  Two-dimensional electronic spectroscopy (2DES) can be implemented with
different geometries, e.g., BOXCARS, collinear and pump-probe geometries. The
pump-probe geometry has its advantage of overlapping only two beams and
reducing phase cycling steps. However, its applications are typically limited
to observe the dynamics with single-quantum coherence and population, leaving
the challenge to measure the dynamics of the double-quantum (2Q) coherence,
which reflects the many-body interactions. We propose an experimental technique
in 2DES under pump-probe geometry with a designed pulse sequence and the signal
processing method to extract 2Q coherence. In the designed pulse sequence with
the probe pulse arriving earlier than pump pulses, our measured signal includes
the 2Q signal as well as the zero-quantum (0Q) signal. With phase cycling and
the data processing using causality enforcement, we extract the 2Q signal. The
proposal is demonstrated with the rubidium atoms. And we observe the collective
resonances of two-body dipole-dipole interactions of both $D_{1}$ and $D_{2}$
lines.
