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Cold collisions between two Rydberg rubidium atoms ($^{87}$Rb) are investigated by controlling the impact parameter and collision energy. Optical tweezers are employed to hold one atom stationary while propelling the other to a constant velocity. After the tweezers are deactivated, both atoms are excited to a Rydberg state by a $\pi$-pulse. After a collision, a second $\pi$-pulse is applied. If the stationary atom does not experience a significant momentum transfer and is de-excited to its ground state, it can be recaptured when reactivating the tweezer. The impact parameter dependent collision probability is extracted from the atom loss from the tweezer and used to evaluate the collisional cross section between Rydberg atoms. Quantum and classical simulations of elastic two-body collisions show good agreement with the present experimental data and provide insights into the critical parameter regime where quantum effects become important., Comment: 8 pages, 5 figure

Movable single atoms have drawn significant attention for their potentials as flying quantum memory in non-local, dynamic quantum computing architectures. However, when dynamic optical tweezers are employed to control atoms opto-mechanically, conventional methods such as adiabatic controls and constant jerk controls are either inherently slow or induce mechanical heating, leading to atom loss over long distances or at high speeds. To address these challenges, we explore the method known as shortcuts to adiabaticity (STA) as an efficient alternative for fast and reliable atom transport control. We present a series of proof-of-concept experiments demonstrating that STA-based optical tweezer trajectories can achieve both rapid and reliable single-atom transport. These experiments include moving atoms between two locations, adjusting speeds en route, and navigating curved trajectories. Our results indicate that atoms can be transported with a constant acceleration on average over distances that is only limited by trap lifetime, while effectively suppressing vibrational heating. This makes STA methods particularly well-suited for long-distance atom transport, potentially spanning distances over centimeter scales, such as between quantum information devices., Comment: 10 pages, 5 figures