Engineering interactions shape in resonantly driven bosonic gas

Abstract

In systems with fast periodic driving, there are special subsets of (resonant) states, which behavior can be described with effective, time-independent Hamiltonian in a rotating reference frame. Here, we show that experimentally feasible system of ultracold bosonic atoms on a ring with rapidly oscillating scattering length can be used to simulate time-independent two-component atomic mixture with exotic, long-range interactions.

Figures (2)

• Figure 1: Visualization of the analyzed system of identical bosons. Half of the total number of atoms move clockwise, and half moves counterclockwise along the ring with a frequency $\omega/2$. The s-wave scattering length of atoms is periodically modulated with a frequency $\omega$. Although the original interactions between atoms are contact interactions, the system allows the simulation of a two-component boson gas with arbitrary long-range inter-component interactions.
• Figure 2: Visualization of the different terms in the Hamiltonian (\ref{['double_well']}). Blues dots illustrate momentum states (chain in the momentum space), while solid black line show single particle kinetic energy (double well in the momentum space). Couplings between states is indicated with purple arrows.