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We theoretically study an interacting few-body system of Rashba spin-orbitcoupled two-component Bose gases confined in a harmonic trapping potential. Wesolve the interacting Hamiltonian at large Rashba coupling strengths usingExact Diagonalization scheme, and obtain the ground state phase diagram for arange of interatomic interactions and particle numbers. At small particlenumbers, we observe that the bosons condense to an array of topological stateswith n+1/2 quantum angular momentum vortex configurations, where n = 0, 1, 2,3... At large particle numbers, we observe two distinct regimes: at weakerinteraction strengths, we obtain ground states with topological and symmetryproperties that are consistent with mean-field theory computations; at strongerinteraction strengths, we report the emergence of strongly correlated groundstates.

Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases