8].…”

Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering

“…we avoid the generation of three-and higher-body interactions). One can also consider other situations where the commutators do not grow, for example, when the driving couples to the local in space density-density interaction between fermions [158] or even bosons [159][160][161] (though the bosonic case is more subtle), or when the protocol couples to local in space spin interactions for spin models with spin larger than one half.…”